Abstract Algebra (Graduate Texts in Mathematics)

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9781441924506: Abstract Algebra (Graduate Texts in Mathematics)
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A completely reworked new edition of this superb textbook. This key work is 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 Back Cover:

"Abstract Algebra" is a clearly written, self-contained basic algebra text for graduate students, with a generous amount of additional material that suggests the scope of contemporary algebra. The first chapters blend standard contents with a careful introduction to proofs with arrows. The last chapters, on universal algebras and categories, including tripleability, give valuable general views of algebra. There are over 1400 exercises, at varying degrees of difficulty.

For the new edition, the author has completely rewritten the entire text, streamlining the first chapters for rapid access to Galois theory, removing some material, and adding introductions to Groebner bases, Ext and Tor, and other topics.

From a review of the First Edition:

...combines an exceptionally accessible discussion of the basic material with a just as thorough and well-organized treatment of the many additional (advanced) topics included.... represents an outstanding introduction to modern abstract algebra as a whole, with many unique features. It captivates the reader by its remarkable diversity, comprehensiveness, elegant succinctness, and coherence.

- Werner Kleinert, Zentralblatt

 

About the Author:

PIERRE GRILLET is an alumnus of the Ecole Normale Supérieure and a Professor of Mathematics at Tulane University. His main areas of research are the structure and construction of semigroups, category theory, universal algebra, and lattices. He has published more than sixty research papers and monographs, and has written two books.

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Other Popular Editions of the Same Title

9780387715674: Abstract Algebra (Graduate Texts in Mathematics)

Featured Edition

ISBN 10:  0387715673 ISBN 13:  9780387715674
Publisher: Springer, 2007
Hardcover

9780471252436: Algebra (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Wiley-..., 1999
Hardcover

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