Convexity : an analytic viewpoint /
"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, Mathema...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Camrbridge, UK ; New York :
Cambridge University Press,
2011.
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| Series: | Cambridge tracts in mathematics ;
187. |
| Subjects: | |
| Online Access: |
Online Access |
| 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 Hḻder's and Minkowski's inequalities, are related to convexity. An introductory chapter (1) includes a study of regularity properties of convex functions, some inequalities (Hḻder, 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"-- |
Internet
Online AccessHesburgh Library General Collection
| Call Number: |
QA 639.5 .S56 2011
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| Available Request Request a scan of an article or book chapter |