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

Paul J. Kelly; Max L. Weiss

Softcover

ISBN 10: 0486469808 ISBN 13: 9780486469805

Publisher: Dover Publications, 2009

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.

Edition details

• Publisher: Dover Publications
• Publication date: 2009
• Language: English
• ISBN 10: 0486469808
• ISBN 13: 9780486469805
• Binding: Paperback
• Number of pages: 272