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.
- ISBN10 1584886102
- ISBN13 9781584886105
- Publish Date 1 July 2006 (first published 28 September 1999)
- Publish Status Out of Stock
- Out of Print 24 November 2015
- Publish Country US
- Publisher Taylor & Francis Ltd
- Imprint Chapman & Hall/CRC
- Edition 2nd New edition
- Format Hardcover
- Pages 522
- Language English