Chapter I. Groups and counting principles
Chapter II. Fundamentals of group representations
Chapter III. Abstract theory of representations of finite groups
Chapter IV. Representations of concrete finite groups. I: Abelian and Clifford groups
Chapter V. Representations of concrete finite groups. II: Semidirect products and induced representations
Chapter VI. Representations of concrete finite groups. III: The symmetric groups
Chapter VII. Compact groups
Chapter VIII. The structure of compact semisimple groups
Chapter IX. The representations of compact semisimple groups

Barry Simon, I.B.M. Professor of Mathematics and Theoretical Physics at the California Institute of Technology, is the author of several books, including such classics as Methods of Mathematical Physics (with M. Reed) and Functional Integration and Quantum Physics. This new book, based on courses given at Princeton, Caltech, ETH-Zurich, and other universities, is an introductory textbook on representation theory. According to the author, “Two facets distinguish my approach. First, this book is relatively elementary, and second, while the bulk of the books on the subject is written from the point of view of an algebraist or a geometer, this book is written with an analytical flavor”. --- summary provided by publsiher