The Resource Convexity : an analytic viewpoint, Barry Simon
Convexity : an analytic viewpoint, Barry Simon
Resource Information
The item Convexity : an analytic viewpoint, Barry Simon represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Convexity : an analytic viewpoint, Barry Simon represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 "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 HahnBanach 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"
 Language
 eng
 Extent
 ix, 345 pages
 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 KreinMilman theorem
 The strong KreinMilman theorem
 Choquet theory : existence
 Choquet theory : uniqueness
 Complex interpolation
 The BrunnMinkowski inequalities and log concave functions
 Rearrangement inequalities. BrascampLiebLuttinger inequalities ; Rearrangement inequalities
 Majorization. The relative entropy
 Isbn
 9781107007314
 Label
 Convexity : an analytic viewpoint
 Title
 Convexity
 Title remainder
 an analytic viewpoint
 Statement of responsibility
 Barry Simon
 Language
 eng
 Summary
 "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 HahnBanach 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"
 Assigning source
 Provided by publisher
 Cataloging source
 DLC
 http://library.link/vocab/creatorDate
 1946
 http://library.link/vocab/creatorName
 Simon, Barry
 Dewey number
 516/.08
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA639.5
 LC item number
 .S56 2011
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Cambridge tracts in mathematics
 Series volume
 187
 http://library.link/vocab/subjectName

 Convex domains
 Mathematical analysis
 MATHEMATICS / Mathematical Analysis
 Label
 Convexity : an analytic viewpoint, Barry Simon
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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 KreinMilman theorem  The strong KreinMilman theorem  Choquet theory : existence  Choquet theory : uniqueness  Complex interpolation  The BrunnMinkowski inequalities and log concave functions  Rearrangement inequalities. BrascampLiebLuttinger inequalities ; Rearrangement inequalities  Majorization. The relative entropy
 Control code
 703205175
 Dimensions
 24 cm
 Extent
 ix, 345 pages
 Isbn
 9781107007314
 Lccn
 2011008617
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)703205175
 Label
 Convexity : an analytic viewpoint, Barry Simon
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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 KreinMilman theorem  The strong KreinMilman theorem  Choquet theory : existence  Choquet theory : uniqueness  Complex interpolation  The BrunnMinkowski inequalities and log concave functions  Rearrangement inequalities. BrascampLiebLuttinger inequalities ; Rearrangement inequalities  Majorization. The relative entropy
 Control code
 703205175
 Dimensions
 24 cm
 Extent
 ix, 345 pages
 Isbn
 9781107007314
 Lccn
 2011008617
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)703205175
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/ConvexityananalyticviewpointBarry/hU8kSbVr5E/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/ConvexityananalyticviewpointBarry/hU8kSbVr5E/">Convexity : an analytic viewpoint, Barry Simon</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>