Geometry and Convexity: A Study in Mathematical Methods

Geometry and Convexity: A Study in Mathematical Methods

By: Paul J. Kelly, Max L. Weiss

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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.

Reprint of the John Wiley & Sons, New York, 1978 edition.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486469808
ISBN 139780486469805
Author/EditorPaul J. Kelly, Max L. Weiss
Grade levelCollege Senior - Graduate Student
Page Count272
Dimensions5 3/8 x 8 1/2

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