An edition of Convexity (2011)

Convexity

an analytic viewpoint

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Cover of: Convexity by Barry Simon
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Last edited by MARC Bot
September 25, 2020 | History
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An edition of Convexity (2011)

Convexity

an analytic viewpoint

by

  • 0 Ratings
  • 1 Want to read
  • 0 Currently reading
  • 0 Have read

"Convexity of sets and functions are extremely simple notions to define, so it may be somewhat surprising the depth and breadth of ideas that these notions give rise to. It turns out that convexity is central to a vast number of applied areas, including Statistical Mechanics, Thermodynamics, Mathematical Economics, and Statistics,and that many inequalities, including Hl̲der's and Minkowski's inequalities, are related to convexity. An introductory chapter (1) includes a study of regularity properties of convex functions, some inequalities (Hl̲der, Minkowski, and Jensen), the Hahn-Banach theorem as a statement about extending tangents to convex functions, and the introduction of two constructions that will play major roles later in this book: the Minkowski gauge of a convex set and the Legendre transform of a function"--

Publish Date
Publisher
Cambridge University Press
Language
English
Pages
345

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Previews available in: English

Subjects
Convex domains, Mathematical analysis

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Cover of: Convexity
Convexity: an analytic viewpoint
2011, Cambridge University Press
in English
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Book Details

Published in

Camrbridge, UK, New York

Table of Contents

Convex functions and sets
Orlicz spaces
Gauges and locally convex spaces
Separation theorems
Duality : dual topologies, bipolar sets, and Legendre transforms
Monotone and convex matrix functions
Loewner's theorem : a first proof
Extreme points and the Krein-Milman theorem
The strong Krein-Milman theorem
Choquet theory : existence
Choquet theory : uniqueness
Complex interpolation
The Brunn-Minkowski inequalities and log concave functions
Rearrangement inequalities. Brascamp-Lieb-Luttinger inequalities ; Rearrangement inequalities
Majorization. The relative entropy.

Edition Notes

Includes bibliographical references (p. [321]-338) and index.

Series
Cambridge tracts in mathematics -- 187, Cambridge tracts in mathematics -- 187.

Classifications

Dewey Decimal Class
516/.08
Library of Congress
QA639.5 .S56 2011

The Physical Object

Pagination
ix, 345 p. :
Number of pages
345

ID Numbers

Open Library
OL25004423M
Internet Archive
convexityanalyti00bsim
ISBN 10
1107007313
ISBN 13
9781107007314
LCCN
2011008617
OCLC/WorldCat
703205175

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
September 25, 2020 Edited by MARC Bot import existing book
August 21, 2020 Edited by ImportBot import existing book
June 29, 2019 Edited by MARC Bot import existing book
June 29, 2019 Edited by MARC Bot import existing book
October 20, 2011 Created by LC Bot Imported from Library of Congress MARC record.