This book is designed to make "Abstract Algebra" as down-to-earth as possible. Using concrete examples such as the complex numbers, integers mod n, polynomials, symmetries, and permutations. We also introduce some of the beautifully general ideas of the theory of groups, rings, and fields. Along the way, we give applications to signal processing, cryptography and coding theory, as well as making connections with other branches of mathematics such as geometry and number theory.
The textbook is provided in three different formats: hyperlinked online version, pdf, and spiral bound copy (printme1.com is recommended for on-demand printing):