Geometry and Convexity: A Study in Mathematical Methods (Dover Books on Mathematics)

Paul J. Kelly, Max L. Weiss

ISBN 10: 0486469808 ISBN 13: 9780486469805

Published by Dover Publications, 2009

Language: English

Condition: Used Soft cover

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Bibliographic Details

Title

Geometry and Convexity: A Study in Mathematical Methods (Dover Books on Mathematics)

Publisher

Dover Publications

Publication Date

2009

Language

English

ISBN 10

0486469808

ISBN 13

9780486469805

Binding

paperback

Edition

2009th Edition.

Condition

Used-Very Good

Signed

Signed by Author(s)

Seller catalogs

Mathematics

About this title

Synopsis

Convex body theory offers important applications in probability and statistics, combinatorial mathematics, and optimization theory. Although this text's setting and central issues are geometric in nature, it stresses the interplay of concepts and methods from topology, analysis, and linear and affine algebra. From motivation to definition, the authors present concrete examples and theorems that identify convex bodies and surfaces and establish their basic properties. The easy-to-read treatment employs simple notation and clear, complete proofs.
Introductory chapters establish the basics of metric topology and the structure of Euclidean n-space. Subsequent chapters apply this background to the dimension, basic structure, and general geometry of convex bodies and surfaces. Concluding chapters illustrate nonintuitive results to offer students a perspective on the wide range of problems and applications in convex body theory.

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