Other books of interest

Online books:

American Institute of Mathematics open text book initiative.

You can search for the following books on amazon.com or on abebooks.com. For many books, it is possible to examine the table of contents and sample pages on amazon.com. Less expensive international editions can be found at abebooks.com.

Abstract algebra books:

M. Artin, Algebra, 2nd edition.
P. Cohn, Basic Algebra and Further Algebra and Applications.
D. Dummit and R. Foote, Abstract Algebra, 3rd Edition.
I. Herstein, Topics in Algebra, 2nd Edition.
N. Jacobson, Basic Algebra I and Basic Algebra II, Dover Edition.

Other books:

E. Artin, Galois Theory : Lectures Delivered at the University of Notre Dame. A classic brief account of field theory and Galois theory by a master. Free online!
M. Ronan, Symmetry and the Monster. A surprisingly engaging layman's history of the classification of finite simple groups.
P. Lockhart, A Mathematician's Lament. An essay on mathematics and mathematics education.