Lectures on Choquet's Theorem

A well written, readable and easily accessible introduction to "Choquet theory", which treats the representation of elements of a compact convex set as integral averages over extreme points of the set. The interest in this material arises both from its appealing geometrical nature as well as its extraordinarily wide range of application to areas ranging from approximation theory to ergodic theory. Many of these applications are treated in this book. This second edition is an expanded and updated version of what has become a classic basic reference in the subject.Phelps, Robert R. is the author of 'Lectures on Choquet's Theorem', published 2001 under ISBN 9783540418344 and ISBN 3540418342.