
Applied Abstract Algebra
David Joyner, Richard Kreminski, JoAnn Turisco
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
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 |
Avantages Eyrolles.com
Consultez aussi
- Les meilleures ventes en Graphisme & Photo
- Les meilleures ventes en Informatique
- Les meilleures ventes en Construction
- Les meilleures ventes en Entreprise & Droit
- Les meilleures ventes en Sciences
- Les meilleures ventes en Littérature
- Les meilleures ventes en Arts & Loisirs
- Les meilleures ventes en Vie pratique
- Les meilleures ventes en Voyage et Tourisme
- Les meilleures ventes en BD et Jeunesse
- Sciences Mathématiques Mathématiques par matières Algèbre Algèbre linéaire
- Sciences Mathématiques Mathématiques par matières Algèbre Algèbre et groupes de lie
- Sciences Mathématiques Mathématiques par matières Algèbre Théorie des nombres
- Sciences Mathématiques Mathématiques par matières Algèbre Théorie des groupes
- Sciences Mathématiques Mathématiques par matières Théorie des ensembles