Introduction to Geometric Probability

Introduction to Geometric Probability

by Daniel A. Klain, Gian-Carlo Rota
     
 

ISBN-10: 052159362X

ISBN-13: 9780521593625

Pub. Date: 12/11/1997

Publisher: Cambridge University Press

Elementary geometry in n-dimensional Euclidean space is a subject that, under the stimulus of computational geometry, is regaining its former position. This is the first textbook that addresses some fundamental problems of Euclidean geometry that have been solved over the last half-century. The authors, who have made significant contributions to the subject, have…  See more details below

Overview

Elementary geometry in n-dimensional Euclidean space is a subject that, under the stimulus of computational geometry, is regaining its former position. This is the first textbook that addresses some fundamental problems of Euclidean geometry that have been solved over the last half-century. The authors, who have made significant contributions to the subject, have taken pains to keep the exposition elementary, making the relationship between it and combinatorics transparent. It should be required reading of anyone in mathematics or computer science who deals with the visual display of information.

Product Details

ISBN-13:
9780521593625
Publisher:
Cambridge University Press
Publication date:
12/11/1997
Series:
Lezioni Lincee Series
Pages:
196
Product dimensions:
5.43(w) x 8.50(h) x 0.55(d)

Table of Contents

Preface
Using this book
1The Buffon needle problem1
2Valuation and integral6
3A discrete lattice13
4The intrinsic volumes for parallelotopes30
5The lattice of polyconvex sets42
6Invariant measures on Grassmannians60
7The intrinsic volumes for polyconvex sets86
8A characterization theorem for volume98
9Hadwiger's characterization theorem118
10Kinematic formulas for polyconvex sets146
11Polyconvex sets in the sphere154
Bibliography168
Index of symbols174
Index176

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