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Abstract Algebra book cover, ISBN 9780471433347

Abstract Algebra

by Dummit, David S.; Foote, Richard M.

ISBN13: 9780471433347
ISBN10: 0471433349
Additional ISBN(s): 9781118777800, 9788126532285
Edition: 3rd
Format: Hardcover
Copyright: 2003-07-14
Publisher: Wiley

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Summary

Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. * The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.

Author Biography

David S. Dummit: University of Vermont Richard M. Foote: University of Vermont

Table of Contents

Preface.

Preliminaries.

PART I: GROUP THEORY.

Chapter 1. Introduction to Groups.

Chapter 2. Subgroups.

Chapter 3. Quotient Group and Homomorphisms.

Chapter 4. Group Actions.

Chapter 5. Direct and Semidirect Products and Abelian Groups.

Chapter 6.

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