Applied Abstract Algebra 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Joyner, David/ Kreminski, Richard/ Turisco, Joann 作者

Johns Hopkins Univ Pr

译者

2004-4 出版日期

342 页数

$ 85.88 价格

HRD

丛书系列

9780801878220 图书编码

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发表于2024-11-13

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Applied Abstract Algebra 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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With the advent of computers that can handle symbolic manipulations, abstract algebra can now be applied. In this book David Joyner, Richard Kreminski, and Joann Turisco introduce a wide range of abstract algebra with relevant and interesting applications, from error-correcting codes to cryptography to the group theory of Rubik's cube. They cover basic topics such as the Euclidean algorithm, encryption, and permutations. Hamming codes and Reed-Solomon codes used on today's CDs are also discussed. The authors present examples as diverse as "Rotation," available on the Nokia 7160 cell phone, bell ringing, and the game of NIM. In place of the standard treatment of group theory, which emphasizes the classification of groups, the authors highlight examples and computations. Cyclic groups, the general linear group GL( n), and the symmetric groups are emphasized. With its clear writing style and wealth of examples, Applied Abstract Algebra will be welcomed by mathematicians, computer scientists, and students alike. Each chapter includes exercises in GAP (a free computer algebra system) and MAGMA (a noncommercial computer algebra system), which are especially helpful in giving students a grasp of practical examples.

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