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The Resource Convex functions and their applications : a contemporary approach, Constantin Niculescu, Lars-Erik Persson

Convex functions and their applications : a contemporary approach, Constantin Niculescu, Lars-Erik Persson

Creator
Contributor
Summary
"Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text aims to present a thorough introduction to contemporary convex function theory, which entails a powerful and elegant interaction between analysis and geometry. A large variety of subjects is covered, from one real variable case (with all its mathematical gems) to some of the most advanced topics such as Choquet's theory, the Prekopa-Leindler type inequalities and their ramifications, the variational approach of partial differential equations and convex programming." "This book can be used for a one-semester graduate course on Convex Functions and Applications, and also as a valuable reference and source of inspiration for researchers working with convexity. The only prerequisites are a background in advanced calculus and linear algebra. Each section ends with exercises, while each chapter ends with comments covering supplementary material and historical information. The authors also include many new results based on their years of experience researching convexity theory."--Jacket
Language
eng
Work
Publication
Extent
1 online resource (xvi, 255 pages)
Contents
  • Convex Functions on Intervals
  • Comparative Convexity on Intervals
  • Convex Functions on a Normed Linear Space
  • Choquet's Theory and Beyond
Isbn
9780387243009
Instance
Label
Convex functions and their applications : a contemporary approach
Title
Convex functions and their applications
Title remainder
a contemporary approach
Statement of responsibility
Constantin Niculescu, Lars-Erik Persson
Creator
Contributor
Subject
Language
eng
Summary
"Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text aims to present a thorough introduction to contemporary convex function theory, which entails a powerful and elegant interaction between analysis and geometry. A large variety of subjects is covered, from one real variable case (with all its mathematical gems) to some of the most advanced topics such as Choquet's theory, the Prekopa-Leindler type inequalities and their ramifications, the variational approach of partial differential equations and convex programming." "This book can be used for a one-semester graduate course on Convex Functions and Applications, and also as a valuable reference and source of inspiration for researchers working with convexity. The only prerequisites are a background in advanced calculus and linear algebra. Each section ends with exercises, while each chapter ends with comments covering supplementary material and historical information. The authors also include many new results based on their years of experience researching convexity theory."--Jacket
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Niculescu, Constantin
Dewey number
515/.8
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA331.5
LC item number
.N53 2006eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1944-
http://library.link/vocab/relatedWorkOrContributorName
Persson, Lars-Erik
Series statement
  • CMS books in mathematics =
  • Ouvrages de mathématiques de la SMC
Series volume
23
http://library.link/vocab/subjectName
  • Convex functions
  • Convex functions
Label
Convex functions and their applications : a contemporary approach, Constantin Niculescu, Lars-Erik Persson
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 241-252) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Convex Functions on Intervals -- Comparative Convexity on Intervals -- Convex Functions on a Normed Linear Space -- Choquet's Theory and Beyond
Control code
209906748
Dimensions
unknown
Extent
1 online resource (xvi, 255 pages)
Form of item
online
Isbn
9780387243009
Lccn
2005932044
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/0-387-31077-0
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-24300-9
Specific material designation
remote
System control number
(OCoLC)209906748
Label
Convex functions and their applications : a contemporary approach, Constantin Niculescu, Lars-Erik Persson
Publication
Bibliography note
Includes bibliographical references (pages 241-252) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Convex Functions on Intervals -- Comparative Convexity on Intervals -- Convex Functions on a Normed Linear Space -- Choquet's Theory and Beyond
Control code
209906748
Dimensions
unknown
Extent
1 online resource (xvi, 255 pages)
Form of item
online
Isbn
9780387243009
Lccn
2005932044
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/0-387-31077-0
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-24300-9
Specific material designation
remote
System control number
(OCoLC)209906748

Subject

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