Cargando…
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, Ma...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2012, ©2011.
|
| Colección: | Cambridge tracts in mathematics ;
187. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ia 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn857791759 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr unu|||||||| | ||
| 008 | 130910t20122011enka ob 001 0 eng d | ||
| 040 | |a UMI |b eng |e pn |c UMI |d COO |d DEBSZ |d N$T |d E7B |d YDXCP |d OSU |d UIU |d REDDC |d IDEBK |d AUD |d OCLCF |d OCLCQ |d UIU |d OCLCQ |d CEF |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO | ||
| 019 | |a 730503514 |a 741453072 |a 776981756 | ||
| 020 | |a 9781139637909 | ||
| 020 | |a 1139637908 | ||
| 020 | |a 9781139078771 |q (electronic bk.) | ||
| 020 | |a 1139078771 |q (electronic bk.) | ||
| 020 | |a 9780511910135 |q (electronic bk.) | ||
| 020 | |a 0511910134 |q (electronic bk.) | ||
| 020 | |a 9781139081047 | ||
| 020 | |a 1139081047 | ||
| 020 | |z 1107007313 | ||
| 020 | |z 9781107007314 | ||
| 029 | 1 | |a AU@ |b 000052007211 | |
| 029 | 1 | |a DEBBG |b BV041432337 | |
| 029 | 1 | |a DEBSZ |b 37269943X | |
| 029 | 1 | |a DEBSZ |b 398282498 | |
| 035 | |a (OCoLC)857791759 |z (OCoLC)730503514 |z (OCoLC)741453072 |z (OCoLC)776981756 | ||
| 037 | |a CL0500000287 |b Safari Books Online | ||
| 050 | 4 | |a QA639.5 |b .S56 2011 | |
| 072 | 7 | |a MAT |x 012000 |2 bisacsh | |
| 072 | 7 | |a PBK |2 bicssc | |
| 082 | 0 | 4 | |a 516/.08 |2 22 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Simon, Barry, |d 1946- | |
| 245 | 1 | 0 | |a Convexity : |b an analytic viewpoint / |c Barry Simon. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2012, ©2011. | ||
| 300 | |a 1 online resource : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge tracts in mathematics ; |v 187 | |
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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 Krein-Milman theorem -- The strong Krein-Milman theorem -- Choquet theory : existence -- Choquet theory : uniqueness -- Complex interpolation -- The Brunn-Minkowski inequalities and log concave functions -- Rearrangement inequalities. Brascamp-Lieb-Luttinger inequalities ; Rearrangement inequalities -- Majorization. The relative entropy. | |
| 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 Hölder's and Minkowski's inequalities, are related to convexity. An introductory chapter (1) includes a study of regularity properties of convex functions, some inequalities (Hölder, 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"-- |c Provided by publisher. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Convex domains. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 6 | |a Algèbres convexes. | |
| 650 | 6 | |a Analyse mathématique. | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Convex domains |2 fast | |
| 650 | 7 | |a Mathematical analysis |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Simon, Barry, 1946- |t Convexity. |d Cambridge, UK ; New York : Cambridge University Press, 2011 |z 9781107007314 |w (DLC) 2011008617 |w (OCoLC)703205175 |
| 830 | 0 | |a Cambridge tracts in mathematics ; |v 187. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=366124 |z Texto completo |
| 938 | |a ebrary |b EBRY |n ebr10476538 | ||
| 938 | |a EBSCOhost |b EBSC |n 366124 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 312730 | ||
| 938 | |a YBP Library Services |b YANK |n 6902101 | ||
| 938 | |a YBP Library Services |b YANK |n 6939056 | ||
| 938 | |a YBP Library Services |b YANK |n 6943905 | ||
| 938 | |a YBP Library Services |b YANK |n 6940566 | ||
| 994 | |a 92 |b IZTAP | ||