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The purpose of this book is to present the three basic ideas of geometrical probability, also known as integral geometry, in their natural framework. In this way, the relationship between the subject and enumerative combinatorics is more transparent, and the analogies can be more productively understood. The first of the three ideas is invariant measures on polyconvex sets. The authors then prove the fundamental lemma of integral geometry, namely the kinematic formula. Finally the analogues between invariant measures and finite partially ordered sets are investigated, yielding insights into Hecke algebras, Schubert varieties and the quantum world, as viewed by mathematicians. Geometers and combinatorialists will find this a most stimulating and fruitful story.

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Book Details

ISBN: 9780521596541
ISBN-10: 0521596548
Format: Paperback
(216mm x 138mm x 11mm)
Pages: 196
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 11-Dec-1997
Country of Publication: United Kingdom

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Books By Author Daniel A. Klain

Introduction to Geometric Probability by Daniel A. Klain

Introduction to Geometric Probability

Hardback, December 1997
$157.50