The orbit method is a useful tool in areas such as Lie theory, group representations, integrable systems, and mathematical physics. Kirillov, who introduced the orbit method in the 1960s, provides a self-contained exposition of the orbit method for non-experts. The book can be used as a text for a graduate course, a handbook for non-experts, and a reference for research mathematicians and mathematical physicists. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)