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Convexity: An Analytic Viewpoint
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Convexity: An Analytic Viewpoint Hardcover - 2011 - 1st Edition

by Barry Simon


From the publisher

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.

Details

  • Title Convexity: An Analytic Viewpoint
  • Author Barry Simon
  • Binding Hardcover
  • Edition number 1st
  • Edition 1
  • Pages 356
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Date 2011-05-19
  • Illustrated Yes
  • ISBN 9781107007314 / 1107007313
  • Weight 1.4 lbs (0.64 kg)
  • Dimensions 9.1 x 6.2 x 1 in (23.11 x 15.75 x 2.54 cm)
  • Themes
    • Aspects (Academic): Science/Technology Aspects
  • Library of Congress subjects Mathematical analysis, Convex domains
  • Library of Congress Catalog Number 2011008617
  • Dewey Decimal Code 516.08
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Convexity: An Analytic Viewpoint
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Convexity: An Analytic Viewpoint

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Convexity: An Analytic Viewpoint
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Convexity: An Analytic Viewpoint

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Convexity: An Analytic Viewpoint

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

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Convexity
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Convexity

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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
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$62.40
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