Convexity / Edition 1

Convexity / Edition 1

by Roger Webster
     
 

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

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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, USA
Publication date:
12/28/1994
Edition description:
New Edition
Pages:
464
Product dimensions:
9.56(w) x 6.38(h) x 1.24(d)

Table of Contents

Introduction
1The Euclidean space R[superscript n]1
2Convex sets49
3Convex polytopes105
4Linear programming145
5Convex functions193
6Mixed volumes and extremum problems254
7Selected topics316
8Solutions to exercises377
9Notes on further reading425
Bibliography431
Index of symbols and notation437
General index440

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