2013, ISBN: 1107007313

[EAN: 9781107007314], Neubuch, [PU: CAMBRIDGE UNIVERSITY PRESS, United Kingdom], Language: English. Brand new Book. Convexity is important in theoretical aspects of mathematics and also f… More...

[EAN: 9781107007314], Neubuch, [PU: CAMBRIDGE UNIVERSITY PRESS, United Kingdom], Language: English. Brand new Book. Convexity is important in theoretical aspects of mathematics and also for economists and physicists. In this monograph the author provides a comprehensive insight into convex sets and functions including the infinite-dimensional case and emphasizing the analytic point of view. Chapter one introduces the reader to the basic definitions and ideas that play central roles throughout the book. The rest of the book is divided into four parts: convexity and topology on infinite-dimensional spaces; Loewner's theorem; extreme points of convex sets and related issues, including the Krein-Milman theorem and Choquet theory; and a discussion of convexity and inequalities. The connections between disparate topics are clearly explained, giving the reader a thorough understanding of how convexity is useful as an analytic tool. A final chapter overviews the subject's history and explores further some of the themes mentioned earlier. This is an excellent resource for anyone interested in this central topic.<

2013, ISBN: 9781107007314

'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… More...

'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 Minkowskigauge of a convex set and the Legendre transform of a function'-- Buch (fremdspr.) Barry Simon gebundene Ausgabe, Cambridge University Press, 21.06.2013, Cambridge University Press, 2013<

2013, ISBN: 1107007313

[EAN: 9781107007314], Neubuch, [PU: Cambridge University Press], MATHEMATICS MATHEMATICAL ANALYSIS, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie … More...

[EAN: 9781107007314], Neubuch, [PU: Cambridge University Press], MATHEMATICS MATHEMATICAL ANALYSIS, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Über den AutorBarry Simon is IBM Professor of Mathematics and Theoretical Physics at the California Institute of Technology.InhaltsverzeichnisPreface 1. Convex functions and sets 2. Orlicz spaces 3. Ga., Books<

2011, ISBN: 1107007313

[EAN: 9781107007314], Neubuch, [SC: 0.0], [PU: Cambridge University Press], MATHEMATICS / MATHEMATICAL ANALYSIS, Druck auf Anfrage Neuware - Printed after ordering - A comprehensive look … More...

[EAN: 9781107007314], Neubuch, [SC: 0.0], [PU: Cambridge University Press], MATHEMATICS / MATHEMATICAL ANALYSIS, Druck auf Anfrage Neuware - Printed after ordering - A comprehensive look at convexity and its mathematical ramifications., Books<

2013, ISBN: 9781107007314

Gebunden, 356 Seiten, 235mm x 157mm x 25mm, Sprache(n): eng A comprehensive look at convexity and its mathematical ramifications.Barry Simon is IBM Professor of Mathematics and Theoretica… More...

Gebunden, 356 Seiten, 235mm x 157mm x 25mm, Sprache(n): eng A comprehensive look at convexity and its mathematical ramifications.Barry Simon is IBM Professor of Mathematics and Theoretical Physics at the California Institute of Technology. Versandkostenfreie Lieferung<