Contemporary Mathematics 2000; 132 pp; softcover Volume: 260 ISBN10: 0821821156 ISBN13: 9780821821152 List Price: US$41 Member Price: US$32.80 Order Code: CONM/260
 The first Summer School of Analysis and Mathematical Physics of the Universidad Nacional Autónoma de México (Cuernavaca) offered graduate and advanced undergraduate students courses on modern topics in the overlap between analysis and physics. This volume contains the expanded notes from the lectures by Brian Hall, Alejandro Uribe, and David Borthwick. The articles introduce readers to mathematical methods of classical and quantum mechanics and the link between these two theories: quantization and semiclassical analysis. Hall writes about holomorphic methods in analysis and mathematical physics and includes exercises. Uribe's lectures covered trace formulae, in particular asymptotic behavior and the relationship between the asymptotics and the geometric properties of the classical system. Borthwick presents an introduction to Kähler quantization, including the moment map, the orbit method, and symmetry and reduction. The exposition in the entire volume is geared to introducing graduate students with a basic knowledge of mathematics into areas of active research. This book is published in cooperation with Sociedad Matemática Mexicana. Readership Graduate students and research mathematicians interested in mathematical physics and analysis. Table of Contents  B. C. Hall  Holomorphic methods in analysis and mathematical physics
 A. Uribe  Trace formulae
 D. Borthwick  Introduction to Kähler quantization
