Convexity / Edition 1

by Roger Webster

Overview

This text provides a comprehensive introduction to convex sets and functions. Requiring only a basic knowledge of analysis and linear algebra, the book clearly discusses topics as diverse as number theory, classical extremum problems, combinatorial geometry, linear programming, game theory, polytopes, bodies of constant width, the gamma function, minimax approximation, and the theory of linear, classical, and matrix inequalities. The book clearly shows how convexity links many different topics in mathematics, from linear algebra to analysis. Suitable for upper-level undergraduate and graduate students, this book offers full solutions to over 200 exercises as well as detailed suggestions for further reading.

Product Details

ISBN-13:	9780198531470
Publisher:	Oxford University Press
Publication date:	01/26/1995
Series:	Oxford Science Publications
Edition description:	New Edition
Pages:	464
Product dimensions:	9.21(w) x 6.14(h) x 1.00(d)

About the Author

Sheffield University

Table of Contents

Introduction1.. The Euclidean space2.. Convex sets3.. Convex polytopes4.. Linear programming5.. Convex functions6.. Mixed volumes and extremum problems7.. Selected topics8.. Solutions to exercises9.. Notes on further readingBibliographyIndex of symbols and notation

Editorial Reviews

"An attractive and appealing introduction to the theory and applications of convex sets and functions." —American Mathematical Monthly

"The book has clearly been written with great care and attention to detail....The accessible nature of the book makes it a very good choice for undergraduate or graduate students. It would also be a nice book on which to base an undergraduate course on convexity."—Mathematical Reviews

From the Publisher