Textbook in PDF format
Considered a classic by many, A First Course in Abstract Algebra is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures.
Table of Contents
Sets and Relations
Groups and Subgroups
Permutations, Cosets, and Direct Products
Homomorphisms and Factor Groups
Rings and Fields
Ideals and Factor Rings
Ectension Fields
Advanced Group Theory
Factorization
Automorphisms and Galois Theory
Appendix: Matrix Algebra