Introduction to Geometric Probability
By (author) Daniel A. Klain Gian-Carlo Rota
Series edited by Luigi A. Radicati di Brozolo
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Introduction to Geometric Probability by Daniel A. Klain
Book DescriptionThe 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 DetailsISBN: 9780521596541
(216mm x 138mm x 11mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 11-Dec-1997
Country of Publication: United Kingdom
Books By Author Daniel A. Klain
Introduction to Geometric Probability, Hardback (December 1997)» View all books by Daniel A. Klain
The basic ideas of the subject and the analogues with enumerative combinatorics are described and exploited.
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