Basic Algebra

Cornerstones, Birkhäuser, Boston, 2006.
ISBN: 0-8176-3248-4.
717+xxii pages.

A companion volume Advanced Algebra was published in 2007.
ISBN: 0-8176-4522-5.

ISBN: 0-8176-4533-0 for the two-volume set, Basic Algebra and Advanced Algebra.

Chapter Titles:

Preliminaries about the Integers, Polynomials, and Matrices
Vector Spaces over Q, R, and C
Inner-Product Spaces
Groups and Group Actions
Theory of a Single Linear Transformation
Multilinear Algebra
Advanced Group Theory
Commutative Rings and Their Modules
Fields and Galois Theory
Modules over Noncommutative Rings

Files Available:

Table of Contents - PDF
Preface, Dependence Among Chapters, Guide for the Reader - PDF
Sample Pages of Chapter I, Preliminaries about the Integers, Polynomials, and Matrices - PDF
Sample Pages of Chapter II, Vector Spaces over Q, R, and C - PDF
Sample Pages of Chapter IV, Groups and Group Actions - PDF
Sample Pages of Chapter VIII, Commutative Rings and Their Modules - PDF
Sample Pages of Chapter IX, Fields and Galois Theory - PDF

Corrections:

A short list of corrections appears in the file below.

Corrections (6/13/07) - PDF

Last modified: 11/5/07