Convex Functions: Constructions, Characterizations and Counterexamples (Encyclopedia of Mathematics and its Applications, Series Number 109) - Hardcover

Borwein, Jonathan M.; Vanderwerff, Jon D.

 
9780521850056: Convex Functions: Constructions, Characterizations and Counterexamples (Encyclopedia of Mathematics and its Applications, Series Number 109)
Hardcover
ISBN 10: 0521850053 ISBN 13: 9780521850056
Publisher: Cambridge University Press, 2010

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.

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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.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2010
Language
English
ISBN 10 
0521850053
ISBN 13 
9780521850056
Binding
Hardcover
Edition number
1
Number of pages
532