Student Mathematical Library 2005; 166 pp; softcover Volume: 29 ISBN10: 0821837850 ISBN13: 9780821837856 List Price: US$32 Institutional Members: US$25.60 All Individuals: US$25.60 Order Code: STML/29
 Matrix groups are a beautiful subject and are central to many fields in mathematics and physics. They touch upon an enormous spectrum within the mathematical arena. This textbook brings them into the undergraduate curriculum. It is excellent for a onesemester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups. Matrix Groups for Undergraduates is concrete and exampledriven, with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines rigor and intuition to describe basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, and maximal tori. The volume is suitable for graduate students and researchers interested in group theory. Readership Undergraduates and beginning graduate students interested in group theory. Reviews "this is an excellent, wellwritten textbook which is strongly recommended to a wide audience of readers interested in mathematics and its applications. The book is suitable for a onesemester undergraduate lecture course in matrix groups, and would also be useful supplementary reading for more general group theory courses."  Mathematical Reviews Table of Contents  Why study matrix groups?
 Matrices
 All matrix groups are real matrix groups
 The orthogonal groups
 The topology of matrix groups
 Lie algebras
 Matrix exponentiation
 Matrix groups are manifolds
 The Lie bracket
 Maximal tori
 Bibliography
 Index
