With rigor and clarity, this upper-level undergraduate text employs numerous exercises, solved problems, and figures to introduce upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in expressing concepts and results from several fields of physics. 1974 edition. Includes 75 figures and 17 tables.

1. Introductory Concepts
2. The Classical Groups
3. Continuous Groups-Lie Groups
4. Lie Groups and Lie Algebras
5. Some Simple Examples
6. Classical Algebras
7. Lie Algebras and Root Spaces
8. Root Spaces and Dynkin Diagrams
9. Root Forms
10. Contractions and Expansions
Bibliography
Author Index
Subject Index