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Abstract algebra

Author: David Steven Dummit; Richard M Foote
Publisher: Hoboken, NJ : John Wiley & Sons, Inc., [2004] ©2004
Edition/Format:   Print book : English : Third editionView all editions and formats
Summary:
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  Read more...
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David Steven Dummit; Richard M Foote
ISBN: 0471433349 9780471433347
OCLC Number: 52559229
Notes: Includes index.
Description: xii, 932 pages : illustrations ; 24 cm
Contents: Part. 1. Group Theory: Introduction to groups --
Subgroups --
Quotient groups and homomorphisms --
Group actions --
Direct and semidirect products and abelian groups --
Further topics in group theory --
Part 2. Ring theory: Introduction to rings --
Euclidean domains, principal ideal domains and unique factorization domains --
Polynomial rings --
Part 3. Modules and vector spaces: Introduction to module theory --
Vector spaces --
Modules over principal ideal domains --
Part. 4. Field theory and Galois theory: Field theory --
Galois theory --
Part 5. An introduction to commutative rings, algebraic geometry, and homological algebra: Commutative rings and algebraic geometry --
Artinian rings, discrete valuation rings, and Dedekind domains --
Introduction to homological algebra and group cohomology --
Part 6. Introduction to the representation theory of finite groups: Representation theory and character theory --
Examples and applications of character theory.
Responsibility: David S. Dummit, University of Vermont, Richard M. Foote, University of Vermont.
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Abstract:

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.  Read more...

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