Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.
“The book under review, preserving the physical motivations, has been written to develop, step by step, the techniques and methods used when groups (emphasizing the representations) are applied to describe physical phenomena, with details and explanations that are usually omitted in most textbooks,“ begins Rutwig Campoamor-Stursberg's review of the book
“Lie groups, physics and geometry. An introduction for physicists, engineers and chemists” [Cambridge: Cambridge University Press (2008; Zbl 1157.00009)] by Robert Gilmore.
He summarizes his extensive review as follows:“Resuming, this book constitutes a very competent and comprehensive introduction to Lie theory in physics, dealing with the most important features that students will encounter, and also setting the basis to study more technical texts, like the 1974 monograph by the author. The problems, often dealing with quite important phenomena, help not only to understand the material presented, but also exhibit real physical situations where Lie groups are the natural ansatz to solve the problem. This book further solves some difficulties encountered by beginners in other books, usually written at a more specialized level.”