Geometry and Convexity A Study in Mathematical Methods

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

ISBN: 9780486469805 | 0486469808
Cover: Paperback
Copyright: 6/22/2009

Rent

(Recommended)

$10.92

Term

Due

Price

Semester

Dec 13

$11.49

Quarter

Aug 16

$10.92

Short Term

Jul 10

$10.34

*This item is part of an exclusive publisher rental program and requires an additional convenience fee. This fee will be reflected in the shopping cart.
Buy New

Usually Ships in 3-5 Business Days

$15.71

Convex body theory offers important applications in probability and statistics, combinatorial mathematics, and optimization theory. This easy-to-read treatment employs simple notation and clear, complete proofs. From motivation to definition, it features concrete examples and theorems that identify convex bodies and surfaces and establish their basic properties. 1979 edition.

Please wait while the item is added to your bag...

Notations	p. ix
Introductory Metric Topology and Euclidean n-Space	p. 1
The Spaces <$>{\cal V}^n<$> and <$>{\cal E}^n<$>	p. 1
Local Metric Concepts	p. 7
Basic Categories and Relations of Metric Sets; Relative Topology	p. 13
Boundedness, Connectedness, Compactness	p. 20
Continuous Mappings of Metric Sets	p. 30
Connectedness in <$>{\cal E}^1<$>	p. 40
Compactness in <$>{\cal E}^n<$>	p. 44
Basic Distance Variations, Foot in a Set, Diameter, Nearness of Sets	p. 51
The Structure of Euclidean n-Space	p. 60
Linear and Planar Concepts in <$>{\cal E}^n<$>	p. 60
Angles and the Euclidean Inner Product	p. 64
A Review of Some Basic Linear Algebra	p. 68
Affine Concepts	p. 80
Linear and Affine Functions and Invariants	p. 88
Hyperplanes, Half-Spaces, Convexity	p. 92
Dimension and Basic Structure of Convex Bodies and Surfaces	p. 106
Convex Bodies and Surfaces; Set Dimension	p. 107
Surface Connectivity, Foot Projections	p. 117
The General Geometry of Convex Bodies	p. 124
Simplices; Barycentric Coordinates	p. 124
Tangent and Supporting Hyperplanes of a Convex Surface; Regular Points, Corner Points; Hyperplane Separation of Sets	p. 137
Widths of a Set, Support and Width Functions, Convex Hulls	p. 147
Convex Cones; Support and Normal Cones	p. 162
Convex Spans and Independence, Related Classical Theorems	p. 177
The Radon Theorem and Some Helly Theorems	p. 177
Dilatations, Centers, and Centralness	p. 186
Extreme Points, Convex Hulls, the Theorem of Caratheodory	p. 196
Linear Combinations of Sets and the Hausdorff Metric	p. 216
Linear Combinations of Sets	p. 216
Some Separation Properties	p. 227
Hausdorff Distance, Blaschke Selection Theorem	p. 231
Applications of the Hausdorff Metric and the Blaschke Selection Theorem	p. 242
Index	p. 259
Table of Contents provided by Ingram. All Rights Reserved.

FREE SHIPPING

Amazon no longer offers textbook rentals. We do!

Geometry and Convexity A Study in Mathematical Methods

Summary

Table of Contents

Supplemental Materials