Applied abstract algebra with Maple[TM] and MATLAB
著者
書誌事項
Applied abstract algebra with Maple[TM] and MATLAB
（Textbooks in mathematics）
CRC Press, c2016
3rd ed
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注記
"A Chapman & Hall book"
Includes bibliographical references (p. 511-513) and index
[TM] is superscript
内容説明・目次
内容説明
Applied Abstract Algebra with MapleTM 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 MapleTM 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.
目次
Preliminary Mathematics. Block Designs. Error-Correcting Codes. BCH Codes. Reed-Solomon Codes. Algebraic Cryptography. Vigenere Ciphers. RSA Ciphers. Elliptic Curve Cryptography. The Advanced Encryption Standard. Polya Theory. Graph Theory. Symmetry in Western Music. Bibliography. Hints or Answers for Selected Exercises.
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