9781107007314

Convexity

Format: Hardcover

ISBN13: 9781107007314

Hardcover|9781107007314


Overview

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.

ISBN-13

9781107007314

ISBN-10

1107007313

Weight

1.40 Pounds

Dimensions

6.00 x 0.75 x 9.00 In

List Price

$108.00

Edition

1st Edition

Format

Hardcover

Language

English

Pages

356 pages

Publisher

Cambridge University Press

Published On

2011-05-19



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