ABSTRACT

Applied Abstract Algebra with MapleTM and MATLAB provides an in-depth introduction to real-world abstract algebraic problems. This popular textbook covers a variety of topics including block designs, coding theory, cryptography, and counting techniques, including Polya's and Burnside's theorems. The book also includes a concise review of all prereq

chapter Chapter 1|28 pages

Preliminary Mathematics

chapter Chapter 2|26 pages

Block Designs

chapter Chapter 3|40 pages

Error-Correcting Codes

chapter Chapter 4|42 pages

BCH Codes

chapter Chapter 5|36 pages

Reed-Solomon Codes

chapter Chapter 6|56 pages

Algebraic Cryptography

chapter Chapter 7|40 pages

Vigenère Ciphers

chapter Chapter 8|42 pages

RSA Ciphers

chapter Chapter 9|48 pages

Elliptic Curve Cryptography

chapter Chapter 10|54 pages

The Advanced Encryption Standard

chapter Chapter 11|30 pages

Pólya Theory

chapter Chapter 12|28 pages

Graph Theory

chapter Chapter 13|40 pages

Symmetry in Western Music