Introduction to Geometric Probability

Introduction to Geometric Probability

by Daniel A. Klain, Gian-Carlo Rota
     
 

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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

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

Introduction; 1. The Buffon needle problem; 2. Valuation and integral; 3. A discrete lattice; 4. The intrinsic volumes for parallelotopes; 5. The lattice of polyconvex sets; 6. Invariant measures on Grassmannians; 7. The intrinsic volumes for polyconvex sets; 8. A characterization theorem for volume; 9. Hadwiger's characterization theorem; 10. Kinematic formulas for polyconvex sets; 11. Polyconvex sets in the sphere; References; Index of symbols; Index.

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