Applications of Abstract Algebra with MAPLE

Applications of Abstract Algebra with MAPLE - R. Klima

Date: 19 Apr 2007, 11:28

256 pages

The mathematical concepts of abstract algebra may indeed be considered abstract, but its utility is quite

concrete and continues to grow in importance. Unfortunately, the practical application of abstract algebra

typically involves extensive and cumbersome calculations-often frustrating even the most dedicated

attempts to appreciate and employ its intricacies. Now, however, sophisticated mathematical software

packages help obviate the need for heavy number-crunching and make fields dependent on the algebra more

interesting-and more accessible.Applications of Abstract Algebra with Maple opens the door to

cryptography, coding, Polya counting theory, and the many other areas dependent on abstract algebra. The

authors have carefully integrated Maple V throughout the text, enabling readers to see realistic examples

of the topics discussed without struggling with the computations. But the book stands well on its own if

the reader does not have access to the software.The text includes a first-chapter review of the

mathematics required-groups, rings, and finite fields-and a Maple tutorial in the appendix along with

detailed treatments of coding, cryptography, and Polya theory applications.Applications of Abstract

Algebra with Maple packs a double punch for those interested in beginning-or advancing-careers related to

the applications of abstract algebra. It not only provides an in-depth introduction to the fascinating,

real-world problems to which the algebra applies, it offers readers the opportunity to gain experience in

using one of the leading and most respected mathematical software packages available.

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Part 1

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