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.
There is now a
Digital Second Edition of this book. It is available only in
electronic form.
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:
Front matter - PDFCorrections:
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