Applied Abstract Algebra

Applied Abstract Algebra offers an accessible introduction to abstract algebra with a strong emphasis on applications, making it suitable for junior to senior-level students. The book includes numerous examples, solved exercises, and problem sets to reinforce understanding. It covers key topics such as rings, fields, groups, and their practical uses in areas like coding theory, cryptography, and combinatorics. Its clear exposition and applied focus distinguish it from more theoretical treatments of the subject.

Table of Contents

1 Lattices

2 Applications of Lattices

3 Finite Fields and Polynomials

4 Coding Theory

5 Cryptology

6 Applications of Groups

7 Further Applications of Algebra