Title: Convex Functions : Constructions, Characterizations and Counterexamples
Publisher: Cambridge University Press
Publication Date: 2010
Language: English
ISBN 10: 0521850053
ISBN 13: 9780521850056
Binding: Hardcover
Condition: As New

About this title

Synopsis

Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces. The book can either be read sequentially for a graduate course, or dipped into by researchers and practitioners. Each chapter contains a variety of specific examples, and over 600 exercises are included, ranging in difficulty from early graduate to research level.

About the Authors

Jonathan M. Borwein is Canada Research Chair in Distributed and Collaborative Research at Dalhousie University, Nova Scotia. He is presently Visiting Professor Laureate at the University of Newcastle, New South Wales.

Jon D. Vanderwerff is a Professor of Mathematics at La Sierra University, California.

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