Non-Fiction Books:

Convex Functions

Constructions, Characterizations and Counterexamples

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Convex Functions by Jonathan M. Borwein
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Description

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.

Author Biography

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.
Release date Australia
January 14th, 2010
Country of Publication
United Kingdom
Illustrations
10 b/w illus. 640 exercises
Imprint
Cambridge University Press
Pages
532
Dimensions
156x234x41
ISBN-13
9780521850056
Product ID
3485526

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