Abstract Algebra

Abstract Algebra

Pierre Antoine Grillet

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“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 click to read more

Categories:
Mathematics – Algebra

Year:
2007

Edition:
2

Publisher:
Springer

Language:
english

Pages:
674 / 683

ISBN 10:
0387715681

ISBN 13:
9780387715674

Series:
Graduate Texts in Mathematics

File:
PDF, 4.49 MB