Can be used as supplementary reading in a linear algebra course, or as a primary text in a bridge course that helps students make the transition to courses that emphasize definition and proofs, as well as for an upper level elective.
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.
An Instructor's Manual is available to teachers who adopt Lie Groups as a text. Contact our Service Center for details at 1-800-331-1622.
A hardcover version of this book is available in the MAA store.
* As a textbook, Lie Groups does have DRM. Our DRM protected PDFs can be downloaded to three computers. Please note that the secure PDFs will open only on the Mac and Windows operating systems. iOS (iPad & iPhone) and Linux are not supported at this time. Click here for more information..
Electronic ISBN 9781614446040Contents
|DRM PDF Price|