Abstract Algebra / Edition 2

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More About This Textbook

Overview

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.
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Product Details

  • ISBN-13: 9780471368571
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 10/28/1998
  • Edition description: Older Edition
  • Edition number: 2
  • Pages: 912
  • Product dimensions: 7.34 (w) x 9.58 (h) x 1.55 (d)

Table of Contents

GROUP THEORY.

Introduction to Groups.

Subgroups.

Quotient Groups and Homomorphisms.

Group Actions.

Direct and Semidirect Products and Abelian Groups.

Further Topics in Group Theory.

RING THEORY.

Introduction to Rings.

Euclidean Domains, Principal Ideal Domains and Unique Factorization Domains.

Polynomial Rings.

MODULES AND VECTOR SPACES.

Introduction to Module Theory.

Vector Spaces.

Modules over Principal Ideal Domains.

FIELD THEORY AND GALOIS THEORY.

Field Theory.

Galois Theory.

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.

INTRODUCTION TO THE REPRESENTATION THEORY OF FINITE GROUPS.

Representation Theory and Character Theory.

Examples and Applications of Character Theory.

Appendices.

Index.

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Customer Reviews

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Sort by: Showing all of 2 Customer Reviews

  • Anonymous

    Posted February 23, 2013

    Excellent book

    One of the best Algebra books I have used.

    Was this review helpful? Yes  NoThank you for your feedback.   Report this reviewThank you, this review has been flagged.

  • Anonymous

    Posted December 1, 2005

    Best General Algebra Book

    This is simply the best book to learn abstract algebra from. It has really outstanding chapters on group, ring and field theory, but this is not all: linear algebra, commutative algebra and some graduate topics like representation theory, algebraic geometry and homological algebra are presented in a way that is very well suited for self study: lots of motivation, good examples and good exercises. This book is the unique reference for algebra in the qualifying exam syllabus of the math phd program at Harvard University: check their homepage. I think there is not much left to say!

    Was this review helpful? Yes  NoThank you for your feedback.   Report this reviewThank you, this review has been flagged.
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