Overview

This book aims to fill a gap in the literature by introducing Lie theory to junior and senior level undergraduates. In order to achieve this, the author focuses on the so-called classical groups, '' viewed as matrix groups with real, complex, or quaternion entries. This allows them to be studied by elementary methods from calculus and linear algebra. Each chapter is enhanced with numerous exercises, discussion of further results, and historical comments.

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9780387569871

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<p>From the reviews: <p> This is a beautifully clear exposition of the main points of Lie theory, aimed at undergraduates who have calculus and linear algebra. The book is well equipped with examples . The book has a very strong geometric flavor, both in the use of rotation groups and in the connection between Lie algebras and Lie groups. (Allen Stenger, The Mathematical Association of America, October, 2008)<p> Lie theory, basically the study of continuous symmetry, certainly occupies a central position in modern mathematics . In Naive Lie Theory, Stillwell (Univ. of San Franciso) concentrates on the simplest examples and stops short of representation theory . Summing Up: Recommended. Upper-division undergraduates and graduate students. (D. V. Feldman, Choice, Vol. 46 (9), May, 2009)<p> This book provides an introduction to Lie groups and Lie algebras suitable for undergraduates having no more background than calculus and linear algebra. Each chapter concludes with a lively and i

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