Abstract Algebra by Pierre Antoine Grillet

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Abstract Algebra by Pierre Antoine Grillet

Summary

This key textbook covers, with proofs, the usual major branches of abstract algebra, with its inclusive approach meaning that all of the necessary areas are explored. This new edition has been completed reworked and revised.

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Abstract Algebra by Pierre Antoine Grillet

About the first edition: “The text is geared to the needs of the beginning graduate student, covering with complete, well-written proofs the usual major branches of groups, rings, fields, and modules...[n]one of the material one expects in a book like this is missing, and the level of detail is appropriate for its intended audience.” (Alberto Delgado, MathSciNet) “This text promotes the conceptual understanding of algebra as a whole, and that with great methodological mastery. Although the presentation is predominantly abstract...it nevertheless features a careful selection of important examples, together with a remarkably detailed and strategically skillful elaboration of the more sophisticated, abstract theories.” (Werner Kleinert, Zentralblatt) For the new edition, the author has completely rewritten the text, reorganized many of the sections, and even cut or shortened material which is no longer essential. He has added a chapter on Ext and Tor, as well as a bit of topology.

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)

SKU Unavailable
ISBN 13 9780387715674
ISBN 10 0387715673
Title Abstract Algebra
Author Pierre Antoine Grillet
Series Graduate Texts In Mathematics
Condition Unavailable
Publisher Springer-Verlag New York Inc.
Year published 2007-07-24
Number of pages 674
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable