Convexity

An Analytic Viewpoint

Nonfiction, Science & Nature, Mathematics, Algebra, Science
Cover of the book Convexity by Barry Simon, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Barry Simon ISBN: 9781139637909
Publisher: Cambridge University Press Publication: May 19, 2011
Imprint: Cambridge University Press Language: English
Author: Barry Simon
ISBN: 9781139637909
Publisher: Cambridge University Press
Publication: May 19, 2011
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Statistics in Corpus Linguistics by Barry Simon
Cover of the book Cardiopulmonary Bypass by Barry Simon
Cover of the book Euripides' Medea by Barry Simon
Cover of the book Culpable Carelessness by Barry Simon
Cover of the book Actors and Acting in Shakespeare's Time by Barry Simon
Cover of the book A History of Law in Europe by Barry Simon
Cover of the book Legal Foundations of Tribunals in Nineteenth Century England by Barry Simon
Cover of the book Bacterial Physiology and Metabolism by Barry Simon
Cover of the book A Student's Guide to Data and Error Analysis by Barry Simon
Cover of the book Handel on the Stage by Barry Simon
Cover of the book Surface Diffusion by Barry Simon
Cover of the book Performance Analysis of Complex Networks and Systems by Barry Simon
Cover of the book The Ontology of Emotions by Barry Simon
Cover of the book Just Satisfaction under the European Convention on Human Rights by Barry Simon
Cover of the book Public Health by Barry Simon
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy