Bücher der Reihe Oxford Mathematical Monographs

This book presents a survey of the geometric quantization theory of Kostant and Souriau and was first published in 1980. It has been extensively rewritten and brought up to date, with the addition of many new examples.

This book gives a complete and self-contained account of what is known about this subject and is written from a geometrical and analytical point of view, with quantum field theory very much in mind.

Provides an accessible account to the modern study of the geometry of four-manifolds. This title is suitable for postgraduates and research workers. The central theme is that the appropriate geometrical tools for investigating these questions come from mathematical physics: the Yang-Mills theory and anti-self dual connections over four-manifolds.

Suitable for mathematicians, mathematical physicists and theoretical physicists, this book discusses both the mathematics and physics background that motivate the study of the Feynman path integral and Feynman's operational calculus. It also provides detailed proofs of the central results.

This second edition updates and expands the acclaimed first edition, adding a new chapter on a family of symmetric functions depending rationally on two parameters and also a chapter on zonal polynomials. It is available for the first time in paperback.