Cornerstones, Birkhäuser, Boston, 2006.

ISBN: 0-8176-3248-4.

717+xxii pages.

A second printing, identical to the above version on the outside,
appeared in 2015 with a great many changes. It is close in
content to the digital second edition. A discussion of the
differences between the digital second edition and the
second printing of the first edition may be found
here.

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

Appendix: Background Topics

**
Files Available:**

Preface, Dependence Among Chapters, Guide for the Reader - PDF

Index - PDF

**Corrections:**

The final list of corrections to the 2006 version appears in the file
below. Many of the
corrections
were kindly sent to the author by Skip
Garibaldi of Emory University
and Ario
Contact of Shiraz, Iran. The long correction for pages 596-598
resulted
from a discussion with Qiu Ruyue.

Final list of corrections (11/5/2015) -
PDF

Last modified: 3/11/2016