Applied Abstract Algebra with Mapletm and Matlab(r)

ISBN-13: 9781482248234 / Angielski / Twarda / 2015 / 539 str.

Richard E. Klima

Opis

Applied Abstract Algebra with Maple^TM and MATLAB^(r) 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 Polya'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 Maple^TM and MATLAB^(r) 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.

Spis treści

Preliminary Mathematics. Block Designs. Error-Correcting Codes. BCH Codes. Reed-Solomon Codes. Algebraic Cryptography. Vigenère Ciphers. RSA Ciphers. Elliptic Curve Cryptography. The Advanced Encryption Standard. Pólya Theory. Graph Theory. Symmetry in Western Music. Bibliography. Hints or Answers for Selected Exercises.