Convexity

An Analytic Viewpoint

By:

Barry Simon

Format:

Hardback

Series:

Cambridge Tracts in Mathematics

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Description

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. This is an excellent resource for anyone interested in this central topic.

Author Biography:

Barry Simon is IBM Professor of Mathematics and Theoretical Physics at the California Institute of Technology.

Release date Australia

May 19th, 2011

Author

Barry Simon

Audience

Professional & Vocational

Illustrations

Worked examples or Exercises; 3 Halftones, unspecified; 5 Line drawings, unspecified

Pages

356

Series

Cambridge Tracts in Mathematics

Dimensions

157x231x25

ISBN-13

9781107007314

Product ID

10360226

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