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Convexity : an analytic view point
"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, Ma...
| Autor principal: | |
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| Formato: | Printed Book |
| Publicado em: |
Cambridge, UK ; New York :
Cambridge University Press,
2011.
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| Colecção: | Cambridge tracts in mathematics ;
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| Assuntos: |
| LEADER | 01453cam a22001814a 4500 | ||
|---|---|---|---|
| 020 | |a 9781107007314 | ||
| 082 | 0 | 0 | |a 516.08 |b SIM/C |
| 100 | 1 | |a Simon, Barry, | |
| 245 | 1 | 0 | |a Convexity : an analytic view point |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2011. | ||
| 300 | |a ix, 345 p. : |b ill. ; | ||
| 490 | 1 | |a Cambridge tracts in mathematics ; | |
| 520 | |a "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"-- | ||
| 650 | 0 | |a Convex domains. | |
| 650 | 0 | |a Mathematical analysis. | |
| 942 | |c BK | ||
| 999 | |c 36790 |d 36790 | ||
| 952 | |0 0 |1 0 |4 0 |6 516_080000000000000_SIMC |7 0 |8 Stack |9 38964 |a KUCL |b KUCL |c Stack |d 2015-12-17 |l 0 |o 516.08 SIM/C |p 33045 |r 2015-12-17 |w 2015-12-17 |y BK | ||