Series:

Textbooks in Mathematics

2 total works

Cover of Applied Abstract Algebra with MapleTM and MATLAB®, Third Edition

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.

Cover of Applications of Abstract Algebra with Maple and MATLAB, Second Edition
Eliminating the need for heavy number-crunching, sophisticated mathematical software packages open the door to areas like cryptography, coding theory, and combinatorics that are dependent on abstract algebra. Applications of Abstract Algebra with Maple and MATLAB (R), Second Edition explores these topics and shows how to apply the software programs to abstract algebra and its related fields.

Carefully integrating Maple (TM) and MATLAB (R), this 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 Polya's and Burnside's theorems. Other topics discussed include the Rivest, Shamir, and Adleman (RSA) cryptosystem, digital signatures, primes for security, and elliptic curve cryptosystems.

New to the Second Edition
  • Three new chapters on Vigenere ciphers, the Advanced Encryption Standard (AES), and graph theory as well as new MATLAB and Maple sections
  • Expanded exercises and additional research exercises
  • Maple and MATLAB files and functions available for download online and from a CD-ROM

    With the incorporation of MATLAB, this second edition further illuminates the topics discussed by eliminating extensive computations of abstract algebraic techniques. The clear organization of the book as well as the inclusion of two of the most respected mathematical software packages available make the book a useful tool for students, mathematicians, and computer scientists.