9781107007314-1107007313-Convexity: An Analytic Viewpoint (Cambridge Tracts in Mathematics, Series Number 187)

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

ISBN-13: 9781107007314
ISBN-10: 1107007313
Edition: Illustrated
Author: Simon, Barry
Publication date: 2011
Publisher: Cambridge University Press
Format: Hardcover 356 pages
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Book details

ISBN-13: 9781107007314
ISBN-10: 1107007313
Edition: Illustrated
Author: Simon, Barry
Publication date: 2011
Publisher: Cambridge University Press
Format: Hardcover 356 pages

Summary

Acknowledged authors Simon, Barry wrote Convexity: An Analytic Viewpoint (Cambridge Tracts in Mathematics, Series Number 187) comprising 356 pages back in 2011. Textbook and eTextbook are published under ISBN 1107007313 and 9781107007314. Since then Convexity: An Analytic Viewpoint (Cambridge Tracts in Mathematics, Series Number 187) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

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.

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