Provides solid coverage of algebraic applications in areas such as combinatorics, graph theory, coding theory, and cryptography using both MapleTM and MATLAB®
Presents a variety of codes, including Hadamard, Reed-Muller, Hamming, BCH, and Reed-Solomon
Covers a variety of cryptosystems, including Shift, Affine, Hill, Vigenere, RSA, ElGamal, and AES
Describes how elliptic curves can be naturally incorporated into the ElGamal cryptosystem
Includes a new chapter on applications of algebra to music
Summary
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 Pólya's and Burnside's theorems. The book also includes a concise review of all prerequisite advanced mathematics.
The use of sophisticated mathematical software packages such as MapleTM and MATLAB® allows students to work though realistic examples without having to struggle with extensive computations.
Notable additions to the third edition include expanded contemporary applications, coverage of the two-message problem, and a full chapter on symmetry in Western music. Several other parts of the book were also updated, including some MATLAB sections due to their adoption of the MuPAD computer algebra system since the last edition. This edition also contains more than 100 new exercises.
This new edition includes the two most widely used mathematical software packages. It builds upon the successful previous editions, favored by instructors and students alike.
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