Cornerstones, Birkhäuser, Boston, 2006.
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
A companion volume Advanced Algebra was published
ISBN: 0-8176-4533-0 for the two-volume set, Basic Algebra and Advanced Algebra.
Preliminaries about the Integers, Polynomials, and Matrices
Vector Spaces over Q, R, and C
Groups and Group Actions
Theory of a Single Linear Transformation
Advanced Group Theory
Commutative Rings and Their Modules
Fields and Galois Theory
Modules over Noncommutative Rings
Appendix: Background Topics
Files Available:Table of Contents - PDF
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) -