Lie Groups: A Problem Oriented Introduction via Matrix Groups (Mathematical Association of America Textbooks) - Hardcover

Pollatsek, Harriet

Hardcover

ISBN 10: 0883857596 ISBN 13: 9780883857595

Publisher: The Mathematical Association of America, 2009

Synopsis

A complete introduction to Lie groups which encourages an active approach to learning.

About this title

From the Back Cover

The work of the Norwegian mathematician Sophus Lie extends ideas of symmetry and leads to many applications in mathematics and physics. Ordinarily, the study of the "objects" in Lie's theory (Lie groups and Lie algebras) requires extensive mathematical prerequisites beyond the reach of the typical undergraduate. By restricting to the special case of matrix Lie groups and relying on ideas from multivariable calculus and linear algebra, this lovely and important material becomes accessible even to college sophomores. Working with Lie's ideas fosters an appreciation of the unity of mathematics and the sometimes surprising ways in which mathematics provides a language to describe and understand the physical world.Lie Groups is an active learning text that can be used by students with a range of backgrounds and interests. The material is developed through 200 carefully chosen problems. This is the only book in the undergraduate curriculum to bring this material to students so early in their mathematical careers.

Edition details

• Publisher: The Mathematical Association of America
• Publication date: 2009
• Language: English
• ISBN 10: 0883857596
• ISBN 13: 9780883857595
• Binding: Hardcover
• Number of pages: 190