Abstract Algebra: An Interactive Approach - Couverture rigide

Paulsen, William

 
9781420094527: Abstract Algebra: An Interactive Approach
Couverture rigide
ISBN 10 : 1420094521 ISBN 13 : 9781420094527
Editeur : CRC Press Inc, 2009

Synopsis

By integrating the use of GAP and Mathematica®, Abstract Algebra: An Interactive Approach presents a hands-on approach to learning about groups, rings, and fields. Each chapter includes both GAP and Mathematica commands, corresponding Mathematica notebooks, traditional exercises, and several interactive computer problems that utilize GAP and Mathematica to explore groups and rings.

Although the book gives the option to use technology in the classroom, it does not sacrifice mathematical rigor. It covers classical proofs, such as Abel’s theorem, as well as many graduate-level topics not found in most standard introductory texts. The author explores semi-direct products, polycyclic groups, Rubik’s Cube®-like puzzles, and Wedderburn’s theorem. He also incorporates problem sequences that allow students to delve into interesting topics in depth, including Fermat’s two square theorem.

This innovative textbook shows how students can better grasp difficult algebraic concepts through the use of computer programs. It encourages students to experiment with various applications of abstract algebra, thereby obtaining a real-world perspective of this area.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

William Paulsen is a Professor of Mathematics at Arkansas State University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press Inc
Date d'édition
2009
Langue
anglais
ISBN 10 
1420094521
ISBN 13 
9781420094527
Reliure
Relié
Nombre de pages
560
Coordonnées du fabricant
non disponible
Personne responsable
non disponible