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Convexity: An Analytic Viewpoint - Barry Simon
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ISBN: 9781107007314

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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. Barry Simon, Books, Science and Nature, Convexity: An Analytic Viewpoint Books>Science and Nature, Cambridge University Press

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Convexity: An Analytic Viewpoint (Cambridge Tracts in Mathematics) - Barry Simon
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2011, ISBN: 1107007313

[SR: 2522002], Hardcover, [EAN: 9781107007314], Cambridge University Press, Cambridge University Press, Book, [PU: Cambridge University Press], 2011-05-19, Cambridge University Press, Convexity is important in theoretical aspects of mathematics and also for economists and physicists...., 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278337, Calculus & Mathematical Analysis, 278339, Complex Analysis, 278340, Differential Equations, 278342, Functional Analysis, 278346, Real Analysis, 278347, Vector & Tensor Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 570936, Geometry, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Convexity: An Analytic Viewpoint (Cambridge Tracts in Mathematics) - Barry Simon
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Barry Simon:
Convexity: An Analytic Viewpoint (Cambridge Tracts in Mathematics) - gebunden oder broschiert

2011, ISBN: 1107007313

[SR: 2522002], Hardcover, [EAN: 9781107007314], Cambridge University Press, Cambridge University Press, Book, [PU: Cambridge University Press], 2011-05-19, Cambridge University Press, Convexity is important in theoretical aspects of mathematics and also for economists and physicists...., 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278337, Calculus & Mathematical Analysis, 278339, Complex Analysis, 278340, Differential Equations, 278342, Functional Analysis, 278346, Real Analysis, 278347, Vector & Tensor Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 570936, Geometry, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Convexity - Barry Simon
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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, 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"-- Bücher / Fremdsprachige Bücher / Englische Bücher 978-1-107-00731-4, Cambridge University Press

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Convexity - Barry Simon
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Details zum Buch
Convexity
Autor:

Simon, Barry

Titel:

Convexity

ISBN-Nummer:

A comprehensive look at convexity and its mathematical ramifications.

Detailangaben zum Buch - Convexity


EAN (ISBN-13): 9781107007314
ISBN (ISBN-10): 1107007313
Gebundene Ausgabe
Erscheinungsjahr: 2011
Herausgeber: CAMBRIDGE UNIVERSITY PRESS
Gewicht: 0,631 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 27.06.2011 03:03:16
Buch zuletzt gefunden am 24.05.2017 15:57:00
ISBN/EAN: 9781107007314

ISBN - alternative Schreibweisen:
1-107-00731-3, 978-1-107-00731-4


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