Wir freuen uns, Ihnen dieses Jahr ausgewählte Mathematik-Bücher im Yellow Sale bei TU-BOOKS anbieten zu können.

Stability Analysis of Nonlinear Systems

Springer International Publishing

Seiten xi,329

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319271996

58.84 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319271996

58.84 €

(inkl. 7% Mwst)

Lieferstatus

The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners.

Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.

5000 Years of Geometry

Mathematics in History and Culture

Springer Basel

Seiten xii,626

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783034808972

64.19 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783034808972

64.19 €

(inkl. 7% Mwst)

Lieferstatus

The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book 5000 Jahre Geometrie, in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering.

Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first Golden Age in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries.

Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr

y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times.The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history.

From letters to the authors for the German language edition

I hope it gets a translation, as there is no comparable work.

Prof. J. Grattan-Guinness (Middlesex University London)

`Five Thousand Years of Geometry` - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically!

Prof. J.W. Dauben (City University of New York)

An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history.

The graphic design is also excellent.

Prof. Z. Nádenik (Czech Technical University in Prague)

A Brief on Tensor Analysis

Springer New York

Seiten xiv,114

Erscheinungsjahr 1994

Einband: Hardcover

ISBN 9780387940885

21.39 €

(inkl. 7% Mwst)
In this text which gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics, the mathematics of tensor analysis is introduced in four, well-separated stages, and the physical interpretation and application of vectors and tensors are stressed throughout. This new edition contains more exercises. In addition, the author has appended a section on Differential Geometry.

Erscheinungsjahr 1994

Einband: Hardcover

ISBN 9780387940885

21.39 €

(inkl. 7% Mwst)

Lieferstatus

A Brief on Tensor Analysis

Springer New York

Seiten xiv,114

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9781461264248

21.39 €

(inkl. 7% Mwst)
In this text which gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics, the mathematics of tensor analysis is introduced in four, well-separated stages, and the physical interpretation and application of vectors and tensors are stressed throughout. This new edition contains more exercises. In addition, the author has appended a section on Differential Geometry.

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9781461264248

21.39 €

(inkl. 7% Mwst)

Lieferstatus

A Course in Commutative Algebra

Springer Berlin Heidelberg

Seiten xii,248

Erscheinungsjahr 2011

Einband: Hardcover

ISBN 9783642035449

28.88 €

(inkl. 7% Mwst)

Erscheinungsjahr 2011

Einband: Hardcover

ISBN 9783642035449

28.88 €

(inkl. 7% Mwst)

Lieferstatus

This textbook offers a thorough, modern introduction into commutative algebra. It is intented mainly to serve as a guide for a course of one or two semesters, or for self-study. The carefully selected subject matter concentrates on the concepts and results at the center of the field. The book maintains a constant view on the natural geometric context, enabling the reader to gain a deeper understanding of the material. Although it emphasizes theory, three chapters are devoted to computational aspects. Many illustrative examples and exercises enrich the text.

A Course in Commutative Algebra

Springer Berlin Heidelberg

Seiten xii,248

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9783642266324

28.88 €

(inkl. 7% Mwst)
This textbook offers a thorough, modern introduction into commutative algebra. It is intented mainly to serve as a guide for a course of one or two semesters, or for self-study. The carefully selected subject matter concentrates on the concepts and results at the center of the field. The book maintains a constant view on the natural geometric context, enabling the reader to gain a deeper understanding of the material. Although it emphasizes theory, three chapters are devoted to computational aspects. Many illustrative examples and exercises enrich the text.

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9783642266324

28.88 €

(inkl. 7% Mwst)

Lieferstatus

A Course in Credibility Theory and its Applications

Springer Berlin Heidelberg

Seiten xviii,338

Erscheinungsjahr 2005

Einband: Softcover

ISBN 9783540257530

26.74 €

(inkl. 7% Mwst)
This book is ideal for practicing experts in particular actuaries in the field of property-casualty insurance, life insurance, reinsurance and insurance supervision, as well as teachers and students. It provides an exploration of Credibility Theory, covering most aspects of this topic from the simplest case to the most detailed dynamic model. The book closely examines the tasks an actuary encounters daily: estimation of loss ratios, claim frequencies and claim sizes.

Erscheinungsjahr 2005

Einband: Softcover

ISBN 9783540257530

26.74 €

(inkl. 7% Mwst)

Lieferstatus

A Course in Number Theory and Cryptography

Springer New York

Seiten x,235

Erscheinungsjahr 1994

Einband: Hardcover

ISBN 9780387942933

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 1994

Einband: Hardcover

ISBN 9780387942933

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. As such, no background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. The approach taken is algorithmic, emphasising estimates of the efficiency of the techniques that arise from the theory, and one special feature is the inclusion of recent applications of the theory of elliptic curves. Extensive exercises and careful answers are an integral part all of the chapters.

A Course in Number Theory and Cryptography

Springer New York

Seiten x,235

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9781461264422

26.74 €

(inkl. 7% Mwst)
This is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. As such, no background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. The approach taken is algorithmic, emphasising estimates of the efficiency of the techniques that arise from the theory, and one special feature is the inclusion of recent applications of the theory of elliptic curves. Extensive exercises and careful answers are an integral part all of the chapters.

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9781461264422

26.74 €

(inkl. 7% Mwst)

Lieferstatus

A Cp-Theory Problem Book

Special Features of Function Spaces

Springer International Publishing

Seiten xiv,583

Erscheinungsjahr 2014

Einband: Hardcover

ISBN 9783319047461

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2014

Einband: Hardcover

ISBN 9783319047461

37.44 €

(inkl. 7% Mwst)

Lieferstatus

This work is a continuation of the first volume published by Springer in 2011, entitled `A Cp-Theory Problem Book: Topological and Function Spaces.` The first volume provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This present volume covers a wide variety of topics in Cp-theory and general topology at the professional level bringing the reader to the frontiers of modern research. The volume contains 500 problems and exercises with complete solutions. It can also be used as an introduction to advanced set theory and descriptive set theory. The book presents diverse topics of the theory of function spaces with the topology of pointwise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from these areas of research. Moreover, this book gives a reasonably complete coverage of Cp-theory through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research.

A Cp-Theory Problem Book

Special Features of Function Spaces

Springer International Publishing

Seiten xiv,583

Erscheinungsjahr 2014

Einband: Softcover

ISBN 9783319377940

37.44 €

(inkl. 7% Mwst)
This work is a continuation of the first volume published by Springer in 2011, entitled `A Cp-Theory Problem Book: Topological and Function Spaces.` The first volume provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This present volume covers a wide variety of topics in Cp-theory and general topology at the professional level bringing the reader to the frontiers of modern research. The volume contains 500 problems and exercises with complete solutions. It can also be used as an introduction to advanced set theory and descriptive set theory. The book presents diverse topics of the theory of function spaces with the topology of pointwise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from these areas of research. Moreover, this book gives a reasonably complete coverage of Cp-theory through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research.

Erscheinungsjahr 2014

Einband: Softcover

ISBN 9783319377940

37.44 €

(inkl. 7% Mwst)

Lieferstatus

A First Course in Differential Equations

Springer International Publishing

Seiten xiii,369

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319178516

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319178516

26.74 €

(inkl. 7% Mwst)

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The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that *differential equations are about applications*. This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject.

This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLAB® supplement that gives basic codes and commands for solving differential equations. MATLAB® is not required; students are encouraged to utilize available software to plot many of their solutions. Solutions to even-numbered problems are available on springer.com.

**From the reviews of the second edition:**

The coverage of linear systems in the plane is nicely detailed and illustrated. Simple numerical methods are illustrated and the use of Maple and MATLAB is encouraged. select Dave Logans new and improved text for my course.

Robert E. OMalley, Jr., **SIAM Review**, Vol. 53 (2), 2011

Aims to provide material for a one-semester course that emphasizes the basic ideas, solution methods, and an introduction to modeling. The book that results offers a concise introduction to the subject for students of mathematics, science and engineering who have completed the introductory calculus sequence. This book is worth a careful look as a candidate text for the next differential equations course you teach.

William J. Satzer, **MAA Reviews**, January, 2011

A First Course in Differential Equations

Springer International Publishing

Seiten xiii,369

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319330754

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319330754

26.74 €

(inkl. 7% Mwst)

Lieferstatus

The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that *differential equations are about applications*. This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject.

This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLAB® supplement that gives basic codes and commands for solving differential equations. MATLAB® is not required; students are encouraged to utilize available software to plot many of their solutions. Solutions to even-numbered problems are available on springer.com.

**From the reviews of the second edition:**

The coverage of linear systems in the plane is nicely detailed and illustrated. Simple numerical methods are illustrated and the use of Maple and MATLAB is encouraged. select Dave Logans new and improved text for my course.

Robert E. OMalley, Jr., **SIAM Review**, Vol. 53 (2), 2011

Aims to provide material for a one-semester course that emphasizes the basic ideas, solution methods, and an introduction to modeling. The book that results offers a concise introduction to the subject for students of mathematics, science and engineering who have completed the introductory calculus sequence. This book is worth a careful look as a candidate text for the next differential equations course you teach.

William J. Satzer, **MAA Reviews**, January, 2011

A Mathematical Odyssey

Journey from the Real to the Complex

Springer US

Seiten xvi,382

Erscheinungsjahr 2014

Einband: Softcover

ISBN 9781489978448

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2014

Einband: Softcover

ISBN 9781489978448

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a cross-section of mankind as possible be conversant with what goes on in mathematics. Just as everyone knows that the Internet is a powerful and important tool for communication, so everyone should know that the Poincaré conjecture gives us important information about the shape of our universe. Just as every responsible citizen realizes that the mass-production automobile was pioneered by Henry Ford, so everyone should know that the P/NP problem has implications for security and data manipulation that will affect everyone.

This book endeavors to tell the story of the modern impact of mathematics, of its trials and triumphs and insights, in language that can be appreciated by a broad audience. It endeavors to show what mathematics means for our lives, how it impacts all of us, and what new thoughts it should cause us to entertain. It introduces new vistas of mathematical ideas and shares the excitement of new ideas freshly minted. It discusses the significance and impact of these ideas, and gives them meaning that will travel well and cause people to reconsider their place in the universe.

Mathematics is one of mankind`s oldest disciplines. Along with philosophy, it has shaped the very modus of human thought. And it continues to do so. To be unaware of modern mathematics is to miss out on a large slice of life. It is to be left out of essential modern developments. We want to address this point, and do something about it. This is a book to make mathematics exciting for people of all interests and all walks of life. Mathematics is exhilarating, it is ennobling, it is uplifting, and it is fascinating. We want to show people this part of our world, and to get them to travel new paths.

A Mathematical Odyssey

Journey from the Real to the Complex

Springer US

Seiten xvi,382

Erscheinungsjahr 2014

Einband: Hardcover

ISBN 9781461489382

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2014

Einband: Hardcover

ISBN 9781461489382

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a cross-section of mankind as possible be conversant with what goes on in mathematics. Just as everyone knows that the Internet is a powerful and important tool for communication, so everyone should know that the Poincaré conjecture gives us important information about the shape of our universe. Just as every responsible citizen realizes that the mass-production automobile was pioneered by Henry Ford, so everyone should know that the P/NP problem has implications for security and data manipulation that will affect everyone.

This book endeavors to tell the story of the modern impact of mathematics, of its trials and triumphs and insights, in language that can be appreciated by a broad audience. It endeavors to show what mathematics means for our lives, how it impacts all of us, and what new thoughts it should cause us to entertain. It introduces new vistas of mathematical ideas and shares the excitement of new ideas freshly minted. It discusses the significance and impact of these ideas, and gives them meaning that will travel well and cause people to reconsider their place in the universe.

Mathematics is one of mankind`s oldest disciplines. Along with philosophy, it has shaped the very modus of human thought. And it continues to do so. To be unaware of modern mathematics is to miss out on a large slice of life. It is to be left out of essential modern developments. We want to address this point, and do something about it. This is a book to make mathematics exciting for people of all interests and all walks of life. Mathematics is exhilarating, it is ennobling, it is uplifting, and it is fascinating. We want to show people this part of our world, and to get them to travel new paths.

A New Direction in Mathematics for Materials Science

Springer Japan

Seiten x,86

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9784431558620

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9784431558620

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This book is the first volume of the SpringerBriefs in the Mathematics of Materials and provides a comprehensive guide to the interaction of mathematics with materials science. The anterior part of the book describes a selected history of materials science as well as the interaction between mathematics and materials in history. The emergence of materials science was itself a result of an interdisciplinary movement in the 1950s and 1960s. Materials science was formed by the integration of metallurgy, polymer science, ceramics, solid state physics, and related disciplines. We believe that such historical background helps readers to understand the importance of interdisciplinary interaction such as mathematicsmaterials science collaboration.

The middle part of the book describes mathematical ideas and methods that can be applied to materials problems and introduces some examples of specific studiesfor example, computational homology applied to structural analysis of glassy materials, stochastic models for the formation process of materials, new geometric measures for finite carbon nanotube molecules, mathematical technique predicting a molecular magnet, and network analysis of nanoporous materials. The details of these works will be shown in the subsequent volumes of this SpringerBriefs in the Mathematics of Materials series by the individual authors.

The posterior section of the book presents how breakthroughs based on mathematicsmaterials science collaborations can emerge. The authors` argument is supported by the experiences at the Advanced Institute for Materials Research (AIMR), where many researchers from various fields gathered and tackled interdisciplinary research.

A Problem Book in Real Analysis

Springer New York

Seiten x,254

Erscheinungsjahr 2010

Einband: Hardcover

ISBN 9781441912954

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2010

Einband: Hardcover

ISBN 9781441912954

26.74 €

(inkl. 7% Mwst)

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Education is an admirable thing, but it is well to remember from time to time that nothing worth knowing can be taught. Oscar Wilde, The Critic as Artist, 1890. Analysis is a profound subject; it is neither easy to understand nor summarize. However, Real Analysis can be discovered by solving problems. This book aims to give independent students the opportunity to discover Real Analysis by themselves through problem solving. ThedepthandcomplexityofthetheoryofAnalysiscanbeappreciatedbytakingaglimpseatits developmental history. Although Analysis was conceived in the 17th century during the Scienti?c Revolution, it has taken nearly two hundred years to establish its theoretical basis. Kepler, Galileo, Descartes, Fermat, Newton and Leibniz were among those who contributed to its genesis. Deep conceptual changes in Analysis were brought about in the 19th century by Cauchy and Weierstrass. Furthermore, modern concepts such as open and closed sets were introduced in the 1900s. Today nearly every undergraduate mathematics program requires at least one semester of Real Analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of this book is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, we hope that learning analysis becomes less taxing and thereby more satisfying.

A Readable Introduction to Real Mathematics

Springer International Publishing

Seiten xii,161

Erscheinungsjahr 2014

Einband: Hardcover

ISBN 9783319056531

21.39 €

(inkl. 7% Mwst)

Erscheinungsjahr 2014

Einband: Hardcover

ISBN 9783319056531

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic high school algebra; some trigonometry is needed for Chapters 9 and 12. Topics covered include: mathematical induction - modular arithmetic - the fundamental theorem of arithmetic - Fermat`s little theorem - RSA encryption - the Euclidean algorithm -rational and irrational numbers - complex numbers - cardinality - Euclidean plane geometry - constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass). This textbook is suitable for a wide variety of courses and for a broad range of students in the fields of education, liberal arts, physical sciences and mathematics. Students at the senior high school level who like mathematics will also be able to further their understanding of mathematical thinking by reading this book.

A Readable Introduction to Real Mathematics

Springer International Publishing

Seiten xii,161

Erscheinungsjahr 2014

Einband: Softcover

ISBN 9783319379500

21.39 €

(inkl. 7% Mwst)
Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic high school algebra; some trigonometry is needed for Chapters 9 and 12. Topics covered include: mathematical induction - modular arithmetic - the fundamental theorem of arithmetic - Fermat`s little theorem - RSA encryption - the Euclidean algorithm -rational and irrational numbers - complex numbers - cardinality - Euclidean plane geometry - constructability (including a proof that an angle of 60 degrees cannot be trisected with a straightedge and compass). This textbook is suitable for a wide variety of courses and for a broad range of students in the fields of education, liberal arts, physical sciences and mathematics. Students at the senior high school level who like mathematics will also be able to further their understanding of mathematical thinking by reading this book.

Erscheinungsjahr 2014

Einband: Softcover

ISBN 9783319379500

21.39 €

(inkl. 7% Mwst)

Lieferstatus

A Short History of Mathematical Population Dynamics

Springer London

Seiten x,160

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9780857291141

16.04 €

(inkl. 7% Mwst)

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9780857291141

16.04 €

(inkl. 7% Mwst)

Lieferstatus

<p>As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers.</p>

<p>This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel`s laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine.</p>

<p>The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.</p>

A Taste of Topology

Springer New York

Seiten x,182

Erscheinungsjahr 2005

Einband: Softcover

ISBN 9780387257907

21.39 €

(inkl. 7% Mwst)
This should be a revelation for mathematics undergraduates. Having evolved from Rundes notes for an introductory topology course at the University of Alberta, this essential text provides a concise introduction to set-theoretic topology, as well as some algebraic topology. It is accessible to undergraduates from the second year on, and even beginning graduate students can benefit from some sections. The well-chosen selection of examples is accessible to students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In places, Rundes text treats its material differently to other books on the subject, providing a fresh perspective.

Erscheinungsjahr 2005

Einband: Softcover

ISBN 9780387257907

21.39 €

(inkl. 7% Mwst)

Lieferstatus

A Topological Aperitif

Springer London

Seiten ix,152

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9781848009127

16.04 €

(inkl. 7% Mwst)

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9781848009127

16.04 €

(inkl. 7% Mwst)

Lieferstatus

Topologyhasbeenreferredtoasrubber-sheetgeometry.Thenameisapt,for the subject is concerned with properties of an object that would be preserved, no matter how much it is stretched, squashed, or distorted, so long as it is not in any way torn apart or glued together. Ones ?rst reaction might be that such animprecise-soundingsubjectcouldhardlybepartofseriousmathematics,and wouldbeunlikelytohaveapplicationsbeyondtheamusementofsimpleparlour games. This reaction could hardly be further from the truth. Topology is one of the most important and broad-ranging disciplines of modern mathematics. It is a subject of great precision and of breadth of development. It has vastly many applications, some of great importance, ranging from particle physics to cosmology, and from hydrodynamics to algebra and number theory. It is also a subject of great beauty and depth. To appreciate something of this, it is not necessary to delve into the more obscure aspects of mathematical formalism. For topology is, at least initially, a very visual subject. Some of its concepts apply to spaces of large numbers of dimensions, and therefore do not easily submit to reasoning that depends upon direct pictorial representation. But even in such cases, important insights can be obtained from the visual - rusal of a simple geometrical con?guration. Although much modern topology depends upon ?nely tuned abstract algebraic machinery of great mathematical sophistication, the underlying ideas are often very simple and can be appre- ated by the examination of properties of elementary-looking drawings.

A Users Guide to Network Analysis in R

Springer International Publishing

Seiten xii,238

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319238821

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319238821

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Presenting a comprehensive resource for the mastery of network analysis in R, the goal of Network Analysis with R is to introduce modern network analysis techniques in R to social, physical, and health scientists. The mathematical foundations of network analysis are emphasized in an accessible way and readers are guided through the basic steps of network studies: network conceptualization, data collection and management, network description, visualization, and building and testing statistical models of networks. As with all of the books in the Use R! series, each chapter contains extensive R code and detailed visualizations of datasets. Appendices will describe the R network packages and the datasets used in the book. An R package developed specifically for the book, available to readers on GitHub, contains relevant code and real-world network datasets as well.

Abelian Groups

Springer International Publishing

Seiten xxi,747

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319194219

82.38 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319194219

82.38 €

(inkl. 7% Mwst)

Lieferstatus

Written by one of the subjects foremost experts, this book focuses on the central developments and modern methods of the advanced theory of abelian groups, while remaining accessible, as an introduction and reference, to the non-specialist. It provides a coherent source for results scattered throughout the research literature with lots of new proofs.

The presentation highlights major trends that have radically changed the modern character of the subject, in particular, the use of homological methods in the structure theory of various classes of abelian groups, and the use of advanced set-theoretical methods in the study of un decidability problems. The treatment of the latter trend includes Shelahs seminal work on the un decidability in ZFC of Whiteheads Problem; while the treatment of the former trend includes an extensive (but non-exhaustive) study of *p*-groups, torsion-free groups, mixed groups and important classes of groups arising from ring theory. To prepare the reader to tackle these topics, the book reviews the fundamentals of abelian group theory and provides some background material from category theory, set theory, topology and homological algebra.

An abundance of exercises are included to test the readers comprehension, and to explore noteworthy extensions and related sidelines of the main topics. A list of open problems and questions, in each chapter, invite the reader to take an active part in the subjects further development.

Abstract Algebra

Structure and Application

Springer International Publishing

Seiten ix,187

Erscheinungsjahr 2014

Einband: Mixed Media

ISBN 9783319044972

21.39 €

(inkl. 7% Mwst)

Erscheinungsjahr 2014

Einband: Mixed Media

ISBN 9783319044972

21.39 €

(inkl. 7% Mwst)

Lieferstatus

This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences.

Applications include:

- Identification numbers and modular arithmetic
- (linear) error-correcting codes, including cyclic codes
- ruler and compass constructions
- cryptography
- symmetry of patterns in the real plane

*Abstract Algebra: Structure and Application* is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.

Abstract Linear Algebra

Springer New York

Seiten x,168

Erscheinungsjahr 1990

Einband: Softcover

ISBN 9780387972633

26.74 €

(inkl. 7% Mwst)
Intended for a first course on the subject, this text begins from scratch and develops the standard topics of Linear Algebra. Its progresses simply towards its ultimate goal, the Theorem of Hurwitz, which argues that the only normed algebras over the real numbers are the real numbers, the complex numbers, the quaternions, and the octonions. The book stresses the complete logical development of the subject.

Erscheinungsjahr 1990

Einband: Softcover

ISBN 9780387972633

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Advanced Mathematical Methods for Scientists and Engineers I

Asymptotic Methods and Perturbation Theory

Springer New York

Seiten xiv,593

Erscheinungsjahr 1999

Einband: Hardcover

ISBN 9780387989310

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 1999

Einband: Hardcover

ISBN 9780387989310

37.44 €

(inkl. 7% Mwst)

Lieferstatus

A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

Advanced Mathematical Methods for Scientists and Engineers I

Asymptotic Methods and Perturbation Theory

Springer New York

Seiten xiv,593

Erscheinungsjahr 1999

Einband: Softcover

ISBN 9781441931870

37.44 €

(inkl. 7% Mwst)
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

Erscheinungsjahr 1999

Einband: Softcover

ISBN 9781441931870

37.44 €

(inkl. 7% Mwst)

Lieferstatus

Advanced Real Analysis

Birkhäuser Boston

Seiten xxiv,466

Erscheinungsjahr 2005

Einband: Hardcover

ISBN 9780817643829

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2005

Einband: Hardcover

ISBN 9780817643829

37.44 €

(inkl. 7% Mwst)

Lieferstatus

* Presents a comprehensive treatment with a global view of the subject

* Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician

Advanced Topics in the Arithmetic of Elliptic Curves

Springer New York

Seiten xiii,528

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9780387943282

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9780387943282

26.74 €

(inkl. 7% Mwst)

Lieferstatus

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that `the theory of elliptic curves is rich, varied, and amazingly vast,` and as a consequence, `many important topics had to be omitted.` I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate`s algorithm, and Ogg`s conductor-discriminant formula. V. Tate`s theory of q-curves over p-adic fields. VI. Neron`s theory of canonical local height functions.

Algebraic Function Fields and Codes

Springer Berlin Heidelberg

Seiten xiv,360

Erscheinungsjahr 2009

Einband: Hardcover

ISBN 9783540768777

26.74 €

(inkl. 7% Mwst)
This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil`s theorem as well as Goppa` s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission.

Erscheinungsjahr 2009

Einband: Hardcover

ISBN 9783540768777

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Algebraic Function Fields and Codes

Springer Berlin Heidelberg

Seiten xiv,360

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783642095566

26.74 €

(inkl. 7% Mwst)
This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil`s theorem as well as Goppa` s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission.

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783642095566

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Algebraic Geometry and Commutative Algebra

Springer London

Seiten x,504

Erscheinungsjahr 2013

Einband: Softcover

ISBN 9781447148289

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2013

Einband: Softcover

ISBN 9781447148289

37.44 €

(inkl. 7% Mwst)

Lieferstatus

Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendiecks schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly seemed to be far away from geometry, like algebraic number theory. The new techniques paved the way to spectacular progress such as the proof of Fermats Last Theorem by Wiles and Taylor.

The scheme-theoretic approach to algebraic geometry is explained for non-experts. More advanced readers can use the book to broaden their view on the subject. A separate part deals with the necessary prerequisites from commutative algebra. On a whole, the book provides a very accessible and self-contained introduction to algebraic geometry, up to a quite advanced level.

Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. Typical examples and an abundance of exercises illustrate each section. This way the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. It can equally be used as a convenient source for courses and seminars or as supplemental literature.

Algebraic Geometry I

Complex Projective Varieties

Springer Berlin Heidelberg

Seiten x,186

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9783540586579

26.74 €

(inkl. 7% Mwst)
From the reviews: `Although several textbooks on modern algebraic geometry have been published in the meantime, Mumford`s `Volume I` is, together with its predecessor the red book of varieties and schemes, now as before one of the most excellent and profound primers of modern algebraic geometry. Both books are just true classics!` Zentralblatt

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9783540586579

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Algebraic K-Theory

Birkhäuser Boston

Seiten xvii,341

Erscheinungsjahr 1996

Einband: Softcover

ISBN 9780817647360

21.39 €

(inkl. 7% Mwst)
Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and students in mathematics. This book is based on lectures given by the author at the Tata Institute in Bombay and elsewhere. This new edition includes an appendix on algebraic geometry that contains required definitions and results needed to understand the core of the book.

Erscheinungsjahr 1996

Einband: Softcover

ISBN 9780817647360

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Algebraic Number Theory

Springer International Publishing

Seiten xiii,292

Erscheinungsjahr 2014

Einband: Softcover

ISBN 9783319075440

18.18 €

(inkl. 7% Mwst)

Erscheinungsjahr 2014

Einband: Softcover

ISBN 9783319075440

18.18 €

(inkl. 7% Mwst)

Lieferstatus

The technical difficulties of algebraic number theory often make this subject appear difficult to beginners. This undergraduate textbook provides a welcome solution to these problems as it provides an approachable and thorough introduction to the topic.

*Algebraic Number Theory* takes the reader from unique factorisation in the integers through to the modern-day number field sieve. The first few chapters consider the importance of arithmetic in fields larger than the rational numbers. Whilst some results generalise well, the unique factorisation of the integers in these more general number fields often fail. Algebraic number theory aims to overcome this problem. Most examples are taken from quadratic fields, for which calculations are easy to perform.

The middle section considers more general theory and results for number fields, and the book concludes with some topics which are more likely to be suitable for advanced students, namely, the analytic class number formula and the number field sieve. This is the first time that the number field sieve has been considered in a textbook at this level.

Algebraic Topology

A First Course

Springer New York

Seiten xviii,430

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9780387943275

21.39 €

(inkl. 7% Mwst)

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9780387943275

21.39 €

(inkl. 7% Mwst)

Lieferstatus

To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ ential topology, etc.), we concentrate our attention on concrete prob lems in low dimensions, introducing only as much algebraic machin ery as necessary for the problems we meet. This makes it possible to see a wider variety of important features of the subject than is usual in a beginning text. The book is designed for students of mathematics or science who are not aiming to become practicing algebraic topol ogists-without, we hope, discouraging budding topologists. We also feel that this approach is in better harmony with the historical devel opment of the subject. What would we like a student to know after a first course in to pology (assuming we reject the answer: half of what one would like the student to know after a second course in topology)? Our answers to this have guided the choice of material, which includes: under standing the relation between homology and integration, first on plane domains, later on Riemann surfaces and in higher dimensions; wind ing numbers and degrees of mappings, fixed-point theorems; appli cations such as the Jordan curve theorem, invariance of domain; in dices of vector fields and Euler characteristics; fundamental groups

Algebraic Topology Homotopy and Homology

Springer Berlin Heidelberg

Seiten xiii,526

Erscheinungsjahr 2002

Einband: Softcover

ISBN 9783540427506

26.74 €

(inkl. 7% Mwst)
From the reviews: `The author has attempted an ambitious and most commendable project. [ ] The book contains much material that has not previously appeared in this format. The writing is clean and clear and the exposition is well motivated. [...] This book is, all in all, a very admirable work and a valuable addition to the literature.` Mathematical Reviews

Erscheinungsjahr 2002

Einband: Softcover

ISBN 9783540427506

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Algèbre

Chapitre 4 à 7

Springer Berlin Heidelberg

Seiten viii,422

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9783540343981

26.74 €

(inkl. 7% Mwst)
Ce deuxième volume du Livre dAlgèbre, deuxième Livre des Éléments de mathématique, traite notamment des extensions de corps et de la théorie de Galois. Il comprend les chapitres : 4. Polynômes et fractions rationnelles ; 5. Corps commutatifs ; 6. Groupes et corps ordonnés ; 7. Modules sur les anneaux principaux.

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9783540343981

26.74 €

(inkl. 7% Mwst)

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Algèbre

Chapitres 1 à 3

Springer Berlin Heidelberg

Seiten xiii,636

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9783540338499

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9783540338499

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements.

Ce premier volume du Livre dAlgèbre, deuxième Livre des Éléments de mathématique, comprend les chapitres : Structures algébriques.- Algèbre linéaire.- Algèbres tensorielles, algèbres, extérieures, algèbres symétriques

Algèbre

Chapitre 8

Springer Berlin Heidelberg

Seiten x,489

Erscheinungsjahr 2012

Einband: Softcover

ISBN 9783540353157

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2012

Einband: Softcover

ISBN 9783540353157

26.74 €

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Lieferstatus

Ce huitième chapitre du Livre d`Algèbre, deuxième Livre des Éléments de mathématique, est consacré à l`étude de certaines classes d`anneaux et des modules sur ces anneaux.

Il couvre les notions de module et d`anneau noethérien et artinien, ainsi que celle de radical. Ce chapitre décrit également la structure des anneaux semi-simples. Nous y donnons aussi la définition de divers groupes de Grothendieck qui jouent un rôle universel pour les invariants de modules et plusieurs descriptions du groupe de Brauer qui intervient dans la classification des anneaux simples.

Une note historique en fin de volume, reprise de l`édition précédente, retrace l`émergence d`une grande partie des notions développées.

Ce volume est une deuxième édition entièrement refondue de l`édition de 1958.

Algèbre Locale, Multiplicités

Cours au Collège de France, 1957 - 1958

Springer Berlin Heidelberg

Seiten x,160

Erscheinungsjahr 1975

Einband: Softcover

ISBN 9783540070283

18.18 €

(inkl. 7% Mwst)

Erscheinungsjahr 1975

Einband: Softcover

ISBN 9783540070283

18.18 €

(inkl. 7% Mwst)

Lieferstatus

Chapitre I. 1DIAUX PIlEMIEIS IT LOCALISATION I I. Wotationa et definitions I 2. Lemme de Bakay. . . . 2 3. Localisation 4. Anneaux et 80dules noethiriens 2 5. Spectre 3 4 6. Le cas noetherien. 4 7. Ideaux pre. iers associe. Chapitre 11. OUTILS IT SOUTES A) Filtr·ations et graduations. 8 I. Anneaux et modules filtres 8 2. Topologie definie par UDe filtration 9 10 3. Coapletion des modules filtres II 4. Anneaux et modules graduis 5. au tout redevient noethirien; filtrations ~-adiques. 15 20 6. Modules differentiels filtres B) Polynoaes de Hilbert-SamueL 26 I. Rappel sur les polynOmes Ii valeurs entieres 26 27 2. Fonctions additives sur les categories de modules. 29 3. Le polynOme caractiristique de Hilbert 32 4. Les invariants de Hilbert-Samuel Chapitre 111. T1I£ORlE DE LA DDlE!ISION A) Dimension des extensions. entieres. 38 I. Definitions. 38 2. Le premier theore- de Cohen-Seidenberg. 39 3. Le second theoreme de Cohen-Seidenberg 4I B) Dimension dans les anneaux noetheriens. 43 I. Dimension d`un module. 43 2. Le cas semi-local noetherien 44 3. Syste. es de parametres 47 C) Anneaux normaux 48 I. caracterisation des anneaux normaux. 48 2. Proprietes des anneaux noraaux 51 3. Fermeture integrale. 53 D) Anneaux de polynomes. 54 I.

Algorithmic Composition

Paradigms of Automated Music Generation

Springer Vienna

Seiten x,287

Erscheinungsjahr 2009

Einband: Hardcover

ISBN 9783211755396

28.88 €

(inkl. 7% Mwst)
Algorithmic composition composing by means of formalizable methods has a century old tradition not only in occidental music history. This is the first book to provide a detailed overview of prominent procedures of algorithmic composition in a pragmatic way rather than by treating formalizable aspects in single works. In addition to an historic overview, each chapter presents a specific class of algorithm in a compositional context by providing a general introduction to its development and theoretical basis and describes different musical applications. Each chapter outlines the strengths, weaknesses and possible aesthetical implications resulting from the application of the treated approaches. Topics covered are: markov models, generative grammars, transition networks, chaos and self-similarity, genetic algorithms, cellular automata, neural networks and artificial intelligence are covered. The comprehensive bibliography makes this work ideal for the musician and the researcher alike.

Erscheinungsjahr 2009

Einband: Hardcover

ISBN 9783211755396

28.88 €

(inkl. 7% Mwst)

Lieferstatus

Algorithmic Composition

Paradigms of Automated Music Generation

Springer Vienna

Seiten x,287

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783211999158

28.88 €

(inkl. 7% Mwst)
Algorithmic composition composing by means of formalizable methods has a century old tradition not only in occidental music history. This is the first book to provide a detailed overview of prominent procedures of algorithmic composition in a pragmatic way rather than by treating formalizable aspects in single works. In addition to an historic overview, each chapter presents a specific class of algorithm in a compositional context by providing a general introduction to its development and theoretical basis and describes different musical applications. Each chapter outlines the strengths, weaknesses and possible aesthetical implications resulting from the application of the treated approaches. Topics covered are: markov models, generative grammars, transition networks, chaos and self-similarity, genetic algorithms, cellular automata, neural networks and artificial intelligence are covered. The comprehensive bibliography makes this work ideal for the musician and the researcher alike.

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783211999158

28.88 €

(inkl. 7% Mwst)

Lieferstatus

Algorithms and Programming

Problems and Solutions

Springer New York

Seiten xii,272

Erscheinungsjahr 2010

Einband: Hardcover

ISBN 9781441917478

26.74 €

(inkl. 7% Mwst)
This text is structured in a problem-solution format that requires the student to think through the programming process. New to the second edition are additional chapters on suffix trees, games and strategies, and Huffman coding as well as an Appendix illustrating the ease of conversion from Pascal to C.

Erscheinungsjahr 2010

Einband: Hardcover

ISBN 9781441917478

26.74 €

(inkl. 7% Mwst)

Lieferstatus

An Advanced Complex Analysis Problem Book

Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions

Springer International Publishing

Seiten ix,521

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319160580

37.44 €

(inkl. 7% Mwst)
This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319160580

37.44 €

(inkl. 7% Mwst)

Lieferstatus

An Introduction to Catalan Numbers

Springer International Publishing

Seiten xii,121

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319221434

21.39 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319221434

21.39 €

(inkl. 7% Mwst)

Lieferstatus

This textbook provides an introduction to the Catalan numbers and their remarkable properties, along with their various applications in combinatorics. Intended to be accessible to students new to the subject, the book begins with more elementary topics before progressing to more mathematically sophisticated topics. Each chapter focuses on a specific combinatorial object counted by these numbers, including paths, trees, tilings of a staircase, null sums in Z_{n+1}, interval structures, partitions, permutations, semiorders, and more. Exercises are included at the end of book, along with hints and solutions, to help students obtain a better grasp of the material. The text is ideal for undergraduate students studying combinatorics, but will also appeal to anyone with a mathematical background who has an interest in learning about the Catalan numbers.

Roman does an admirable job of providing an introduction to Catalan numbers of a different nature from the previous ones. He has made an excellent choice of topics in order to convey the flavor of Catalan combinatorics. [Readers] will acquire a good feeling for why so many mathematicians are enthralled by the remarkable ubiquity and elegance of Catalan numbers.

- From the foreword by Richard Stanley

An Introduction to Complex Analysis

Springer US

Seiten xiv,331

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9781489997166

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9781489997166

32.09 €

(inkl. 7% Mwst)

Lieferstatus

This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures, uses detailed examples to drive the presentation, includes numerous exercise sets that encourage pursuing extensions of the material, each with an Answers or Hints section, covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics, provides a concise history of complex numbers. An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus.

An Introduction to Complex Analysis

Springer US

Seiten xiv,331

Erscheinungsjahr 2011

Einband: Hardcover

ISBN 9781461401940

32.09 €

(inkl. 7% Mwst)
This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures, uses detailed examples to drive the presentation, includes numerous exercise sets that encourage pursuing extensions of the material, each with an Answers or Hints section, covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics, provides a concise history of complex numbers. An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus.

Erscheinungsjahr 2011

Einband: Hardcover

ISBN 9781461401940

32.09 €

(inkl. 7% Mwst)

Lieferstatus

An Introduction to Continuous-Time Stochastic Processes

Theory, Models, and Applications to Finance, Biology, and Medicine

Springer New York

Seiten xvi,482

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781493927562

58.84 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781493927562

58.84 €

(inkl. 7% Mwst)

Lieferstatus

This textbook, now in its third edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics include: Markov processes Stochastic differential equations Arbitrage-free markets and financial derivatives Insurance risk Population dynamics, and epidemics Agent-based models New to the Third Edition: Infinitely divisible distributions Random measures Levy processes Fractional Brownian motion Ergodic theory Karhunen-Loeve expansion Additional applications Additional exercises Smoluchowski approximation of Langevin systems An Introduction to Continuous-Time Stochastic Processes, Third Edition will be of interest to a broad audience of students, pure and applied mathematicians, and researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or undergraduate courses, as well as European Masters courses (according to the two-year-long second cycle of the Bologna Scheme), the work may also be used for self-study or as a reference. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided. From reviews of previous editions: `The book is ... an account of fundamental concepts as they appear in relevant modern applications and literature. ... The book addresses three main groups: first, mathematicians working in a different field; second, other scientists and professionals from a business or academic background; third, graduate or advanced undergraduate students of a quantitative subject related to stochastic theory and/or applications.` -Zentralblatt MATH

An Introduction to Continuous-Time Stochastic Processes

Theory, Models, and Applications to Finance, Biology, and Medicine

Springer New York

Seiten xvi,482

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9781493938360

58.84 €

(inkl. 7% Mwst)
This textbook, now in its third edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics include: Markov processes Stochastic differential equations Arbitrage-free markets and financial derivatives Insurance risk Population dynamics, and epidemics Agent-based models New to the Third Edition: Infinitely divisible distributions Random measures Levy processes Fractional Brownian motion Ergodic theory Karhunen-Loeve expansion Additional applications Additional exercises Smoluchowski approximation of Langevin systems An Introduction to Continuous-Time Stochastic Processes, Third Edition will be of interest to a broad audience of students, pure and applied mathematicians, and researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or undergraduate courses, as well as European Masters courses (according to the two-year-long second cycle of the Bologna Scheme), the work may also be used for self-study or as a reference. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided. From reviews of previous editions: `The book is ... an account of fundamental concepts as they appear in relevant modern applications and literature. ... The book addresses three main groups: first, mathematicians working in a different field; second, other scientists and professionals from a business or academic background; third, graduate or advanced undergraduate students of a quantitative subject related to stochastic theory and/or applications.` -Zentralblatt MATH

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9781493938360

58.84 €

(inkl. 7% Mwst)

Lieferstatus

An Introduction to Differential Manifolds

Springer International Publishing

Seiten xix,395

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319207346

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319207346

32.09 €

(inkl. 7% Mwst)

Lieferstatus

This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology, degree theory and the Gauss-Bonnet theorem for surfaces.

Its ambition is to give solid foundations. In particular, the introduction of abstract notions such as manifolds or differential forms is motivated via questions and examples from mathematics or theoretical physics. More than 150 exercises, some of them easy and classical, some others more sophisticated, will help the beginner as well as the more expert reader. Solutions are provided for most of them.

The book should be of interest to various readers: undergraduate and graduate students for a first contact to differential manifolds, mathematicians from other fields and physicists who wish to acquire some feeling about this beautiful theory.

The original French text Introduction aux variétés différentielles has been a best-seller in its category in France for many years.

Jacques Lafontaine was successively assistant Professor at Paris Diderot University and Professor at the University of Montpellier, where he is presently emeritus. His main research interests are Riemannian and pseudo-Riemannian geometry, including some aspects of mathematical relativity. Besides his personal research articles, he was involved in several textbooks and research monographs.

An Introduction to Dynamical Systems and Chaos

Springer India

Seiten xviii,622

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9788132225553

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9788132225553

37.44 €

(inkl. 7% Mwst)

Lieferstatus

The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 18 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 913 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonian flows and symmetries of nonlinear systems are among the main focuses of this book.

Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering.

An Introduction to Laplace Transforms and Fourier Series

Springer London

Seiten xv,318

Erscheinungsjahr 2014

Einband: Softcover

ISBN 9781447163947

18.18 €

(inkl. 7% Mwst)

Erscheinungsjahr 2014

Einband: Softcover

ISBN 9781447163947

18.18 €

(inkl. 7% Mwst)

Lieferstatus

Laplace transforms continue to be a very important tool for the engineer, physicist and applied mathematician. They are also now useful to financial, economic and biological modellers as these disciplines become more quantitative. Any problem that has underlying linearity and with solution based on initial values can be expressed as an appropriate differential equation and hence be solved using Laplace transforms.

In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets.

Only knowledge of elementary trigonometry and calculus are required as prerequisites. *An Introduction to Laplace Transforms and Fourier Series* will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.

An Introduction to Manifolds

Springer New York

Seiten xviii,410

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9781441973993

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9781441973993

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory.
In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems.
This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, `Introduction to Manifolds` is also an excellent foundation for Springer`s GTM 82, `Differential Forms in Algebraic Topology`.

An Introduction to Mathematical Epidemiology

Springer US

Seiten xiv,453

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781489976116

32.09 €

(inkl. 7% Mwst)
The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of infectious diseases. It includes model building, fitting to data, local and global analysis techniques. Various types of deterministic dynamical models are considered: ordinary differential equation models, delay-differential equation models, difference equation models, age-structured PDE models and diffusion models. It includes various techniques for the computation of the basic reproduction number as well as approaches to the epidemiological interpretation of the reproduction number. MATLAB code is included to facilitate the data fitting and the simulation with age-structured models.

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781489976116

32.09 €

(inkl. 7% Mwst)

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An Introduction to Partial Differential Equations

Springer New York

Seiten xiv,434

Erscheinungsjahr 2004

Einband: Hardcover

ISBN 9780387004440

37.44 €

(inkl. 7% Mwst)
Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

Erscheinungsjahr 2004

Einband: Hardcover

ISBN 9780387004440

37.44 €

(inkl. 7% Mwst)

Lieferstatus

An Introduction to Partial Differential Equations

Springer New York

Seiten xiv,434

Erscheinungsjahr 2004

Einband: Softcover

ISBN 9781441918208

37.44 €

(inkl. 7% Mwst)
Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

Erscheinungsjahr 2004

Einband: Softcover

ISBN 9781441918208

37.44 €

(inkl. 7% Mwst)

Lieferstatus

An Introduction to Tensors and Group Theory for Physicists

Springer International Publishing

Seiten xvi,305

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319330891

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319330891

26.74 €

(inkl. 7% Mwst)

Lieferstatus

The second edition of this highly praised textbook provides an introduction to tensors, group theory, and their applications in classical and quantum physics. Both intuitive and rigorous, it aims to demystify tensors by giving the slightly more abstract but conceptually much clearer definition found in the math literature, and then connects this formulation to the component formalism of physics calculations. New pedagogical features, such as new illustrations, tables, and boxed sections, as well as additional invitation sections that provide accessible introductions to new material, offer increased visual engagement, clarity, and motivation for students.

Part I begins with linear algebraic foundations, follows with the modern component-free definition of tensors, and concludes with applications to physics through the use of tensor products. Part II introduces group theory, including abstract groups and Lie groups and their associated Lie algebras, then intertwines this material with that of Part I by introducing representation theory. Examples and exercises are provided in each chapter for good practice in applying the presented material and techniques.

Prerequisites for this text include the standard lower-division mathematics and physics courses, though extensive references are provided for the motivated student who has not yet had these. Advanced undergraduate and beginning graduate students in physics and applied mathematics will find this textbook to be a clear, concise, and engaging introduction to tensors and groups.

**Reviews of the First Edition**

[P]hysicist Nadir Jeevanjee has produced a masterly book that will help other physicists understand those subjects [tensors and groups] as mathematicians understand them From the first pages, Jeevanjee shows amazing skill in finding fresh, compelling words to bring forward the insight that animates the modern mathematical view [W]ith compelling force and clarity, he provides many carefully worked-out examples and well-chosen specific problems Jeevanjees clear and forceful writing presents familiar cases with a freshness that will draw in and reassure even a fearful student. [This] is a masterpiece of exposition and explanation that would win credit for even a seasoned author.

Physics Today

`Jeevanjees [text]* *is a valuable piece of work on several counts, including its express pedagogical service rendered to fledgling physicists and the fact that it does indeed give pure mathematicians a way to come to terms with what physicists are saying with the same words we use, but with an ostensibly different meaning. The book is very easy to read, very user-friendly, full of examples...and exercises, and will do the job the author wants it to do with style.

MAA Reviews

An Introduction to Tensors and Group Theory for Physicists

Springer International Publishing

Seiten xvi,305

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319147932

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319147932

26.74 €

(inkl. 7% Mwst)

Lieferstatus

The second edition of this highly praised textbook provides an introduction to tensors, group theory, and their applications in classical and quantum physics. Both intuitive and rigorous, it aims to demystify tensors by giving the slightly more abstract but conceptually much clearer definition found in the math literature, and then connects this formulation to the component formalism of physics calculations. New pedagogical features, such as new illustrations, tables, and boxed sections, as well as additional invitation sections that provide accessible introductions to new material, offer increased visual engagement, clarity, and motivation for students.

Part I begins with linear algebraic foundations, follows with the modern component-free definition of tensors, and concludes with applications to physics through the use of tensor products. Part II introduces group theory, including abstract groups and Lie groups and their associated Lie algebras, then intertwines this material with that of Part I by introducing representation theory. Examples and exercises are provided in each chapter for good practice in applying the presented material and techniques.

Prerequisites for this text include the standard lower-division mathematics and physics courses, though extensive references are provided for the motivated student who has not yet had these. Advanced undergraduate and beginning graduate students in physics and applied mathematics will find this textbook to be a clear, concise, and engaging introduction to tensors and groups.

**Reviews of the First Edition**

[P]hysicist Nadir Jeevanjee has produced a masterly book that will help other physicists understand those subjects [tensors and groups] as mathematicians understand them From the first pages, Jeevanjee shows amazing skill in finding fresh, compelling words to bring forward the insight that animates the modern mathematical view [W]ith compelling force and clarity, he provides many carefully worked-out examples and well-chosen specific problems Jeevanjees clear and forceful writing presents familiar cases with a freshness that will draw in and reassure even a fearful student. [This] is a masterpiece of exposition and explanation that would win credit for even a seasoned author.

Physics Today

`Jeevanjees [text]* *is a valuable piece of work on several counts, including its express pedagogical service rendered to fledgling physicists and the fact that it does indeed give pure mathematicians a way to come to terms with what physicists are saying with the same words we use, but with an ostensibly different meaning. The book is very easy to read, very user-friendly, full of examples...and exercises, and will do the job the author wants it to do with style.

MAA Reviews

An Introduction to the Theory of Point Processes

Volume II: General Theory and Structure

Springer New York

Seiten xvii,573

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780387213378

93.08 €

(inkl. 7% Mwst)
This is the second volume of the reworked second edition of a key work on Point Process Theory. Fully revised and updated by the authors who have reworked their 1988 first edition, it brings together the basic theory of random measures and point processes in a unified setting and continues with the more theoretical topics of the first edition: limit theorems, ergodic theory, Palm theory, and evolutionary behaviour via martingales and conditional intensity. The very substantial new material in this second volume includes expanded discussions of marked point processes, convergence to equilibrium, and the structure of spatial point processes.

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780387213378

93.08 €

(inkl. 7% Mwst)

Lieferstatus

An Introduction to the Theory of Point Processes

Volume II: General Theory and Structure

Springer New York

Seiten xvii,573

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9781489985385

93.08 €

(inkl. 7% Mwst)
This is the second volume of the reworked second edition of a key work on Point Process Theory. Fully revised and updated by the authors who have reworked their 1988 first edition, it brings together the basic theory of random measures and point processes in a unified setting and continues with the more theoretical topics of the first edition: limit theorems, ergodic theory, Palm theory, and evolutionary behaviour via martingales and conditional intensity. The very substantial new material in this second volume includes expanded discussions of marked point processes, convergence to equilibrium, and the structure of spatial point processes.

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9781489985385

93.08 €

(inkl. 7% Mwst)

Lieferstatus

An Invitation to Abstract Mathematics

Springer New York

Seiten xiv,406

Erscheinungsjahr 2013

Einband: Softcover

ISBN 9781489995605

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2013

Einband: Softcover

ISBN 9781489995605

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This undergraduate textbook is intended primarily for a transition course into higher mathematics, although it is written with a broader audience in mind. The heart and soul of this book is problem solving, where each problem is carefully chosen to clarify a concept, demonstrate a technique, or to enthuse. The exercises require relatively extensive arguments, creative approaches, or both, thus providing motivation for the reader. With a unified approach to a diverse collection of topics, this text points out connections, similarities, and differences among subjects whenever possible. This book shows students that mathematics is a vibrant and dynamic human enterprise by including historical perspectives and notes on the giants of mathematics, by mentioning current activity in the mathematical community, and by discussing many famous and less well-known questions that remain open for future mathematicians.

Ideally, this text should be used for a two semester course, where the first course has no prerequisites and the second is a more challenging course for math majors; yet, the flexible structure of the book allows it to be used in a variety of settings, including as a source of various independent-study and research projects.

An Invitation to Algebraic Geometry

Springer New York

Seiten xvi,164

Erscheinungsjahr 2000

Einband: Hardcover

ISBN 9780387989808

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2000

Einband: Hardcover

ISBN 9780387989808

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.

An Invitation to Algebraic Geometry

Springer New York

Seiten xvi,164

Erscheinungsjahr 2000

Einband: Softcover

ISBN 9781441931955

26.74 €

(inkl. 7% Mwst)
This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.

Erscheinungsjahr 2000

Einband: Softcover

ISBN 9781441931955

26.74 €

(inkl. 7% Mwst)

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An Invitation to General Algebra and Universal Constructions

Springer International Publishing

Seiten x,572

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319114774

37.44 €

(inkl. 7% Mwst)
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader`s grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319114774

37.44 €

(inkl. 7% Mwst)

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Analysis I

Convergence, Elementary functions

Springer Berlin Heidelberg

Seiten xxi,430

Erscheinungsjahr 2004

Einband: Softcover

ISBN 9783540059233

26.74 €

(inkl. 7% Mwst)
Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English.

Erscheinungsjahr 2004

Einband: Softcover

ISBN 9783540059233

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Analysis II

Differential and Integral Calculus, Fourier Series, Holomorphic Functions

Springer Berlin Heidelberg

Seiten vii,448

Erscheinungsjahr 2005

Einband: Softcover

ISBN 9783540209218

26.74 €

(inkl. 7% Mwst)
Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English.

Erscheinungsjahr 2005

Einband: Softcover

ISBN 9783540209218

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Analysis III

Analytic and Differential Functions, Manifolds and Riemann Surfaces

Springer International Publishing

Seiten vii,321

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319160528

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319160528

32.09 €

(inkl. 7% Mwst)

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Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. Cauchy-type curvilinear integrals are then shown to generalize to any number of real variables (differential forms, Stokes-type formulas). The fundamentals of the theory of manifolds are then presented, mainly to provide the reader with a `canonical`` language and with some important theorems (change of variables in integration, differential equations). A final chapter shows how these theorems can be used to construct the compact Riemann surface of an algebraic function, a subject that is rarely addressed in the general literature though it only requires elementary techniques.

Besides the Lebesgue integral, Volume IV will set out a piece of specialized mathematics towards which the entire content of the previous volumes will converge: Jacobi, Riemann, Dedekind series and infinite products, elliptic functions, classical theory of modular functions and its modern version using the structure of the Lie algebra of SL(2,R).

Analysis IV

Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights

Springer International Publishing

Seiten xi,527

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319169064

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319169064

32.09 €

(inkl. 7% Mwst)

Lieferstatus

Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact style used nowadays in many textbooks. The first part (Integration), a wise combination of mathematics said to be `modern` and `classical`, is universally useful whereas the second part leads the reader towards a very active and specialized field of research, with possibly broad generalizations.

Analytic Number Theory

In Honor of Helmut Maiers 60th Birthday

Springer International Publishing

Seiten viii,379

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319222394

58.84 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319222394

58.84 €

(inkl. 7% Mwst)

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This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and trigonometric sums and their behavior in short intervals, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted prime numbers, oscillation theorems for primes in arithmetic progressions, inequalities related to the distribution of primes in short intervals, the Möbius function, Eulers totient function, the Riemann zeta function and the Riemann Hypothesis. Graduate students, research mathematicians, as well as computer scientists and engineers who are interested in pure and interdisciplinary research, will find this volume a useful resource.

*Contributors to this volume:*

Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de la Bretèche, Christian Elsholtz, John B. Friedlander, Kevin Ford, Daniel A. Goldston, Steven M. Gonek, Andrew Granville, Adam J. Harper, Glyn Harman, D. R. Heath-Brown, Aleksandar Ivi?, Geoffrey Iyer, Jerzy Kaczorowski, Daniel M. Kane, Sergei Konyagin, Dimitris Koukoulopoulos, Michel L. Lapidus, Oleg Lazarev, Andrew H. Ledoan, Robert J. Lemke Oliver, Florian Luca, James Maynard, Steven J. Miller, Hugh L. Montgomery, Melvyn B. Nathanson, Ashkan Nikeghbali, Alberto Perelli, Amalia Pizarro-Madariaga, János Pintz, Paul Pollack, Carl Pomerance, Michael Th. Rassias, Maksym Radziwi??, Joël Rivat, András Sárközy, Jeffrey Shallit, Terence Tao, Gérald Tenenbaum, László Tóth, Tamar Ziegler, Liyang Zhang.

Applications of Lie Groups to Differential Equations

Springer New York

Seiten xxviii,513

Erscheinungsjahr 1993

Einband: Softcover

ISBN 9780387950006

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 1993

Einband: Softcover

ISBN 9780387950006

26.74 €

(inkl. 7% Mwst)

Lieferstatus

A solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented such that graduates and researchers can readily learn to use them. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasising explicit examples and computations. Further examples, as well as new theoretical developments, appear in the exercises at the end of each chapter.

Applied Number Theory

Springer International Publishing

Seiten x,442

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319223209

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319223209

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This textbook effectively builds a bridge from basic number theory to recent advances in applied number theory. It presents the first unified account of the four major areas of application where number theory plays a fundamental role, namely cryptography, coding theory, quasi-Monte Carlo methods, and pseudorandom number generation, allowing the authors to delineate the manifold links and interrelations between these areas.

Number theory, which Carl-Friedrich Gauss famously dubbed the queen of mathematics, has always been considered a very beautiful field of mathematics, producing lovely results and elegant proofs. While only very few real-life applications were known in the past, today number theory can be found in everyday life: in supermarket bar code scanners, in our cars GPS systems, in online banking, etc.

Starting with a brief introductory course on number theory in Chapter 1, which makes the book more accessible for undergraduates, the authors describe the four main application areas in Chapters 2-5 and offer a glimpse of advanced results that are presented without proofs and require more advanced mathematical skills. In the last chapter they review several further applications of number theory, ranging from check-digit systems to quantum computation and the organization of raster-graphics memory.

Upper-level undergraduates, graduates and researchers in the field of number theory will find this book to be a valuable resource.

Applied Stochastic Control of Jump Diffusions

Springer Berlin Heidelberg

Seiten xiv,262

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9783540698258

21.39 €

(inkl. 7% Mwst)
Here is a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and its applications. Discussion includes the dynamic programming method and the maximum principle method, and their relationship. The text emphasises real-world applications, primarily in finance. Results are illustrated by examples, with end-of-chapter exercises including complete solutions. The 2nd edition adds a chapter on optimal control of stochastic partial differential equations driven by Lévy processes, and a new section on optimal stopping with delayed information. Basic knowledge of stochastic analysis, measure theory and partial differential equations is assumed.

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9783540698258

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Architecture and Mathematics from Antiquity to the Future

Volume II: The 1500s to the Future

Springer International Publishing

Seiten xix,690

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319343112

64.19 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319343112

64.19 €

(inkl. 7% Mwst)

Lieferstatus

Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals.

Volume II covers architecture from the Late Renaissance era, through Baroque, Ottoman, Enlightenment, Modern and contemporary styles and approaches. Key figures covered in this volume include Palladio, Michelangelo, Borromini, Sinan, Wren, Wright, Le Corbusier, Breuer, Niemeyer and Kahn. Mathematical themes which are considered include linear algebra, tiling and fractals and the geographic span of the volumes content includes works in the United States of America and Australia, in addition to those in Europe and Asia.

Architecture and Mathematics from Antiquity to the Future

Volume I: Antiquity to the 1500s

Springer International Publishing

Seiten xix,735

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319374864

64.19 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319374864

64.19 €

(inkl. 7% Mwst)

Lieferstatus

Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals.

Volume I covers architecture from antiquity through Egyptian, Mayan, Greek, Roman, Medieval, Inkan, Gothic and early Renaissance eras and styles. The themes that are covered range from symbolism and proportion to measurement and structural stability. From Europe to Africa, Asia and South America, the chapters span different countries, cultures and practices.
Architecture and Mathematics from Antiquity to the Future

Volume I: Antiquity to the 1500s

Springer International Publishing

Seiten xix,735

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319001364

64.19 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319001364

64.19 €

(inkl. 7% Mwst)

Lieferstatus

Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals.

Volume I covers architecture from antiquity through Egyptian, Mayan, Greek, Roman, Medieval, Inkan, Gothic and early Renaissance eras and styles. The themes that are covered range from symbolism and proportion to measurement and structural stability. From Europe to Africa, Asia and South America, the chapters span different countries, cultures and practices.
Architecture and Mathematics from Antiquity to the Future

Volume II: The 1500s to the Future

Springer International Publishing

Seiten xix,690

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319001425

64.19 €

(inkl. 7% Mwst)
Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals.

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319001425

64.19 €

(inkl. 7% Mwst)

Lieferstatus

Volume II covers architecture from the Late Renaissance era, through Baroque, Ottoman, Enlightenment, Modern and contemporary styles and approaches. Key figures covered in this volume include Palladio, Michelangelo, Borromini, Sinan, Wren, Wright, Le Corbusier, Breuer, Niemeyer and Kahn. Mathematical themes which are considered include linear algebra, tiling and fractals and the geographic span of the volumes content includes works in the United States of America and Australia, in addition to those in Europe and Asia.

Asymptotic Integration of Differential and Difference Equations

Springer International Publishing

Seiten xi,402

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319182476

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319182476

37.44 €

(inkl. 7% Mwst)

Lieferstatus

This book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to asymptotic results for much wider classes of differential and also difference equations.

After discussing asymptotic integration in a unified approach, this book studies how the application of these methods provides several new insights and frequent improvements to results found in earlier literature. It then continues with a brief introduction to the relatively new field of asymptotic integration for dynamic equations on time scales.

*Asymptotic Integration of Differential and Difference Equations* is a self-contained and clearly structured presentation of some of the most important results in asymptotic integration and the techniques used in this field. It will appeal to researchers in asymptotic integration as well to non-experts who are interested in the asymptotic analysis of linear differential and difference equations. It will additionally be of interest to students in mathematics, applied sciences, and engineering. Linear algebra and some basic concepts from advanced calculus are prerequisites.

Bases, outils et principes pour l`analyse variationnelle

Springer Berlin Heidelberg

Seiten xiii,171

Erscheinungsjahr 2013

Einband: Softcover

ISBN 9783642307348

21.39 €

(inkl. 7% Mwst)

Erscheinungsjahr 2013

Einband: Softcover

ISBN 9783642307348

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Létude mathématique des problèmes doptimisation, ou de ceux dits variationnels de manière générale (cest-à-dire, « toute situation où il y a quelque chose à minimiser sous des contraintes »), requiert en préalable quon en maîtrise les bases, les outils fondamentaux et quelques principes. Le présent ouvrage est un cours répondant en partie à cette demande, il est principalement destiné à des étudiants de Master en formation, et restreint à lessentiel. Sont abordés successivement : La semicontinuité inférieure, les topologies faibles, les résultats fondamentaux dexistence en optimisation ; Les conditions doptimalité approchée ; Des développements sur la projection sur un convexe fermé, notamment sur un cône convexe fermé ; Lanalyse convexe dans son rôle opératoire ; Quelques schémas de dualisation dans des problèmes doptimisation non convexe structurés ; Une introduction aux sous-différentiels généralisés de fonctions non différentiables.

Basic Number Theory

Springer Berlin Heidelberg

Seiten xviii,316

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9783540586555

26.74 €

(inkl. 7% Mwst)
From the reviews: `L.R. Shafarevich showed me the first edition [ ] and said that this book will be from now on the book about class field theory. In fact it is by far the most complete treatment of the main theorems of algebraic number theory, including function fields over finite constant fields, that appeared in book form.` Zentralblatt MATH

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9783540586555

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Basic Real Analysis

Birkhäuser Boston

Seiten xxiv,656

Erscheinungsjahr 2005

Einband: Hardcover

ISBN 9780817632502

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2005

Einband: Hardcover

ISBN 9780817632502

37.44 €

(inkl. 7% Mwst)

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Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established

A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics

Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.

Bayesian Computation with R

Springer New York

Seiten xii,300

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9780387922973

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9780387922973

26.74 €

(inkl. 7% Mwst)

Lieferstatus

There has been dramatic growth in the development and application of Bayesian inference in statistics. Berger (2000) documents the increase in Bayesian activity by the number of published research articles, the number of books,andtheextensivenumberofapplicationsofBayesianarticlesinapplied disciplines such as science and engineering. One reason for the dramatic growth in Bayesian modeling is the availab- ity of computational algorithms to compute the range of integrals that are necessary in a Bayesian posterior analysis. Due to the speed of modern c- puters, it is now possible to use the Bayesian paradigm to ?t very complex models that cannot be ?t by alternative frequentist methods. To ?t Bayesian models, one needs a statistical computing environment. This environment should be such that one can: write short scripts to de?ne a Bayesian model use or write functions to summarize a posterior distribution use functions to simulate from the posterior distribution construct graphs to illustrate the posterior inference An environment that meets these requirements is the R system. R provides a wide range of functions for data manipulation, calculation, and graphical d- plays. Moreover, it includes a well-developed, simple programming language that users can extend by adding new functions. Many such extensions of the language in the form of packages are easily downloadable from the Comp- hensive R Archive Network (CRAN).

Berkeley Problems in Mathematics

Springer New York

Seiten xiv,593

Erscheinungsjahr 2004

Einband: Softcover

ISBN 9780387008929

32.09 €

(inkl. 7% Mwst)
This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.

Erscheinungsjahr 2004

Einband: Softcover

ISBN 9780387008929

32.09 €

(inkl. 7% Mwst)

Lieferstatus

Berkeley Problems in Mathematics

Springer New York

Seiten xiv,593

Erscheinungsjahr 2004

Einband: Hardcover

ISBN 9780387204291

80.24 €

(inkl. 7% Mwst)
This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.

Erscheinungsjahr 2004

Einband: Hardcover

ISBN 9780387204291

80.24 €

(inkl. 7% Mwst)

Lieferstatus

Bernhard Riemann 18261866

Turning Points in the Conception of Mathematics

Birkhäuser Boston

Seiten xvii,357

Erscheinungsjahr 1999

Einband: Softcover

ISBN 9780817647766

26.74 €

(inkl. 7% Mwst)
The name of Bernard Riemann is well known to mathematicians and physicists around the world. His name is indelibly stamped on the literature of mathematics and physics. This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemanns work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics.

Erscheinungsjahr 1999

Einband: Softcover

ISBN 9780817647766

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Bicomplex Holomorphic Functions

The Algebra, Geometry and Analysis of Bicomplex Numbers

Springer International Publishing

Seiten viii,231

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319248660

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319248660

26.74 €

(inkl. 7% Mwst)

Lieferstatus

The purpose of this book is to develop the foundations of the theory of holomorphicity on the ring of bicomplex numbers. Accordingly, the main focus is on expressing the similarities with, and differences from, the classical theory of one complex variable. The result is an elementary yet comprehensive introduction to the algebra, geometry and analysis of bicomplex numbers.

Around the middle of the nineteenth century, several mathematicians (the best known being Sir William Hamilton and Arthur Cayley) became interested in studying number systems that extended the field of complex numbers. Hamilton famously introduced the quaternions, a skew field in real-dimension four, while almost simultaneously James Cockle introduced a commutative four-dimensional real algebra, which was rediscovered in 1892 by Corrado Segre, who referred to his elements as bicomplex numbers. The advantages of commutativity were accompanied by the introduction of zero divisors, something that for a while dampened interest in this subject. In recent years, due largely to the work of G.B. Price, there has been a resurgence of interest in the study of these numbers and, more importantly, in the study of functions defined on the ring of bicomplex numbers, which mimic the behavior of holomorphic functions of a complex variable.

While the algebra of bicomplex numbers is a four-dimensional real algebra, it is useful to think of it as a complexification of the field of complex

numbers; from this perspective, the bicomplex algebra possesses the properties of a one-dimensional theory inside four real dimensions. Its rich analysis and innovative geometry provide new ideas and potential applications in relativity and quantum mechanics alike.

The book will appeal to researchers in the fields of complex, hypercomplex and functional analysis, as well as undergraduate and graduate students with an interest in one- or multidimensional complex analysis.

Braid Groups

Springer New York

Seiten x,338

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780387338415

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780387338415

26.74 €

(inkl. 7% Mwst)

Lieferstatus

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices.

*Braid Groups* will serve graduate students and a number of mathematicians coming from diverse disciplines.

Braid Groups

Springer New York

Seiten x,338

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9781441922205

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9781441922205

26.74 €

(inkl. 7% Mwst)

Lieferstatus

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices.

*Braid Groups* will serve graduate students and a number of mathematicians coming from diverse disciplines.

Branching Random Walks

École d`Été de Probabilités de Saint-Flour XLII 2012

Springer International Publishing

Seiten x,133

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319253718

18.18 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319253718

18.18 €

(inkl. 7% Mwst)

Lieferstatus

Providing an elementary introduction to branching random walks, the main focus of these lecture notes is on the asymptotic properties of one-dimensional discrete-time supercritical branching random walks, and in particular, on extreme positions in each generation, as well as the evolution of these positions over time.

Starting with the simple case of Galton-Watson trees, the text primarily concentrates on exploiting, in various contexts, the spinal structure of branching random walks. The notes end with some applications to biased random walks on trees.

Brownian Motion and Stochastic Calculus

Springer New York

Seiten xxiii,470

Erscheinungsjahr 1998

Einband: Softcover

ISBN 9780387976556

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 1998

Einband: Softcover

ISBN 9780387976556

26.74 €

(inkl. 7% Mwst)

Lieferstatus

A graduate-course text, written for readers familiar with measure-theoretic probability and discrete-time processes, wishing to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed, illustrated by results concerning representations of martingales and change of measure on Wiener space, which in turn permit a presentation of recent advances in financial economics. The book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The whole is backed by a large number of problems and exercises.

Buildings

Theory and Applications

Springer New York

Seiten xxii,754

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780387788340

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780387788340

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This book treats Jacques Tit`s beautiful theory of buildings, making that theory accessible to readers with minimal background. It covers all three approaches to buildings, so that the reader can choose to concentrate on one particular approach. Beginners can use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher.

This book is suitable as a textbook, with many exercises, and it may also be used for self-study.

Buildings

Theory and Applications

Springer New York

Seiten xxii,754

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9781441927019

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9781441927019

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This book treats Jacques Tit`s beautiful theory of buildings, making that theory accessible to readers with minimal background. It covers all three approaches to buildings, so that the reader can choose to concentrate on one particular approach. Beginners can use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher.

This book is suitable as a textbook, with many exercises, and it may also be used for self-study.

Calabi-Yau Varieties: Arithmetic, Geometry and Physics

Lecture Notes on Concentrated Graduate Courses

Springer New York

Seiten x,547

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781493928293

64.19 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781493928293

64.19 €

(inkl. 7% Mwst)

Lieferstatus

This volume presents a lively introduction to the rapidly developing and vast research areas surrounding CalabiYau varieties and string theory. With its coverage of the various perspectives of a wide area of topics such as Hodge theory, GrossSiebert program, moduli problems, toric approach, and arithmetic aspects, the book gives a comprehensive overview of the current streams of mathematical research in the area.

The contributions in this book are based on lectures that took place during workshops with the following thematic titles: Modular Forms Around String Theory, Enumerative Geometry and CalabiYau Varieties, Physics Around Mirror Symmetry, Hodge Theory in String Theory. The book is ideal for graduate students and researchers learning about CalabiYau varieties as well as physics students and string theorists who wish to learn the mathematics behind these varieties.

Calculus on Normed Vector Spaces

Springer New York

Seiten xi,249

Erscheinungsjahr 2012

Einband: Softcover

ISBN 9781461438939

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2012

Einband: Softcover

ISBN 9781461438939

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary.

In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts. The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader.

CATBox

An Interactive Course in Combinatorial Optimization

Springer Berlin Heidelberg

Seiten xii,190

Erscheinungsjahr 2010

Einband: Softcover

ISBN 9783540148876

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2010

Einband: Softcover

ISBN 9783540148876

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Graph algorithms are easy to visualize and indeed there already exists a variety of packages to animate the dynamics when solving problems from graph theory. Still it can be difficult to understand the ideas behind the algorithm from the dynamic display alone.

CATBox consists of a software system for animating graph algorithms and a course book which we developed simultaneously. The software system presents both the algorithm and the graph and puts the user always in control of the actual code that is executed. In the course book, intended for readers at advanced undergraduate or graduate level, computer exercises and examples replace the usual static pictures of algorithm dynamics.

For this volume we have chosen solely algorithms for classical problems from combinatorial optimization, such as minimum spanning trees, shortest paths, maximum flows, minimum cost flows, weighted and unweighted matchings both for bipartite and non-bipartite graphs.

Find more information at http://schliep.org/CATBox/.

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Springer International Publishing

Seiten xiii,131

Erscheinungsjahr 2016

Einband: Softcover

ISBN 9783319224695

37.44 €

(inkl. 7% Mwst)
This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.

Erscheinungsjahr 2016

Einband: Softcover

ISBN 9783319224695

37.44 €

(inkl. 7% Mwst)

Lieferstatus

Channel Coding Techniques for Wireless Communications

Springer India

Seiten xxi,394

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9788132235378

58.84 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9788132235378

58.84 €

(inkl. 7% Mwst)

Lieferstatus

The book discusses modern channel coding techniques for wireless communications such as turbo codes, low parity check codes (LDPC), space-time coding, Reed Solomon (RS) codes and convolutional codes. Many illustrative examples are included in each chapter for easy understanding of the coding techniques. The text is integrated with MATLAB-based programs to enhance the understanding of the subjects underlying theories. It includes current topics of increasing importance such as turbo codes, LDPC codes, LT codes, Raptor codes and space-time coding in detail, in addition to the traditional codes such as cyclic codes, BCH and RS codes and convolutional codes. MIMO communications is a multiple antenna technology, which is an effective method for high-speed or high-reliability wireless communications. PC-based MATLAB m-files for the illustrative examples are included and also provided on the accompanying CD, which will help students and researchers involved in advanced and current concepts in coding theory. Channel coding, the core of digital communication and data storage, has undergone a major revolution as a result of the rapid growth of mobile and wireless communications.

The book is divided into 11 chapters. Assuming no prior knowledge in the field of channel coding, the opening chapters (1 - 2) begin with basic theory and discuss how to improve the performance of wireless communication channels using channel coding. Chapters 3 and 4 introduce Galois fields and present detailed coverage of BCH codes and Reed-Solomon codes. Chapters 57 introduce the family of convolutional codes, hard and soft-decision Viterbi algorithms, turbo codes, BCJR algorithm for turbo decoding and studies trellis coded modulation (TCM), turbo trellis coded modulation (TTCM), bit-interleaved coded modulation (BICM) as well as iterative BICM (BICM-ID) and compares them under various channel conditions. Chapters 8 and 9 focus on low-density parity-check (LDPC) codes, LT codes and Raptor codes. Chapters 10 and 11 discuss MIMO systems and space-time (ST) coding.

Channel Coding Techniques for Wireless Communications

Springer India

Seiten xxi,394

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9788132222910

58.84 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9788132222910

58.84 €

(inkl. 7% Mwst)

Lieferstatus

The book discusses modern channel coding techniques for wireless communications such as turbo codes, low parity check codes (LDPC), space-time coding, Reed Solomon (RS) codes and convolutional codes. Many illustrative examples are included in each chapter for easy understanding of the coding techniques. The text is integrated with MATLAB-based programs to enhance the understanding of the subjects underlying theories. It includes current topics of increasing importance such as turbo codes, LDPC codes, LT codes, Raptor codes and space-time coding in detail, in addition to the traditional codes such as cyclic codes, BCH and RS codes and convolutional codes. MIMO communications is a multiple antenna technology, which is an effective method for high-speed or high-reliability wireless communications. PC-based MATLAB m-files for the illustrative examples are included and also provided on the accompanying CD, which will help students and researchers involved in advanced and current concepts in coding theory. Channel coding, the core of digital communication and data storage, has undergone a major revolution as a result of the rapid growth of mobile and wireless communications.

The book is divided into 11 chapters. Assuming no prior knowledge in the field of channel coding, the opening chapters (1 - 2) begin with basic theory and discuss how to improve the performance of wireless communication channels using channel coding. Chapters 3 and 4 introduce Galois fields and present detailed coverage of BCH codes and Reed-Solomon codes. Chapters 57 introduce the family of convolutional codes, hard and soft-decision Viterbi algorithms, turbo codes, BCJR algorithm for turbo decoding and studies trellis coded modulation (TCM), turbo trellis coded modulation (TTCM), bit-interleaved coded modulation (BICM) as well as iterative BICM (BICM-ID) and compares them under various channel conditions. Chapters 8 and 9 focus on low-density parity-check (LDPC) codes, LT codes and Raptor codes. Chapters 10 and 11 discuss MIMO systems and space-time (ST) coding.

Chaos

An Introduction to Dynamical Systems

Springer New York

Seiten xvii,603

Erscheinungsjahr 1996

Einband: Softcover

ISBN 9780387946771

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 1996

Einband: Softcover

ISBN 9780387946771

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Developed and class-tested by a distinguished team of authors at two universities, this text is intended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits -- short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed for use with any software package. And each chapter ends with a Challenge, guiding students through an advanced topic in the form of an extended exercise.

Classical Descriptive Set Theory

Springer New York

Seiten xviii,404

Erscheinungsjahr 1995

Einband: Hardcover

ISBN 9780387943749

32.09 €

(inkl. 7% Mwst)
Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subject, which combines many elements of the different traditions. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory.

Erscheinungsjahr 1995

Einband: Hardcover

ISBN 9780387943749

32.09 €

(inkl. 7% Mwst)

Lieferstatus

Classical Descriptive Set Theory

Springer New York

Seiten xviii,404

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9781461286929

32.09 €

(inkl. 7% Mwst)
Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subject, which combines many elements of the different traditions. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory.

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9781461286929

32.09 €

(inkl. 7% Mwst)

Lieferstatus

Classical Mechanics

Dynamics

Springer New York

Seiten xiv,466

Erscheinungsjahr 2012

Einband: Hardcover

ISBN 9781461437390

93.08 €

(inkl. 7% Mwst)

Erscheinungsjahr 2012

Einband: Hardcover

ISBN 9781461437390

93.08 €

(inkl. 7% Mwst)

Lieferstatus

This is the second volume of three books devoted to Mechanics. In this book, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts in comparison to standard text books and monographs. Apart from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and teachers from the fields of mechanical and civil engineering, this volume is also intended to be used as a self-contained material for applied mathematicians and physical scientists and researchers.

Classical Mechanics

Kinematics and Statics

Springer New York

Seiten xiii,440

Erscheinungsjahr 2012

Einband: Hardcover

ISBN 9781461437901

93.08 €

(inkl. 7% Mwst)

Erscheinungsjahr 2012

Einband: Hardcover

ISBN 9781461437901

93.08 €

(inkl. 7% Mwst)

Lieferstatus

This is the first volume of three, devoted to Mechanics. This book contains classical mechanics problems including kinematics and statics. It is recommended as a supplementary textbook for undergraduate and graduate students from mechanical and civil engineering, as well as for physical scientists and engineers. It contains a basic introduction to classical mechanics, including fundamental principles, statics, and the geometry of masses, as well as thorough discussion on kinematics.

Classical Mechanics

Applied Mechanics and Mechatronics

Springer New York

Seiten xxi,250

Erscheinungsjahr 2012

Einband: Hardcover

ISBN 9781461439776

58.84 €

(inkl. 7% Mwst)

Erscheinungsjahr 2012

Einband: Hardcover

ISBN 9781461439776

58.84 €

(inkl. 7% Mwst)

Lieferstatus

This is the last book of three devoted to Mechanics, and uses the theoretical background presented in Classical Mechanics: Kinematics and Statics and Classical Mechanics: Dynamics. It focuses on exhibiting a unique approach, rooted in the classical mechanics, to study mechanical and electromagnetic processes occurring in Mechatronics. Contrary to the majority of the books devoted to Applied Mechanics, this volume places a particular emphasis on theory, modeling, analysis, and control of gyroscopic devices, including the military applications. This volume provides practicing mechanical/mechatronic engineers and designers, researchers, graduate and postgraduate students with a knowledge of mechanics focused directly on advanced applications.

Classical Mechanics

Dynamics

Springer New York

Seiten xiv,466

Erscheinungsjahr 2012

Einband: Softcover

ISBN 9781489987716

93.08 €

(inkl. 7% Mwst)
This is the second volume of three books devoted to Mechanics. In this book, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts in comparison to standard text books and monographs. Apart from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and teachers from the fields of mechanical and civil engineering, this volume is also intended to be used as a self-contained material for applied mathematicians and physical scientists and researchers.

Erscheinungsjahr 2012

Einband: Softcover

ISBN 9781489987716

93.08 €

(inkl. 7% Mwst)

Lieferstatus

Classical Topology and Combinatorial Group Theory

Springer New York

Seiten xii,336

Erscheinungsjahr 1993

Einband: Hardcover

ISBN 9780387979700

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 1993

Einband: Hardcover

ISBN 9780387979700

37.44 €

(inkl. 7% Mwst)

Lieferstatus

In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler`s polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment `undergraduate topology` proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus from geometric recreations like the seven bridges; rather, it resulted from the l`isualization of problems from other parts of mathematics-complex analysis (Riemann), mechanics (Poincare), and group theory (Dehn). It is these connec tions to other parts of mathematics which make topology an important as well as a beautiful subject.

Classical Topology and Combinatorial Group Theory

Springer New York

Seiten xii,336

Erscheinungsjahr 1993

Einband: Softcover

ISBN 9781461287490

37.44 €

(inkl. 7% Mwst)
In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler`s polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment `undergraduate topology` proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus from geometric recreations like the seven bridges; rather, it resulted from the l`isualization of problems from other parts of mathematics-complex analysis (Riemann), mechanics (Poincare), and group theory (Dehn). It is these connec tions to other parts of mathematics which make topology an important as well as a beautiful subject.

Erscheinungsjahr 1993

Einband: Softcover

ISBN 9781461287490

37.44 €

(inkl. 7% Mwst)

Lieferstatus

Cohomologie Galoisienne

Springer Berlin Heidelberg

Seiten ix,181

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9783540580027

18.18 €

(inkl. 7% Mwst)
This new edition includes a survey (mostly without proofs) of the main results obtained in the 30 years following original publication. It also incorporates newer material, including two `résumés de cours` at the Collège de France (1990 - 1991 and 1991 - 1992), and an updated bibliography.

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9783540580027

18.18 €

(inkl. 7% Mwst)

Lieferstatus

Collected Papers

Springer Japan

Seiten xxv,872

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9784431550556

32.09 €

(inkl. 7% Mwst)
Iwasawa is one of the most original and influential mathematicians in the 20th century. This Collected Papers of K. Iwasawa contains all 66 published papers, including 11 papers in Japanese, for which English abstracts (by the editors) are attached. Also included is a masterly summery of Iwasawa theory by J. Coates (Cambridge).

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9784431550556

32.09 €

(inkl. 7% Mwst)

Lieferstatus

Combinatorial Group Theory

Springer Berlin Heidelberg

Seiten xiv,339

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9783540411581

26.74 €

(inkl. 7% Mwst)
From the reviews: `This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference.` Mathematical Reviews

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9783540411581

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Combinatorial Methods in Topology and Algebra

Springer International Publishing

Seiten vii,227

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319201542

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319201542

37.44 €

(inkl. 7% Mwst)

Lieferstatus

Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects.

This book arises from the INdAM conference `CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,`` which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory.

The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.

Combinatorial Optimization

Theory and Algorithms

Springer Berlin Heidelberg

Seiten xx,660

Erscheinungsjahr 2012

Einband: Hardcover

ISBN 9783642244872

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2012

Einband: Hardcover

ISBN 9783642244872

37.44 €

(inkl. 7% Mwst)

Lieferstatus

This comprehensive textbook on combinatorial optimization places special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It is based on numerous courses on combinatorial optimization and specialized topics, mostly at graduate level. This book reviews the fundamentals, covers the classical topics (paths, flows, matching, matroids, NP-completeness, approximation algorithms) in detail, and proceeds to advanced and recent topics, some of which have not appeared in a textbook before. Throughout, it contains complete but concise proofs, and also provides numerous exercises and references.

This fifth edition has again been updated, revised, and significantly extended, with more than 60 new exercises and new material on various topics, including Cayley`s formula, blocking flows, faster *b*-matching separation, multidimensional knapsack, multicommodity max-flow min-cut ratio, and sparsest cut. Thus, this book represents the state of the art of combinatorial optimization.

Combinatorial Optimization

Theory and Algorithms

Springer Berlin Heidelberg

Seiten xx,660

Erscheinungsjahr 2012

Einband: Softcover

ISBN 9783642427671

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2012

Einband: Softcover

ISBN 9783642427671

37.44 €

(inkl. 7% Mwst)

Lieferstatus

This comprehensive textbook on combinatorial optimization places special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It is based on numerous courses on combinatorial optimization and specialized topics, mostly at graduate level. This book reviews the fundamentals, covers the classical topics (paths, flows, matching, matroids, NP-completeness, approximation algorithms) in detail, and proceeds to advanced and recent topics, some of which have not appeared in a textbook before. Throughout, it contains complete but concise proofs, and also provides numerous exercises and references.

This fifth edition has again been updated, revised, and significantly extended, with more than 60 new exercises and new material on various topics, including Cayley`s formula, blocking flows, faster *b*-matching separation, multidimensional knapsack, multicommodity max-flow min-cut ratio, and sparsest cut. Thus, this book represents the state of the art of combinatorial optimization.

Commutative Algebra

with a View Toward Algebraic Geometry

Springer New York

Seiten xvi,788

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9780387942698

21.39 €

(inkl. 7% Mwst)
This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9780387942698

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Commutative Algebra: Constructive Methods

Finite Projective Modules

Springer Netherlands

Seiten xlix,996

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9789401799430

82.38 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9789401799430

82.38 €

(inkl. 7% Mwst)

Lieferstatus

Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative.

The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prüfer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century.

This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. *Commutative Algebra: Constructive Methods* will be useful for graduate students, and also researchers, instructors and theoretical computer scientists.

Compact Lie Groups

Springer New York

Seiten xiii,201

Erscheinungsjahr 2007

Einband: Hardcover

ISBN 9780387302638

21.39 €

(inkl. 7% Mwst)
Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Coverage includes the construction of the Spin groups, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel-Weil Theorem. The book develops the necessary Lie algebra theory with a streamlined approach focusing on linear Lie groups.

Erscheinungsjahr 2007

Einband: Hardcover

ISBN 9780387302638

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Compact Lie Groups

Springer New York

Seiten xiii,201

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9781441921383

21.39 €

(inkl. 7% Mwst)
Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Coverage includes the construction of the Spin groups, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel-Weil Theorem. The book develops the necessary Lie algebra theory with a streamlined approach focusing on linear Lie groups.

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9781441921383

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Complex Analysis

Springer New York

Seiten xviii,478

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9780387950693

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9780387950693

26.74 €

(inkl. 7% Mwst)

Lieferstatus

An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.

Complex Analysis

Springer New York

Seiten xviii,478

Erscheinungsjahr 2001

Einband: Hardcover

ISBN 9780387950938

46.00 €

(inkl. 7% Mwst)
An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.

Erscheinungsjahr 2001

Einband: Hardcover

ISBN 9780387950938

46.00 €

(inkl. 7% Mwst)

Lieferstatus

Complex Analysis

Springer Berlin Heidelberg

Seiten x,532

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783540939825

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783540939825

26.74 €

(inkl. 7% Mwst)

Lieferstatus

All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed

Provides a more in-depth introduction to the subject than other existing books in this area

Over 400 exercises including hints for solutions are included

Complex Analysis 2

Riemann Surfaces, Several Complex Variables, Abelian Functions, Higher Modular Functions

Springer Berlin Heidelberg

Seiten xiii,506

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9783642205538

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9783642205538

37.44 €

(inkl. 7% Mwst)

Lieferstatus

The book contains a complete self-contained introduction to highlights of classical complex analysis. New proofs and some new results are included. All needed notions are developed within the book: with the exception of some basic facts which can be found in the ¯rst volume. There is no comparable treatment in the literature.

Complex Geometry

An Introduction

Springer Berlin Heidelberg

Seiten xii,309

Erscheinungsjahr 2005

Einband: Softcover

ISBN 9783540212904

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 2005

Einband: Softcover

ISBN 9783540212904

32.09 €

(inkl. 7% Mwst)

Lieferstatus

Easily accessible

Includes recent developments

Assumes very little knowledge of differentiable manifolds and functional analysis

Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

Complex Manifolds and Deformation of Complex Structures

Springer Berlin Heidelberg

Seiten xiv,465

Erscheinungsjahr 2005

Einband: Softcover

ISBN 9783540226147

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2005

Einband: Softcover

ISBN 9783540226147

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Kodaira is a Fields Medal Prize Winner. (In the absence of a Nobel prize in mathematics, they are regarded as the highest professional honour a mathematician can attain.)

Kodaira is an honorary member of the London Mathematical Society.

Affordable softcover edition of 1986 classic

Computation, Cryptography, and Network Security

Springer International Publishing

Seiten ix,756

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319372631

82.38 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319372631

82.38 €

(inkl. 7% Mwst)

Lieferstatus

Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference held in April 2013 at the Hellenic Military Academy, and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions and pursuits of scientists that pertain to engineering sciences. It is also presents the theoretical background required for algorithms and techniques applied to a large variety of concrete problems. A number of open questions as well as new future areas are also highlighted.

This book will appeal to operations research analysts, engineers, community decision makers, academics, the military community, practitioners sharing the current state-of-the-art, and analysts from coalition partners. Topics covered include Operations Research, Games and Control Theory, Computational Number Theory and Information Security, Scientific Computing and Applications, Statistical Modeling and Applications, Systems of Monitoring and Spatial Analysis.

Computation, Cryptography, and Network Security

Springer International Publishing

Seiten ix,756

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319182742

82.38 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319182742

82.38 €

(inkl. 7% Mwst)

Lieferstatus

Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference held in April 2013 at the Hellenic Military Academy, and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions and pursuits of scientists that pertain to engineering sciences. It is also presents the theoretical background required for algorithms and techniques applied to a large variety of concrete problems. A number of open questions as well as new future areas are also highlighted.

This book will appeal to operations research analysts, engineers, community decision makers, academics, the military community, practitioners sharing the current state-of-the-art, and analysts from coalition partners. Topics covered include Operations Research, Games and Control Theory, Computational Number Theory and Information Security, Scientific Computing and Applications, Statistical Modeling and Applications, Systems of Monitoring and Spatial Analysis.

Computational Electromagnetism

Cetraro, Italy 2014

Springer International Publishing

Seiten vii,240

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319193052

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319193052

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Presenting topics that have not previously been contained in a single volume, this book offers an up-to-date review of computational methods in electromagnetism, with a focus on recent results in the numerical simulation of real-life electromagnetic problems and on theoretical results that are useful in devising and analyzing approximation algorithms. Based on four courses delivered in Cetraro in June 2014, the material covered includes the spatial discretization of Maxwells equations in a bounded domain, the numerical approximation of the eddy current model in harmonic regime, the time domain integral equation method (with an emphasis on the electric-field integral equation) and an overview of qualitative methods for inverse electromagnetic scattering problems.

Assuming some knowledge of the variational formulation of PDEs and of finite element/boundary element methods, the book is suitable for PhD students and researchers interested in numerical approximation of partial differential equations and scientific computing.

Computational Invariant Theory

Springer Berlin Heidelberg

Seiten xxii,366

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783662484203

69.54 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783662484203

69.54 €

(inkl. 7% Mwst)

Lieferstatus

This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built. There are two introductory chapters, one on Gröbner basis methods and one on the basic concepts of invariant theory, which prepare the ground for the algorithms. Then algorithms for computing invariants of finite and reductive groups are discussed. Particular emphasis lies on interrelations between structural properties of invariant rings and computational methods. Finally, the book contains a chapter on applications of invariant theory, covering fields as disparate as graph theory, coding theory, dynamical systems, and computer vision.

The book is intended for postgraduate students as well as researchers in geometry, computer algebra, and, of course, invariant theory. The text is enriched with numerous explicit examples which illustrate the theory and should be of more than passing interest.

More than ten years after the first publication of the book, the second edition now provides a major update and covers many recent developments in the field. Among the roughly 100 added pages there are two appendices, authored by Vladimi

r Popov, and an addendum by Norbert A`Campo and Vladimir Popov.
Computing the Continuous Discretely

Integer-Point Enumeration in Polyhedra

Springer New York

Seiten xx,285

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781493929689

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781493929689

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a self-contained tooling device.

The topics include a friendly invitation to Ehrharts theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, EulerMaclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more.

With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume?

**Reviews of the first edition:**

You owe it to yourself to pick up a copy of *Computing the Continuous Discretely* to read about a number of interesting problems in geometry, number theory, and combinatorics.

MAA Reviews

The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the mate

rial, exercises, open problems and an extensive bibliography. Zentralblatt MATH

This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.

Mathematical Reviews

Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying

way. Beck and Robins have written the perfect text for such a course. CHOICE

Concentration Inequalities for Sums and Martingales

Springer International Publishing

Seiten x,120

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319220987

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319220987

26.74 €

(inkl. 7% Mwst)

Lieferstatus

The purpose of this book is to provide an overview of historical and recent results on concentration inequalities for sums of independent random variables and for martingales.

The first chapter is devoted to classical asymptotic results in probability such as the strong law of large numbers and the central limit theorem. Our goal is to show that it is really interesting to make use of concentration inequalities for sums and martingales.

The second chapter deals with classical concentration inequalities for sums of independent random variables such as the famous Hoeffding, Bennett, Bernstein and Talagrand inequalities. Further results and improvements are also provided such as the missing factors in those inequalities.

The third chapter concerns concentration inequalities for martingales such as Azuma-Hoeffding, Freedman and De la Pena inequalities. Several extensions are also provided.

The fourth chapter is devoted to applications of concentration inequalities in probability and statistics.

Concentration Risk in Credit Portfolios

Springer Berlin Heidelberg

Seiten xviii,226

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783540708698

16.04 €

(inkl. 7% Mwst)

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783540708698

16.04 €

(inkl. 7% Mwst)

Lieferstatus

Modeling and management of credit risk are the main topics within banks and other lending institutions. Historical experience shows that, in particular, concentration of risk in credit portfolios has been one of the major causes of bank distress. Therefore, concentration risk is highly relevant to anyone who wants to go beyond the very basic portfolio credit risk models.

The book gives an introduction to credit risk modeling with the aim to measure concentration risks in credit portfolios. Taking the basic principles of credit risk in general as a starting point, several industry models are studied. These allow banks to compute a probability distribution of credit losses at the portfolio level. Besides these industry models the Internal Ratings Based model, on which Basel II is based, is treated.

On the basis of these models various methods for the quantification of name and sector concentration risk and the treatment of default contagion are discussed. The book reflects current research in these areas from both an academic and a supervisory perspective

Conics and Cubics

A Concrete Introduction to Algebraic Curves

Springer New York

Seiten viii,347

Erscheinungsjahr 2006

Einband: Hardcover

ISBN 9780387318028

26.74 €

(inkl. 7% Mwst)
Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezouts Theorem on the number of intersections of two curves. The subject area is described by means of concrete and accessible examples. The book is a text for a one-semester course.

Erscheinungsjahr 2006

Einband: Hardcover

ISBN 9780387318028

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Conics and Cubics

A Concrete Introduction to Algebraic Curves

Springer New York

Seiten viii,347

Erscheinungsjahr 2006

Einband: Softcover

ISBN 9781441921789

26.74 €

(inkl. 7% Mwst)
Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezouts Theorem on the number of intersections of two curves. The subject area is described by means of concrete and accessible examples. The book is a text for a one-semester course.

Erscheinungsjahr 2006

Einband: Softcover

ISBN 9781441921789

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Constructive Commutative Algebra

Projective Modules Over Polynomial Rings and Dynamical Gröbner Bases

Springer International Publishing

Seiten vii,271

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319194936

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319194936

26.74 €

(inkl. 7% Mwst)

Lieferstatus

The main goal of this book is to find the constructive content hidden in abstract proofs of concrete theorems in Commutative Algebra, especially in well-known theorems concerning projective modules over polynomial rings (mainly the Quillen-Suslin theorem) and syzygies of multivariate polynomials with coefficients in a valuation ring.

Simple and constructive proofs of some results in the theory of projective modules over polynomial rings are also given, and light is cast upon recent progress on the Hermite ring and Gröbner ring conjectures. New conjectures on unimodular completion arising from our constructive approach to the unimodular completion problem are presented.

Constructive algebra can be understood as a first preprocessing step for computer algebra that leads to the discovery of general algorithms, even if they are sometimes not efficient. From a logical point of view, the dynamical evaluation gives a constructive substitute for two highly nonconstructive tools of abstract algebra: the Law of Excluded Middle and Zorn`s Lemma. For instance, these tools are required in order to construct the complete prime factorization of an ideal in a Dedekind ring, whereas the dynamical method reveals the computational content of this construction. These lecture notes follow this dynamical philosophy.

Continuous Martingales and Brownian Motion

Springer Berlin Heidelberg

Seiten xiii,602

Erscheinungsjahr 1999

Einband: Hardcover

ISBN 9783540643258

53.49 €

(inkl. 7% Mwst)
`This is a magnificent book! Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion....This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises.` BULLETIN OF THE L.M.S.

Erscheinungsjahr 1999

Einband: Hardcover

ISBN 9783540643258

53.49 €

(inkl. 7% Mwst)

Lieferstatus

Continuous Martingales and Brownian Motion

Springer Berlin Heidelberg

Seiten xiii,602

Erscheinungsjahr 1999

Einband: Softcover

ISBN 9783642084003

53.49 €

(inkl. 7% Mwst)
`This is a magnificent book! Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion....This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises.` BULLETIN OF THE L.M.S.

Erscheinungsjahr 1999

Einband: Softcover

ISBN 9783642084003

53.49 €

(inkl. 7% Mwst)

Lieferstatus

Continuous Nowhere Differentiable Functions

The Monsters of Analysis

Springer International Publishing

Seiten xii,299

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319126692

58.84 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319126692

58.84 €

(inkl. 7% Mwst)

Lieferstatus

This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly. After illuminating the significance of the subject through an overview of its history, the reader is introduced to the sophisticated toolkit of ideas and tricks used to study the explicit continuous nowhere differentiable functions of Weierstrass, Takagivan der Waerden, Bolzano, and others. Modern tools of functional analysis, measure theory, and Fourier analysis are applied to examine the generic nature of continuous nowhere differentiable functions, as well as linear structures within the (nonlinear) space of continuous nowhere differentiable functions. To round out the presentation, advanced techniques from several areas of mathematics are brought together to give a state-of-the-art analysis of Riemanns continuous, and purportedly nowhere differentiable, function.

For the readers benefit, claims requiring elaboration, and open problems, are clearly indicated. An appendix conveniently provides background material from analysis and number theory, and comprehensive indices of symbols, problems, and figures enhance the books utility as a reference work. Students and researchers of analysis will value this unique book as a self-contained guide to the subject and its methods.
Contributions to Nonlinear Elliptic Equations and Systems

A Tribute to Djairo Guedes de Figueiredo on the Occasion of his 80th Birthday

Springer International Publishing

Seiten xiv,438

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319199016

69.54 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319199016

69.54 €

(inkl. 7% Mwst)

Lieferstatus

This volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday. The articles it contains were born out of the ICMC Summer Meeting on Differential Equations 2014 Chapter, also dedicated to de Figueiredo and held at the Universidade de São Paulo at São Carlos, Brazil from February 3-7, 2014. The contributing authors represent a group of international experts in the field and discuss recent trends and new directions in nonlinear elliptic partial differential equations and systems.

Djairo Guedes de Figueiredo has had a very active scientific career, publishing 29 monographs and over one hundred research articles. His influence on Brazilian mathematics has made him one of the pillars of the subject in that country. He had a major impact on the development of analysis, especially in its application to nonlinear elliptic partial differential equations and systems throughout the entire world. The articles collected here pay tribute to him and his legacy and are intended for graduate students and researchers in mathematics and related areas who are interested in nonlinear elliptic partial differential equations and systems.

Controlled Markov Processes and Viscosity Solutions

Springer New York

Seiten xvii,429

Erscheinungsjahr 2006

Einband: Hardcover

ISBN 9780387260457

69.54 €

(inkl. 7% Mwst)
This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. It covers dynamic programming for deterministic optimal control problems, as well as to the corresponding theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.

Erscheinungsjahr 2006

Einband: Hardcover

ISBN 9780387260457

69.54 €

(inkl. 7% Mwst)

Lieferstatus

Controlled Markov Processes and Viscosity Solutions

Springer New York

Seiten xvii,429

Erscheinungsjahr 2006

Einband: Softcover

ISBN 9781441920782

69.54 €

(inkl. 7% Mwst)
This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. It covers dynamic programming for deterministic optimal control problems, as well as to the corresponding theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.

Erscheinungsjahr 2006

Einband: Softcover

ISBN 9781441920782

69.54 €

(inkl. 7% Mwst)

Lieferstatus

Convex Optimization in Normed Spaces

Theory, Methods and Examples

Springer International Publishing

Seiten xiv,124

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319137094

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319137094

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This work is intended to serve as a guide for graduate students and researchers who wish to get acquainted with the main theoretical and practical tools for the numerical minimization of convex functions on Hilbert spaces. Therefore, it contains the main tools that are necessary to conduct independent research on the topic. It is also a concise, easy-to-follow and self-contained textbook, which may be useful for any researcher working on related fields, as well as teachers giving graduate-level courses on the topic. It will contain a thorough revision of the extant literature including both classical and state-of-the-art references.

Counting with Symmetric Functions

Springer International Publishing

Seiten x,292

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319236179

50.28 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319236179

50.28 €

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Lieferstatus

This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics. It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate concepts and also highlight many interesting mathematical ideas.

The text begins by introducing fundamental combinatorial objects such as permutations and integer partitions, as well as generating functions. Symmetric functions are considered in the next chapter, with a unique emphasis on the combinatorics of the transition matrices between bases of symmetric functions. Chapter 3 uses this introductory material to describe how to find an assortment of generating functions for permutation statistics, and then these techniques are extended to find generating functions for a variety of objects in Chapter 4. The next two chapters present the Robinson-Schensted-Knuth algorithm and a method for proving Pólyas enumeration theorem using symmetric functions. Chapters 7 and 8 are more specialized than the preceding ones, covering consecutive pattern matches in permutations, words, cycles, and alternating permutations and introducing the reciprocity method as a way to define ring homomorphisms with desirable properties.

*Counting with Symmetric Functions* will appeal to graduate students and researchers in mathematics or related subjects who are interested in counting methods, generating functions, or symmetric functions. The unique approach taken and results and exercises explored by the authors make it an important contribution to the mathematical literature.

Counting: The Art of Enumerative Combinatorics

Springer New York

Seiten xii,252

Erscheinungsjahr 2001

Einband: Hardcover

ISBN 9780387952253

28.88 €

(inkl. 7% Mwst)

Erscheinungsjahr 2001

Einband: Hardcover

ISBN 9780387952253

28.88 €

(inkl. 7% Mwst)

Lieferstatus

This book provides an introduction to discrete mathematics. At the end of the book the reader should be able to answer counting questions such as: How many ways are there to stack n poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip? The book can be used as a textbook for a semester course at the sophomore level. The first five chapters can also serve as a basis for a graduate course for in-service teachers.

Counting: The Art of Enumerative Combinatorics

Springer New York

Seiten xii,252

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9781441929150

28.88 €

(inkl. 7% Mwst)
This book provides an introduction to discrete mathematics. At the end of the book the reader should be able to answer counting questions such as: How many ways are there to stack n poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip? The book can be used as a textbook for a semester course at the sophomore level. The first five chapters can also serve as a basis for a graduate course for in-service teachers.

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9781441929150

28.88 €

(inkl. 7% Mwst)

Lieferstatus

Courbes Algébriques Planes

Springer Berlin Heidelberg

Seiten x,160

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9783540337072

21.39 €

(inkl. 7% Mwst)

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9783540337072

21.39 €

(inkl. 7% Mwst)

Lieferstatus

^{3}+y^{3}+z^{3} = 0^{ }définit un tore dans le plan projectif complexe.

Courbes et dimension fractale

Springer Berlin Heidelberg

Seiten xx,377

Erscheinungsjahr 1999

Einband: Softcover

ISBN 9783540655046

16.04 €

(inkl. 7% Mwst)
Ce livre fait une revue de diverses techniques d`analyse des courbes planes, en vue des applications. Après une première partie sur les ensembles de mesure nulle sur la droite, une seconde traite des courbes `rectifiables` (de longueur finie), et une troisième, la plus importante, des courbes fractales. Cet ouvrage est destiné aux chercheurs en sciences expérimentales, et comporte un minimum de formalisme mathématique.

Erscheinungsjahr 1999

Einband: Softcover

ISBN 9783540655046

16.04 €

(inkl. 7% Mwst)

Lieferstatus

D-Modules, Perverse Sheaves, and Representation Theory

Birkhäuser Boston

Seiten xi,412

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780817643638

42.79 €

(inkl. 7% Mwst)

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780817643638

42.79 €

(inkl. 7% Mwst)

Lieferstatus

*D*-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to *D-modules, Perverse Sheaves, and Representation Theory* is the authors` essential algebraic-analytic approach to the theory, which connects *D*-modules to representation theory and other areas of mathematics.

To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.

Data Assimilation

A Mathematical Introduction

Springer International Publishing

Seiten xviii,242

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319203249

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319203249

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation, covering both theoretical and computational approaches. Specifically the authors develop a unified mathematical framework in which a Bayesian formulation of the problem provides the bedrock for the derivation, development and analysis of algorithms; the many examples used in the text, together with the algorithms which are introduced and discussed, are all illustrated by the MATLAB software detailed in the book and made freely available online.

The book is organized into nine chapters: the first contains a brief introduction to the mathematical tools around which the material is organized; the next four are concerned with discrete time dynamical systems and discrete time data; the last four are concerned with continuous time dynamical systems and continuous time data and are organized analogously to the corresponding discrete time chapters.

This book is aimed at mathematical researchers interested in a systematic development of this interdisciplinary field, and at researchers from the geosciences, and a variety of other scientific fields, who use tools from data assimilation to combine data with time-dependent models. The numerous examples and illustrations make understanding of the theoretical underpinnings of data assimilation accessible. Furthermore, the examples, exercises and MATLAB software, make the book suitable for students in applied mathematics, either through a lecture course, or through self-study.

Data Manipulation with R

Springer New York

Seiten x,154

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9780387747309

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9780387747309

37.44 €

(inkl. 7% Mwst)

Lieferstatus

The R language provides a rich environment for working with data, especially data to be used for statistical modeling or graphics. Coupled with the large variety of easily available packages, it allows access to both well-established and experimental statistical techniques. However techniques that might make sense in other languages are often very ine?cient in R, but, due to Rs ?- ibility, it is often possible to implement these techniques in R. Generally, the problem with such techniques is that they do not scale properly; that is, as the problem size grows, the methods slow down at a rate that might be unexpected. The goal of this book is to present a wide variety of data - nipulation techniques implemented in R to take advantage of the way that R works,ratherthandirectlyresemblingmethodsusedinotherlanguages. Since this requires a basic notion of how R stores data, the ?rst chapter of the book is devoted to the fundamentals of data in R. The material in this chapter is a prerequisite for understanding the ideas introduced in later chapters. Since one of the ?rst tasks in any project involving data and R is getting the data into R in a way that it will be usable, Chapter 2 covers reading data from a variety of sources (text ?les, spreadsheets, ?les from other programs, etc. ), as well as saving R objects both in native form and in formats that other programs will be able to work with.

Differentiable Manifolds

Birkhäuser Boston

Seiten xiv,418

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9780817647667

21.39 €

(inkl. 7% Mwst)
The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry. Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text. Topics that can be omitted safely in a first course are clearly marked, making this edition easier to use for such a course, as well as for private study by non-specialists.

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9780817647667

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Differential Analysis on Complex Manifolds

Springer New York

Seiten xiv,304

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780387738918

26.74 €

(inkl. 7% Mwst)
A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Wellss superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths`s period mapping, quadratic transformations, and Kodaira`s vanishing and embedding theorems. Oscar Garcia-Pradas appendix gives an overview of the developments in the field during the decades since the book appeared.

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780387738918

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Differential Analysis on Complex Manifolds

Springer New York

Seiten xiv,304

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9781441925350

26.74 €

(inkl. 7% Mwst)
A brand new appendix by Oscar Garcia-Prada graces this third edition of a classic work. In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Wellss superb analysis also gives details of the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths`s period mapping, quadratic transformations, and Kodaira`s vanishing and embedding theorems. Oscar Garcia-Pradas appendix gives an overview of the developments in the field during the decades since the book appeared.

Erscheinungsjahr 2008

Einband: Softcover

ISBN 9781441925350

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Differential Equations with Involutions

Atlantis Press

Seiten xiv,154

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9789462391208

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9789462391208

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This monograph covers the existing results regarding Greens functions for differential equations with involutions (DEI).The first part of the book is devoted to the study of the most useful aspects of involutions from an analytical point of view and the associated algebras of differential operators.
The work combines the state of the art regarding the existence and uniqueness results for DEI and new theorems describing how to obtain Greens functions, proving that the theory can be extended to operators (not necessarily involutions) of a similar nature, such as the Hilbert transform or projections, due to their analogous algebraic properties.
Obtaining a Greens function for these operators leads to new results on the qualitative properties of the solutions, in particular maximum and antimaximum principles.

Differential Equations: Methods and Applications

Springer International Publishing

Seiten x,212

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319257341

21.39 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319257341

21.39 €

(inkl. 7% Mwst)

Lieferstatus

This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples. Focusing on the modeling of real-world phenomena, it begins with a basic introduction to differential equations, followed by linear and nonlinear first order equations and a detailed treatment of the second order linear equations. After presenting solution methods for the Laplace transform and power series, it lastly presents systems of equations and offers an introduction to the stability theory.

To help readers practice the theory covered, two types of exercises are provided: those that illustrate the general theory, and others designed to expand on the text material. Detailed solutions to all the exercises are included.

The book is excellently suited for use as a textbook for an undergraduate class (of all disciplines) in ordinary differential equations.

Differential Forms and Applications

Springer Berlin Heidelberg

Seiten x,118

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9783540576181

21.39 €

(inkl. 7% Mwst)

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9783540576181

21.39 €

(inkl. 7% Mwst)

Lieferstatus

An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them attractive to `users` of mathematics. A brief and elementary introduction to differentiable manifolds is given so that the main theorem, namely Stokes` theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames expounded by E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. This is then collated in the last chapter to present Chern`s proof of the Gauss-Bonnet theorem for compact surfaces.

Differential Geometry

Cartan`s Generalization of Klein`s Erlangen Program

Springer New York

Seiten xx,426

Erscheinungsjahr 1997

Einband: Hardcover

ISBN 9780387947327

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 1997

Einband: Hardcover

ISBN 9780387947327

32.09 €

(inkl. 7% Mwst)

Lieferstatus

Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections. Although the author had in mind a book accessible to graduate students, potential readers would also include working differential geometers who would like to know more about what Cartan did, which was to give a notion of `espaces généralisés` (= Cartan geometries) generalizing homogeneous spaces (= Klein geometries) in the same way that Riemannian geometry generalizes Euclidean geometry. In addition, physicists will be interested to see the fully satisfying way in which their gauge theory can be truly regarded as geometry.

Differential Topology

Springer International Publishing

Seiten xiii,349

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319369389

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319369389

32.09 €

(inkl. 7% Mwst)

Lieferstatus

This book presents a systematic and comprehensive account of the theory of differentiable manifolds and provides the necessary background for the use of fundamental differential topology tools. The text includes, in particular, the earlier works of Stephen Smale, for which he was awarded the Fields Medal. Explicitly, the topics covered are Thom transversality, Morse theory, theory of handle presentation, h-cobordism theorem and the generalised Poincaré conjecture. The material is the outcome of lectures and seminars on various aspects of differentiable manifolds and differential topology given over the years at the Indian Statistical Institute in Calcutta, and at other universities throughout India.

The book will appeal to graduate students and researchers interested in these topics. An elementary knowledge of linear algebra, general topology, multivariate calculus, analysis and algebraic topology is recommended.

Differential Topology

Springer International Publishing

Seiten xiii,349

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319190440

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319190440

32.09 €

(inkl. 7% Mwst)

Lieferstatus

This book presents a systematic and comprehensive account of the theory of differentiable manifolds and provides the necessary background for the use of fundamental differential topology tools. The text includes, in particular, the earlier works of Stephen Smale, for which he was awarded the Fields Medal. Explicitly, the topics covered are Thom transversality, Morse theory, theory of handle presentation, h-cobordism theorem and the generalised Poincaré conjecture. The material is the outcome of lectures and seminars on various aspects of differentiable manifolds and differential topology given over the years at the Indian Statistical Institute in Calcutta, and at other universities throughout India.

The book will appeal to graduate students and researchers interested in these topics. An elementary knowledge of linear algebra, general topology, multivariate calculus, analysis and algebraic topology is recommended.

Diophantine Geometry

An Introduction

Springer New York

Seiten xiii,561

Erscheinungsjahr 2000

Einband: Hardcover

ISBN 9780387989754

37.44 €

(inkl. 7% Mwst)
This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.

Erscheinungsjahr 2000

Einband: Hardcover

ISBN 9780387989754

37.44 €

(inkl. 7% Mwst)

Lieferstatus

Diophantine Geometry

An Introduction

Springer New York

Seiten xiii,561

Erscheinungsjahr 2000

Einband: Softcover

ISBN 9780387989815

26.74 €

(inkl. 7% Mwst)
This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.

Erscheinungsjahr 2000

Einband: Softcover

ISBN 9780387989815

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Dirichlet Forms Methods for Poisson Point Measures and Lévy Processes

With Emphasis on the Creation-Annihilation Techniques

Springer International Publishing

Seiten xviii,323

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319258188

50.28 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319258188

50.28 €

(inkl. 7% Mwst)

Lieferstatus

A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Called the lent particle method it is based on perturbation of the position of particles. Poisson random measures describe phenomena involving random jumps (for instance in mathematical finance) or the random distribution of particles (as in statistical physics). Thanks to the theory of Dirichlet forms, the authors develop a mathematical tool for a quite general class of random Poisson measures and significantly simplify computations of Malliavin matrices of Poisson functionals. The method gives rise to a new explicit calculus that they illustrate on various examples: it consists in adding a particle and then removing it after computing the gradient. Using this method, one can establish absolute continuity of Poisson functionals such as Lévy areas, solutions of SDEs driven by Poisson measure and, by iteration, obtain regularity of laws. The authors also give applications to error calculus theory.
This book will be of interest to researchers and graduate students in the fields of stochastic analysis and finance, and in the domain of statistical physics. Professors preparing courses on these topics will also find it useful. The prerequisite is a knowledge of probability theory.

Discontinuous Galerkin Method

Analysis and Applications to Compressible Flow

Springer International Publishing

Seiten xiv,572

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319192666

64.19 €

(inkl. 7% Mwst)
The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow. It deals with the theoretical as well as practical aspects of the DGM and treats the basic concepts and ideas of the DGM, as well as the latest significant findings and achievements in this area. The main benefit for readers and the books uniqueness lie in the fact that it is sufficiently detailed, extensive and mathematically precise, while at the same time providing a comprehensible guide through a wide spectrum of discontinuous Galerkin techniques and a survey of the latest efficient, accurate and robust discontinuous Galerkin schemes for the solution of compressible flow.

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319192666

64.19 €

(inkl. 7% Mwst)

Lieferstatus

Discontinuous Galerkin Method

Analysis and Applications to Compressible Flow

Springer International Publishing

Seiten xiv,572

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319371238

64.19 €

(inkl. 7% Mwst)
The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow. It deals with the theoretical as well as practical aspects of the DGM and treats the basic concepts and ideas of the DGM, as well as the latest significant findings and achievements in this area. The main benefit for readers and the books uniqueness lie in the fact that it is sufficiently detailed, extensive and mathematically precise, while at the same time providing a comprehensible guide through a wide spectrum of discontinuous Galerkin techniques and a survey of the latest efficient, accurate and robust discontinuous Galerkin schemes for the solution of compressible flow.

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319371238

64.19 €

(inkl. 7% Mwst)

Lieferstatus

Discrete Fractional Calculus

Springer International Publishing

Seiten xiii,556

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319255606

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319255606

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting point. Several exercises are offered at the end of each chapter and select answers have been provided at the end of the book.

The presentation of the content is designed to give ample flexibility for potential use in a myriad of courses and for independent study. The novel approach taken by the authors includes a simultaneous treatment of the fractional- and integer-order difference calculus (on a variety of time scales, including both the usual forward and backwards difference operators). The reader will acquire a solid foundation in the classical topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the subject.

Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory course for difference equations which also includes discrete fractional calculus. Chapters 12 provide a basic introduction to the delta calculus including fractional calculus on the set of integers. For courses where students already have background in elementary real analysis, Chapters 12 may be covered quickly and readers may then skip to Chapters 67 which present some basic results in fractional boundary value problems (FBVPs). Chapters 67 in conjunction with some of the current literature listed in the Bibliography can provide a basis for a seminar in the current theory of FBVPs. For a two-semester course, Chapters 15 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integer-order calculus.
Discrete Groups, Expanding Graphs and Invariant Measures

Birkhäuser Basel

Seiten xi,196

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9783034603317

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9783034603317

32.09 €

(inkl. 7% Mwst)

Lieferstatus

In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied by Banach [Ba]. It asks whether the Lebesgue measure is the only ?nitely additive measure of total measure one, de?ned on the Lebesgue subsets of the n-dimensional sphere and invariant under all rotations. The two problems seem, at ?rst glance, totally unrelated. It is therefore so- what surprising that both problems were solved using similar methods: initially, Kazhdans property (T) from representation theory of semi-simple Lie groups was applied in both cases to achieve partial results, and later on, both problems were solved using the (proved) Ramanujan conjecture from the theory of automorphic forms. The fact that representation theory and automorphic forms have anything to do with these problems is a surprise and a hint as well that the two questions are strongly related.

Discriminants, Resultants, and Multidimensional Determinants

Birkhäuser Boston

Seiten x,523

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9780817647704

21.39 €

(inkl. 7% Mwst)

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9780817647704

21.39 €

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Lieferstatus

**Mathematical Reviews**

Elementary Number Theory

Springer London

Seiten xiv,302

Erscheinungsjahr 1998

Einband: Softcover

ISBN 9783540761976

18.18 €

(inkl. 7% Mwst)

Erscheinungsjahr 1998

Einband: Softcover

ISBN 9783540761976

18.18 €

(inkl. 7% Mwst)

Lieferstatus

An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat`s Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.

Elementary Symplectic Topology and Mechanics

Springer International Publishing

Seiten xvii,222

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319110257

21.39 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319110257

21.39 €

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Lieferstatus

This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the systematic utilization of Lagrangian submanifolds and their Maslov-Hörmander generating functions. Following this line of thought, first introduced by Wlodemierz Tulczyjew, geometric solutions of Hamilton-Jacobi equations, Hamiltonian vector fields and canonical transformations are described by suitable Lagrangian submanifolds belonging to distinct well-defined symplectic structures. This unified point of view has been particularly fruitful in symplectic topology, which is the modern Hamiltonian environment for the calculus of variations, yielding sharp sufficient existence conditions. This line of investigation was initiated by Claude Viterbo in 1992; here, some primary consequences of this theory are exposed in Chapter 8: aspects of Poincaré`s last geometric theorem and the Arnol`d conjecture are introduced. In Chapter 7 elements of the global asymptotic treatment of the highly oscillating integrals for the Schrödinger equation are discussed: as is well known, this eventually leads to the theory of Fourier Integral Operators. This short handbook is directed toward graduate students in Mathematics and Physics and to all those who desire a quick introduction to these beautiful subjects.

Elements of Algebra

Geometry, Numbers, Equations

Springer New York

Seiten xii,184

Erscheinungsjahr 1994

Einband: Hardcover

ISBN 9780387942902

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 1994

Einband: Hardcover

ISBN 9780387942902

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart.

Elements of Algebra

Geometry, Numbers, Equations

Springer New York

Seiten xii,184

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9781441928399

26.74 €

(inkl. 7% Mwst)
Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart.

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9781441928399

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Elements of Mathematics for Economics and Finance

Springer London

Seiten x,312

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9781846285608

21.39 €

(inkl. 7% Mwst)
This book equips undergraduates with the mathematical skills required for degree courses in economics, finance, management, and business studies. The fundamental ideas are described in the simplest mathematical terms, highlighting threads of common mathematical theory in the various topics. Coverage helps readers become confident and competent in the use of mathematical tools and techniques that can be applied to a range of problems.

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9781846285608

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Elements of Number Theory

Springer New York

Seiten xii,256

Erscheinungsjahr 2003

Einband: Hardcover

ISBN 9780387955872

26.74 €

(inkl. 7% Mwst)
Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.

Erscheinungsjahr 2003

Einband: Hardcover

ISBN 9780387955872

26.74 €

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Elements of Number Theory

Springer New York

Seiten xii,256

Erscheinungsjahr 2003

Einband: Softcover

ISBN 9781441930668

26.74 €

(inkl. 7% Mwst)
Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.

Erscheinungsjahr 2003

Einband: Softcover

ISBN 9781441930668

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Elliptic Partial Differential Equations of Second Order

Springer Berlin Heidelberg

Seiten xiii,518

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9783540411604

26.74 €

(inkl. 7% Mwst)
From the reviews: `This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from. The authors have taken trouble to make the treatment self-contained. It (is) suitable required reading for a PhD student.` --New Zealand Mathematical Society, 1985

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9783540411604

26.74 €

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Engineering Differential Equations

Theory and Applications

Springer New York

Seiten xix,745

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9781489981677

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9781489981677

37.44 €

(inkl. 7% Mwst)

Lieferstatus

This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses.
Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs.
This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.

Engineering Differential Equations

Theory and Applications

Springer New York

Seiten xix,745

Erscheinungsjahr 2011

Einband: Hardcover

ISBN 9781441979186

37.44 €

(inkl. 7% Mwst)
This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses.
Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs.
This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.

Erscheinungsjahr 2011

Einband: Hardcover

ISBN 9781441979186

37.44 €

(inkl. 7% Mwst)

Lieferstatus

Engineering Dynamics

A Primer

Springer New York

Seiten x,240

Erscheinungsjahr 2010

Einband: Softcover

ISBN 9781441963598

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2010

Einband: Softcover

ISBN 9781441963598

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This Primer is intended to provide the theoretical background for the standard undergraduate, mechanical engineering course in dynamics. The book contains several worked examples and summaries and exercises at the end of each chapter to aid readers in their understanding of the material. Teachers who wish to have a source of more detailed theory for the course, as well as graduate students who need a refresher course on undergraduate dynamics when preparing for certain first year graduate school examinations, and students taking the course will find the work very helpful.

Ensembles ordonnés finis : concepts, résultats et usages

Springer Berlin Heidelberg

Seiten xviii,342

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9783540737551

28.88 €

(inkl. 7% Mwst)

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9783540737551

28.88 €

(inkl. 7% Mwst)

Lieferstatus

Les buts principaux de cet ouvrage qui comble un vide sont de :

- donner les concepts et résultats fondamentaux sur les ensembles ordonnés finis,

- présenter leurs usages dans des domaines variés (de la RO ou lIA à la micro-économie),

- signaler un certain nombre de résultats et de recherches en cours.

Ergodic Theory

with a view towards Number Theory

Springer London

Seiten xvii,481

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9781447125914

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9781447125914

32.09 €

(inkl. 7% Mwst)

Lieferstatus

This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence.

Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl`s polynomial equidistribution theorem, the ergodic proof of Szemeredi`s theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits.

*Ergodic Theory with a view towards Number Theory* will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.

Ergodic Theory

with a view towards Number Theory

Springer London

Seiten xvii,481

Erscheinungsjahr 2011

Einband: Hardcover

ISBN 9780857290205

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 2011

Einband: Hardcover

ISBN 9780857290205

32.09 €

(inkl. 7% Mwst)

Lieferstatus

This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence.

Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl`s polynomial equidistribution theorem, the ergodic proof of Szemeredi`s theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits.

*Ergodic Theory with a view towards Number Theory* will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.

Essential Partial Differential Equations

Analytical and Computational Aspects

Springer International Publishing

Seiten xi,368

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319225685

18.18 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319225685

18.18 €

(inkl. 7% Mwst)

Lieferstatus

This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods.

Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advectiondiffusion problems.

The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to odd-numbered exercises are available to all readers while even-numbered solutions are available to authorised instructors.

Written in an informal yet rigorous style, *Essential Partial Differential Equations* is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific and engi

Essentials of Measure Theory

Springer International Publishing

Seiten xiii,279

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319225050

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319225050

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Classical in its approach, this textbook is thoughtfully designed and composed in two parts. Part I is meant for a one-semester beginning graduate course in measure theory, proposing an abstract approach to measure and integration, where the classical concrete cases of Lebesgue measure and Lebesgue integral are presented as an important particular case of general theory. Part II of the text is more advanced and is addressed to a more experienced reader. The material is designed to cover another one-semester graduate course subsequent to a first course, dealing with measure and integration in topological spaces.

The final section of each chapter in Part I presents problems that are integral to each chapter, the majority of which consist of auxiliary results, extensions of the theory, examples, and counterexamples. Problems which are highly theoretical have accompanying hints. The last section of each chapter of Part II consists of Additional Propositions containing auxiliary and complementary results. The entire book contains collections of suggested readings at the end of each chapter in order to highlight alternate approaches, proofs, and routes toward additional results.

With modest prerequisites, this text is intended to meet the needs of a contemporary course in measure theory for mathematics students and is also accessible to a wider student audience, namely those in statistics, economics, engineering, and physics. Part I may be also accessible to advanced undergraduates who fulfill the prerequisites which include an introductory course in analysis, linear algebra (Chapter 5 only), and elementary set theory.

Euclidean Geometry and its Subgeometries

Springer International Publishing

Seiten xix,527

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319237749

64.19 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319237749

64.19 €

(inkl. 7% Mwst)

Lieferstatus

In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isometries by means of reflection mappings. The authors present thirteen axioms in sequence, proving as many theorems as possible at each stage and, in the process, building up subgeometries, most notably the Pasch and neutral geometries. Standard topics such as the congruence theorems for triangles, embedding the real numbers in a line, and coordinatization of the plane are included, as well as theorems of Pythagoras, Desargues, Pappas, Menelaus, and Ceva. The final chapter covers consistency and independence of axioms, as well as independence of definition properties.

There are over 300 exercises; solutions to many of these, including all that are needed for this development, are available online at the homepage for the book at www.springer.com. Supplementary material is available online covering construction of complex numbers, arc length, the circular functions, angle measure, and the polygonal form of the Jordan Curve theorem.

*Euclidean Geometry and Its Subgeometries* is intended for advanced students and mature mathematicians, but the proofs are thoroughly worked out to make it accessible to undergraduate students as well. It can be regarded as a completion, updating, and expansion of Hilbert`s work, filling a gap in the existing literature.

There are over 300 exercises; solutions to many of these, including all that are needed for this development, are available online at the homepage for the book at www.springer.com. Supplementary material is available online covering construction of complex numbers, arc length, the circular functions, angle measure, and the polygonal form of the Jordan Curve theorem.

Eulerian Numbers

Springer New York

Seiten xviii,456

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781493930906

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781493930906

32.09 €

(inkl. 7% Mwst)

Lieferstatus

This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics. The book first studies Eulerian numbers from a purely combinatorial point of view, then embarks on a tour of how these numbers arise in the study of hyperplane arrangements, polytopes, and simplicial complexes. Some topics include a thorough discussion of gamma-nonnegativity and real-rootedness for Eulerian polynomials, as well as the weak order and the shard intersection order of the symmetric group.

The book also includes a parallel story of Catalan combinatorics, wherein the Eulerian numbers are replaced with Narayana numbers. Again there is a progression from combinatorics to geometry, including discussion of the associahedron and the lattice of noncrossing partitions.

The final chapters discuss how both the Eulerian and Narayana numbers have analogues in any finite Coxeter group, with many of the same enumerative and geometric properties. There are four supplemental chapters throughout, which survey more advanced topics, including some open problems in combinatorial topology.

This textbook will serve a resource for experts in the field as well as for graduate students and others hoping to learn about these topics for the first time.?

Explorations in Monte Carlo Methods

Springer New York

Seiten xii,243

Erscheinungsjahr 2009

Einband: Hardcover

ISBN 9780387878362

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2009

Einband: Hardcover

ISBN 9780387878362

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Monte Carlo methods are among the most used and useful computational tools available today, providing efficient and practical algorithims to solve a wide range of scientific and engineering problems. Applications covered in this book include optimization, finance, statistical mechanics, birth and death processes, and gambling systems.

*Explorations in Monte Carlo Methods* provides a hands-on approach to learning this subject. Each new idea is carefully motivated by a realistic problem, thus leading from questions to theory via examples and numerical simulations. Programming exercises are integrated throughout the text as the primary vehicle for learning the material. Each chapter ends with a large collection of problems illustrating and directing the material. This book is suitable as a textbook for students of engineering and the sciences, as well as mathematics.

Explorations in Monte Carlo Methods

Springer New York

Seiten xii,243

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9781489983794

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9781489983794

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Monte Carlo methods are among the most used and useful computational tools available today, providing efficient and practical algorithims to solve a wide range of scientific and engineering problems. Applications covered in this book include optimization, finance, statistical mechanics, birth and death processes, and gambling systems.

*Explorations in Monte Carlo Methods* provides a hands-on approach to learning this subject. Each new idea is carefully motivated by a realistic problem, thus leading from questions to theory via examples and numerical simulations. Programming exercises are integrated throughout the text as the primary vehicle for learning the material. Each chapter ends with a large collection of problems illustrating and directing the material. This book is suitable as a textbook for students of engineering and the sciences, as well as mathematics.

Extreme Value Theory

An Introduction

Springer New York

Seiten xviii,418

Erscheinungsjahr 2006

Einband: Hardcover

ISBN 9780387239460

39.58 €

(inkl. 7% Mwst)

Erscheinungsjahr 2006

Einband: Hardcover

ISBN 9780387239460

39.58 €

(inkl. 7% Mwst)

Lieferstatus

Focuses on theoretical results along with applications

All the main topics covering the heart of the subject are introduced to the reader in a systematic fashion

Concentration is on the probabilistic and statistical aspects of extreme values

Excellent introduction to extreme value theory at the graduate level, requiring only some mathematical maturity

Extreme Value Theory

An Introduction

Springer New York

Seiten xviii,418

Erscheinungsjahr 2006

Einband: Softcover

ISBN 9781441920201

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2006

Einband: Softcover

ISBN 9781441920201

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Focuses on theoretical results along with applications

All the main topics covering the heart of the subject are introduced to the reader in a systematic fashion

Concentration is on the probabilistic and statistical aspects of extreme values

Excellent introduction to extreme value theory at the graduate level, requiring only some mathematical maturity

Factors and Factorizations of Graphs

Proof Techniques in Factor Theory

Springer Berlin Heidelberg

Seiten xii,353

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9783642219184

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9783642219184

37.44 €

(inkl. 7% Mwst)

Lieferstatus

This book chronicles the development of graph factors and factorizations. It pursues a comprehensive approach, addressing most of the important results from hundreds of findings over the last century. One of the main themes is the observation that many theorems can be proved using only a few standard proof techniques. This stands in marked contrast to the seemingly countless, complex proof techniques offered by the extant body of papers and books. In addition to covering the history and development of this area, the book offers conjectures and discusses open problems. It also includes numerous explanatory figures that enable readers to progressively and intuitively understand the most important notions and proofs in the area of factors and factorization.

Fatou, Julia, Montel,

le grand prix des sciences mathématiques de 1918, et après...

Springer Berlin Heidelberg

Seiten vi,276

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783642004452

18.18 €

(inkl. 7% Mwst)

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783642004452

18.18 €

(inkl. 7% Mwst)

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Comment Fatou et Julia ont inventé ce que lon appelle aujourdhui les ensembles de Julia, avant, pendant et après la première guerre mondiale? Lhistoire est racontée, avec ses mathématiques, ses conflits, ses personnalités. Elle est traitée à partir de sources nouvelles, et avec rigueur. On pourra sy initier à litération des fractions rationnelles et à la dynamique complexe (ensembles de Julia, de Mandelbrot, ensembles-limites). Qui étaient Pierre Fatou, Gaston Julia, Paul Montel? On y trouvera en particulier des informations sur un mathématicien mal connu, Pierre Fatou. On découvrira aussi quelques incidences de la blessure reçue par Julia pendant la guerre sur la vie mathématique en France au vingtième siècle.

How did Pierre Fatou and Gaston Julia create what we now call Complex Dynamics, in the context of the early twentieth century and especially of the First World War? The book is based partly on new, unpublished sources.Who were Pierre Fatou, Gaston Julia, Paul Montel? New biographical information is given on the little known mathematician that was Pierre Fatou. How did the serious injury of Julia during WWI influence mathematical life in France?

Fixed Point Theory in Metric Type Spaces

Springer International Publishing

Seiten xvii,385

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319240800

58.84 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319240800

58.84 €

(inkl. 7% Mwst)

Lieferstatus

Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology.

The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework.

Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.

Foundations of Hyperbolic Manifolds

Springer New York

Seiten xii,782

Erscheinungsjahr 2006

Einband: Hardcover

ISBN 9780387331973

28.88 €

(inkl. 7% Mwst)
This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.

Erscheinungsjahr 2006

Einband: Hardcover

ISBN 9780387331973

28.88 €

(inkl. 7% Mwst)

Lieferstatus

Foundations of Hyperbolic Manifolds

Springer New York

Seiten xii,782

Erscheinungsjahr 2006

Einband: Softcover

ISBN 9781441922021

28.88 €

(inkl. 7% Mwst)
This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.

Erscheinungsjahr 2006

Einband: Softcover

ISBN 9781441922021

28.88 €

(inkl. 7% Mwst)

Lieferstatus

From Calculus to Analysis

Springer International Publishing

Seiten xix,342

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319381367

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319381367

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.

From Calculus to Analysis

Springer International Publishing

Seiten xix,342

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319136400

26.74 €

(inkl. 7% Mwst)
This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319136400

26.74 €

(inkl. 7% Mwst)

Lieferstatus

From Computer to Brain

Foundations of Computational Neuroscience

Springer New York

Seiten xx,364

Erscheinungsjahr 2002

Einband: Hardcover

ISBN 9780387955285

58.84 €

(inkl. 7% Mwst)

Erscheinungsjahr 2002

Einband: Hardcover

ISBN 9780387955285

58.84 €

(inkl. 7% Mwst)

Lieferstatus

Biology undergraduates, medical students and life-science graduate students often have limited mathematical skills. Similarly, physics, math and engineering students have little patience for the detailed facts that make up much of biological knowledge. Teaching computational neuroscience as an integrated discipline requires that both groups be brought forward onto common ground. This book does this by making ancillary material available in an appendix and providing basic explanations without becoming bogged down in unnecessary details. The book will be suitable for undergraduates and beginning graduate students taking a computational neuroscience course and also to anyone with an interest in the uses of the computer in modeling the nervous system.

From Computer to Brain

Foundations of Computational Neuroscience

Springer New York

Seiten xx,364

Erscheinungsjahr 2002

Einband: Softcover

ISBN 9780387955261

26.74 €

(inkl. 7% Mwst)
Biology undergraduates, medical students and life-science graduate students often have limited mathematical skills. Similarly, physics, math and engineering students have little patience for the detailed facts that make up much of biological knowledge. Teaching computational neuroscience as an integrated discipline requires that both groups be brought forward onto common ground. This book does this by making ancillary material available in an appendix and providing basic explanations without becoming bogged down in unnecessary details. The book will be suitable for undergraduates and beginning graduate students taking a computational neuroscience course and also to anyone with an interest in the uses of the computer in modeling the nervous system.

Erscheinungsjahr 2002

Einband: Softcover

ISBN 9780387955261

26.74 €

(inkl. 7% Mwst)

Lieferstatus

From Fourier Analysis to Wavelets

Springer International Publishing

Seiten xiii,210

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319220741

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319220741

37.44 €

(inkl. 7% Mwst)

Lieferstatus

This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. The fundamental aspects of multiresolution representation, and its importance to function discretization and to the construction of wavelets is also discussed.

Emphasis is given on ideas and intuition, avoiding the heavy computations which are usually involved in the study of wavelets. Readers should have a basic knowledge of linear algebra, calculus, and some familiarity with complex analysis. Basic knowledge of signal and image processing is desirable.

This text originated from a set of notes in Portuguese that the authors wrote for a wavelet course on the Brazilian Mathematical Colloquium in 1997 at IMPA, Rio de Janeiro.

Front Tracking for Hyperbolic Conservation Laws

Springer Berlin Heidelberg

Seiten xiv,517

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783662475065

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783662475065

37.44 €

(inkl. 7% Mwst)

Lieferstatus

This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions and the detailed solution of the Riemann problem for the Euler equations.

Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included.

From the reviews of the first edition:

`It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style.` D. Serre, MathSciNet

`I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course.` S. Noelle, Book review, German Math. Soc.

`Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws.` M. Laforest, Comp. Phys. Comm.

Functional Analysis

Springer Berlin Heidelberg

Seiten xvi,504

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9783540586548

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9783540586548

26.74 €

(inkl. 7% Mwst)

Lieferstatus

The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topo logical Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathe maticians, both pure and applied. The reader may pass, e. g. , from Chapter IX (Analytical Theory of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as `Weak Topologies and Duality in Locally Convex Spaces` and `Nuclear Spaces` are presented in the form of the appendices to Chapter V and Chapter X, respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators.

Functional Analysis, Sobolev Spaces and Partial Differential Equations

Springer New York

Seiten xiv,600

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9780387709130

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2011

Einband: Softcover

ISBN 9780387709130

37.44 €

(inkl. 7% Mwst)

Lieferstatus

*Analyse fonctionnelle* (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis *together* with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Functional Equations and How to Solve Them

Springer New York

Seiten xii,131

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9780387345390

21.39 €

(inkl. 7% Mwst)
Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.

Erscheinungsjahr 2007

Einband: Softcover

ISBN 9780387345390

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Functional Equations and How to Solve Them

Springer New York

Seiten xii,131

Erscheinungsjahr 2007

Einband: Hardcover

ISBN 9780387345345

28.88 €

(inkl. 7% Mwst)
Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.

Erscheinungsjahr 2007

Einband: Hardcover

ISBN 9780387345345

28.88 €

(inkl. 7% Mwst)

Lieferstatus

Functions, Spaces, and Expansions

Mathematical Tools in Physics and Engineering

Birkhäuser Boston

Seiten xix,266

Erscheinungsjahr 2010

Einband: Hardcover

ISBN 9780817649791

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2010

Einband: Hardcover

ISBN 9780817649791

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering.

Readers are expected to have a solid understanding of linear algebra, in R^{n} and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required.

Fundamental Solutions of Linear Partial Differential Operators

Theory and Practice

Springer International Publishing

Seiten xii,398

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319201399

58.84 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319201399

58.84 €

(inkl. 7% Mwst)

Lieferstatus

This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of fundamental solutions.

The main part of the book deals with existence theorems and uniqueness criteria, the method of parameter integration, the investigation of quasihyperbolic systems by means of Fourier and Laplace transforms, and the representation of fundamental solutions of homogeneous elliptic operators with the help of Abelian integrals.

In addition to rigorous distributional derivations and verifications of fundamental solutions, the book also shows how to construct fundamental solutions (matrices) of many physically relevant operators (systems), in elasticity, thermoelasticity, hexagonal/cubic elastodynamics, for Maxwells system and others.

The book mainly addresses researchers and lecturers who work with partial differential equations. However, it also offers a valuable resource for students with a solid background in vector calculus, complex analysis and functional analysis.

Fundamentals of Hopf Algebras

Springer International Publishing

Seiten xiv,150

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319189901

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Softcover

ISBN 9783319189901

26.74 €

(inkl. 7% Mwst)

Lieferstatus

This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras and Hopf algebras. The last chapter (Chapter 4) discusses several applications of Hopf algebras, some of which are further developed in the authors 2011 publication, *An Introduction to Hopf Algebras*. The book may be used as the main text or as a supplementary text for a graduate algebra course. Prerequisites for this text include standard material on groups, rings, modules, algebraic extension fields, finite fields and linearly recursive sequences.

The book consists of four chapters. Chapter 1 introduces algebras and coalgebras over a field *K*; Chapter 2 treats bialgebras; Chapter 3 discusses Hopf algebras and Chapter 4 consists of three applications of Hopf algebras. Each chapter begins with a short overview and ends with a collection of exercises which are designed to review and reinforce the material. Exercises range from straightforward applications of the theory to problems that are devised to challenge the reader. Questions for further study are provided after selected exercises. Most proofs are given in detail, though a few proofs are omitted since they are beyond the scope of this book.

Fundamentals of the Mechanics of Solids

Springer New York

Seiten xxiii,422

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781493931323

32.09 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9781493931323

32.09 €

(inkl. 7% Mwst)

Lieferstatus

This distinctive textbook aims to introduce readers to the basic structures of the mechanics of deformable bodies, with a special emphasis on the description of the elastic behavior of simple materials and structures composed by elastic beams. The authors take a deductive rather than inductive approach and start from a few first, foundational principles. A wide selection of exercises, many with hints and solutions, are provided throughout and organized in a way that will allow readers to form a link between abstract mathematical concepts and real-world applications.

The text begins with the definition of bodies and deformations, keeping the kinematics of rigid bodies as a special case; the authors also distinguish between material and spatial metrics, defining each one in the pertinent space. Subsequent chapters cover observers and classes of possible changes; forces, torques, and related balances, which are derived from the invariance under classical changes in observers of the power of the external actions over a body, rather than postulated a priori; constitutive structures; variational principles in linear elasticity; the de Saint-Venant problem; yield criteria and a discussion of their role in the representation of material behavior; and an overview of some bifurcation phenomena, focusing on the Euler rod. An appendix on tensor algebra and tensor calculus is included for readers who need a brief refresher on these topics.

*Fundamentals of the Mechanics of Solids* is primarily intended for graduate and advanced undergraduate students in various fields of engineering and applied mathematics. Prerequisites include basic courses in calculus, mathematical analysis, and classical mechanics.

Galois Cohomology

Springer Berlin Heidelberg

Seiten x,211

Erscheinungsjahr 1997

Einband: Hardcover

ISBN 9783540421924

26.74 €

(inkl. 7% Mwst)
This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.

Erscheinungsjahr 1997

Einband: Hardcover

ISBN 9783540421924

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Galois Cohomology

Springer Berlin Heidelberg

Seiten x,211

Erscheinungsjahr 1997

Einband: Softcover

ISBN 9783642638664

26.74 €

(inkl. 7% Mwst)
This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.

Erscheinungsjahr 1997

Einband: Softcover

ISBN 9783642638664

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Galois Theory

Springer New York

Seiten xiv,176

Erscheinungsjahr 1998

Einband: Softcover

ISBN 9780387985411

26.74 €

(inkl. 7% Mwst)

Erscheinungsjahr 1998

Einband: Softcover

ISBN 9780387985411

26.74 €

(inkl. 7% Mwst)

Lieferstatus

A clear, efficient exposition of this topic with complete proofs and exercises, covering cubic and quartic formulas; fundamental theory of Galois theory; insolvability of the quintic; Galoiss Great Theorem; and computation of Galois groups of cubics and quartics. Suitable for first-year graduate students, either as a text for a course or for study outside the classroom, this new edition has been completely rewritten in an attempt to make proofs clearer by providing more details. It now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between polygons and their symmetry groups and polynomials and their Galois groups - an analogy which serves to help readers organise the various field theoretic definitions and constructions. The text is rounded off by appendices on group theory, ruler-compass constructions, and the early history of Galois Theory. The exposition has been redesigned so that the discussion of solvability by radicals now appears later and several new theorems not found in the first edition are included.

Galois Theory

Springer New York

Seiten xiv,212

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9780387875743

21.39 €

(inkl. 7% Mwst)
Galois theory is a mature mathematical subject of particular beauty. Any Galois theory book written nowadays bears a great debt to Emil Artins classic text `Galois Theory,` and this book is no exception. While Artins book pioneered an approach to Galois theory that relies heavily on linear algebra, this books author takes the linear algebra emphasis even further. This special approach to the subject together with the clarity of its presentation, as well as the choice of topics covered, has made the first edition of this book a more than worthwhile addition to the literature on Galois Theory. The second edition, with a new chapter on transcendental extensions, will only further serve to make the book appreciated by and approachable to undergraduate and beginning graduate math majors.

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9780387875743

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Gems of Combinatorial Optimization and Graph Algorithms

Springer International Publishing

Seiten x,150

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319249704

37.44 €

(inkl. 7% Mwst)

Erscheinungsjahr 2015

Einband: Hardcover

ISBN 9783319249704

37.44 €

(inkl. 7% Mwst)

Lieferstatus

Are you looking for new lectures for your course on algorithms, combinatorial optimization, or algorithmic game theory? Maybe you need a convenient source of relevant, current topics for a graduate student or advanced undergraduate student seminar? Or perhaps you just want an enjoyable look at some beautiful mathematical and algorithmic results, ideas, proofs, concepts, and techniques in discrete mathematics and theoretical computer science?

*Gems of Combinatorial Optimization and Graph Algorithms *is a handpicked collection of up-to-date articles, carefully prepared by a select group of international experts, who have contributed some of their most mathematically or algorithmically elegant ideas. Topics include longest tours and Steiner trees in geometric spaces, cartograms, resource buying games, congestion games, selfish routing, revenue equivalence and shortest paths, scheduling, linear structures in graphs, contraction hierarchies, budgeted matching problems, and motifs in networks.

This volume is aimed at readers with some familiarity of combinatorial optimization, and appeals to researchers, graduate students, and advanced undergraduate students alike.

Gems of Geometry

Springer Berlin Heidelberg

Seiten xiii,325

Erscheinungsjahr 2012

Einband: Hardcover

ISBN 9783642309632

21.39 €

(inkl. 7% Mwst)

Erscheinungsjahr 2012

Einband: Hardcover

ISBN 9783642309632

21.39 €

(inkl. 7% Mwst)

Lieferstatus

Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author`s infectious enthusiasm is put to use in explaining many of the key concepts in the field, starting with the Golden Number and taking the reader on a geometrical journey via Shapes and Solids, through the Fourth Dimension, finishing up with Einstein`s Theories of Relativity.

Equally suitable as a gift for a youngster or as a nostalgic journey back into the world of mathematics for older readers, John Barnes` book is the perfect antidote for anyone whose maths lessons at school are a source of painful memories. Where once geometry was a source of confusion and frustration, Barnes brings enlightenment and entertainment.

In this second edition, stimulated by recent lectures at Oxford, further material and extra illustrations have been added on many topics including Coloured Cubes, Chaos and Crystals.

General Galois Geometries

Springer London

Seiten xvii,409

Erscheinungsjahr 2016

Einband: Hardcover

ISBN 9781447167884

69.54 €

(inkl. 7% Mwst)

*General Galois Geometries* is suitable for PhD students and researchers in combinatorics and geometry. The separate chapters can be used for courses at postgraduate level.

Erscheinungsjahr 2016

Einband: Hardcover

ISBN 9781447167884

69.54 €

(inkl. 7% Mwst)

Lieferstatus

This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume).

This revised edition includes much updating and new material. It is a mostly self-contained study of classical varieties over a finite field, related incidence structures and particular point sets in finite n-dimensional projective spaces.

General Topology

Chapters 510

Springer Berlin Heidelberg

Seiten iv,363

Erscheinungsjahr 1989

Einband: Softcover

ISBN 9783540645634

26.74 €

(inkl. 7% Mwst)
This is the softcover reprint of the 1974 English translation of the later chapters of Bourbakis Topologie Generale. Initial chapters study subgroups and quotients of R, real vector spaces and projective spaces, and additive groups Rn. Analogous properties are then studied for complex numbers. Later chapters illustrate the use of real numbers in general topology and discuss various topologies of function spaces and approximation of functions.

Erscheinungsjahr 1989

Einband: Softcover

ISBN 9783540645634

26.74 €

(inkl. 7% Mwst)

Lieferstatus

General Topology

Chapters 1-4

Springer Berlin Heidelberg

Seiten vii,437

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9783540642411

26.74 €

(inkl. 7% Mwst)
This is the softcover reprint of the 1971 English translation of the first four chapters of Bourbakis Topologie Generale. It gives all basics of the subject, starting from definitions. Important classes of topological spaces are studied, and uniform structures are introduced and applied to topological groups. In addition, real numbers are constructed and their properties established.

Erscheinungsjahr 1995

Einband: Softcover

ISBN 9783540642411

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Geometric Integration Theory

Birkhäuser Boston

Seiten xvi,340

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780817646769

32.09 €

(inkl. 7% Mwst)
This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.

Erscheinungsjahr 2008

Einband: Hardcover

ISBN 9780817646769

32.09 €

(inkl. 7% Mwst)

Lieferstatus

Geometric Invariant Theory

Springer Berlin Heidelberg

Seiten xiv,294

Erscheinungsjahr 1994

Einband: Hardcover

ISBN 9783540569633

80.24 €

(inkl. 7% Mwst)
This standard reference on applications of invariant theory to the construction of moduli spaces is a systematic exposition of the geometric aspects of classical theory of polynomial invariants. This new, revised edition is completely updated and enlarged with an additional chapter on the moment map by Professor Frances Kirwan. It includes a fully updated bibliography of work in this area.

Erscheinungsjahr 1994

Einband: Hardcover

ISBN 9783540569633

80.24 €

(inkl. 7% Mwst)

Lieferstatus

Geometric Invariant Theory

Springer Berlin Heidelberg

Seiten xiv,294

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9783642634000

80.24 €

(inkl. 7% Mwst)
This standard reference on applications of invariant theory to the construction of moduli spaces is a systematic exposition of the geometric aspects of classical theory of polynomial invariants. This new, revised edition is completely updated and enlarged with an additional chapter on the moment map by Professor Frances Kirwan. It includes a fully updated bibliography of work in this area.

Erscheinungsjahr 1994

Einband: Softcover

ISBN 9783642634000

80.24 €

(inkl. 7% Mwst)

Lieferstatus

Geometric Measure Theory

Springer Berlin Heidelberg

Geometry

Springer London

Seiten xii,313

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9781852330583

18.18 €

(inkl. 7% Mwst)

Erscheinungsjahr 2001

Einband: Softcover

ISBN 9781852330583

18.18 €

(inkl. 7% Mwst)

Lieferstatus

Intended to introduce readers to the major geometrical topics taught at undergraduate level in a manner that is both accessible and rigorous, the author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them.

Geometry and Physics

Springer Berlin Heidelberg

Seiten xiv,217

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783642420702

26.74 €

(inkl. 7% Mwst)
`Geometry and Physics` addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.

Erscheinungsjahr 2009

Einband: Softcover

ISBN 9783642420702

26.74 €

(inkl. 7% Mwst)

Lieferstatus

Geometry and Physics

Springer Berlin Heidelberg

Seiten xiv,217

Erscheinungsjahr 2009

Einband: Hardcover

ISBN 9783642005404

26.74 €

(inkl. 7% Mwst)
`Geometry and Physics` addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.

Erscheinungsjahr 2009

Einband: Hardcover

ISBN 9783642005404

26.74 €

(inkl. 7% Mwst)

Lieferstatus