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Pierre Antoine Grillet
Abstract Algebra
Springer US
Erscheinungsjahr 23.11.2010
Taschenbuch
ISBN 978-1-4419-2450-6
Preis 58,80 (inkl. 7% Mwst)
 
 
Lieferstatus  
 

The author has completely reworked this superb textbook for a fully updated new edition. He has reorganized many of the sections, and cut or shortened material which is no longer essential. He has added a chapter on Ext and Tor, as well as some topology. In all this is a new version of a classic that is now fit for purpose, a key text geared to the needs of the graduate student. It covers, with proofs, the usual major branches of groups, rings, fields, and modules. Its inclusive approach means that all of the necessary areas are explored, while the level of detail is ideal for the intended readership. The text tries to promote the conceptual understanding of algebra as a whole, doing so with a masterful grasp of methodology. Despite the abstract subject matter, the author includes a careful selection of important examples, together with a detailed elaboration of the more sophisticated, abstract theories.

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From the reviews of the second edition:

"This book certainly has more than enough material for a two-semester algebra course for first-year graduate students. … The balance among various topics will please some instructors more than others." (Miklós Bóna, MathDL, September, 2007)

"The book under review is the second edition of the author’s sweeping text originally titled ‘Algebra’ … . All together, the second edition of P. A. Grillet’s standard primer is a masterly, clearly written, comprehensive and self-contained algebra text for graduate students, with a plentiful supply of additional advanced material … . Moreover, the book under review, in its didactically oriented disposition, represents an excellent source for teachers and instructors of graduate courses in abstract algebra as well." (Werner Kleinert, Zentralblatt MATH, Vol. 1122 (24), 2007)