Abstract Algebra: An Interactive Approach - Rilegato

Paulsen, William

Rilegato

ISBN 10: 1420094521 ISBN 13: 9781420094527

Casa editrice: CRC Press, 2009

Riassunto

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.

Su questo libro

Informazioni sull?autore

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

Dettagli dell'edizione

• Editore: CRC Press
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 1420094521
• ISBN 13: 9781420094527
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 560
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile