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Convexity: An Analytic Viewpoint (Cambridge Tracts in Mathematics)
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...
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.
WHAT'S BONUS TIME?
Normally, new semester rental orders are exactly 125 days.
With “Bonus Time” you can order early and get a FREE extension until 12/19*.
It’s our little way of rewarding you early renters for planning ahead.
But do hurry. The “Bonus Time” offer runs out on 8/8 (11PM PST).
* It can take up to 24 hours for the extension to appear in your account after you receive your textbooks.
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