Abstract Algebra: An Interactive Approach (Textbooks in Mathematics) - Hardcover

Paulsen, William

Hardcover

ISBN 10: 1420094521 ISBN 13: 9781420094527

Publisher: CRC Press, 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.

About this title

About the Author

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

Edition details

• Publisher: CRC Press
• Publication date: 2009
• Language: English
• ISBN 10: 1420094521
• ISBN 13: 9781420094527
• Binding: Hardcover
• Edition number: 1
• Number of pages: 560