Convexity
an analytic viewpoint
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Author
Publication
2011 - Cambridge University Press, Camrbridge, UK, England
Language
English
Word Count
86,250 words, Guess
Page Count
345 pages
Identifiers
- Open LibraryOL25004423M
- ISBN-139781107007314
- ISBN-101107007313
- OCLC Control Number703205175
- OCLC Control Numberconvexityanalyti00bsim
and 1 more
- Library of Congress Control Number2011008617
Classifications
- DDC516/.08
- LCCQA639.5 .S56 2011
Description
"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"--
Series Statement
- Cambridge tracts in mathematics -- 187
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