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Applied Abstract Algebra
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Applied Abstract Algebra

Applied Abstract Algebra

David Joyner, Richard Kreminski, JoAnn Turisco

330 pages, parution le 28/06/2004

Résumé

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.

L'auteur - David Joyner

David Joyner is a professor of mathematics at the U.S. Naval Academy. He is coauthor of Linear Algebra with Applications and editor of Coding Theory and Cryptography: From Enigma and Geheimschreiber to Quantum Theory.

L'auteur - Richard Kreminski

Richard Kreminski is a professor and head of the mathematics department at Texas A & M University-Commerce.

L'auteur - JoAnn Turisco

JoAnn Turisco is an associate professor of mathematics at the United States Naval Academy.

Sommaire

  • Some elementary number theory
  • Polynomials, rings, and fields
  • Error-correcting codes
  • Permutations
  • An introduction to groups
  • Special projects: codes
  • Appendixes by David Joyner
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Caractéristiques techniques

  PAPIER
Éditeur(s) Johns Hopkins
Auteur(s) David Joyner, Richard Kreminski, JoAnn Turisco
Parution 28/06/2004
Nb. de pages 330
Format 18 x 26
Couverture Relié
Poids 890g
Intérieur Noir et Blanc
EAN13 9780801878220
ISBN13 978-0-8018-7822-0

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