With the incorporation of MATLAB®, this second edition further illuminates the applications of abstract algebra in areas like combinatorics, graph theory, coding theory, and cryptography. Carefully integrating Maple™ and MATLAB, the book provides an in-depth introduction to real-world abstract algebraic problems. The first chapter offers a concise and comprehensive review of prerequisite advanced mathematics. The next several chapters examine block designs, coding theory, and cryptography while the final chapters cover counting techniques, including Pólya's and Burnside's theorems. Other topics discussed include Reed-Solomon codes, the Rivest, Shamir, and Adleman (RSA) cryptosystem, digital signatures, primes for security, elliptic curve cryptosystems, and the Advanced Encryption Standard (AES).