Convexity: An Analytic Viewpoint (Cambridge Tracts in Mathematics, Series Number 187) by Simon, Barry

ISBN: 9781107007314
CAMBRIDGE UNIVERSITY PRESS | 21 June 2013
Hardback | 356 pages 
Convexity is important in theoretical aspects of mathematics and also for economists and physicists. In this monograph the author provides a comprehensive insight into convex sets and functions including the infinite-dimensional case and emphasizing the analytic point of view. Chapter one introduces the reader to the basic definitions and ideas that play central roles throughout the book. The rest of the book is divided into four parts: convexity and topology on infinite-dimensional spaces; Loewner's theorem; extreme points of convex sets and related issues, including the Krein-Milman theorem and Choquet theory; and a discussion of convexity and inequalities. The connections between disparate topics are clearly explained, giving the reader a thorough understanding of how convexity is useful as an analytic tool. A final chapter overviews the subject's history and explores further some of the themes mentioned earlier.… Read More

Hard Cover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The Convexity: An Analytic Viewpoint.

Cambridge Univ Pr, 2011. Hardcover. New. 1st edition. 352 pages. 8.98x5.98x0.94 inches.

Cambridge Univ Pr, 2011. Hardcover. New. 1st edition. 352 pages. 8.98x5.98x0.94 inches.

Hardback. New. Convexity is important for theoretical aspects of mathematics and also for economists and theoretical physicists. In this monograph the author provides a comprehensive insight into convex sets and functions including the infinite dimensional case and emphasizing the analytic point of view.