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Introduction to Geometric Probability

Name: Introduction to Geometric Probability
Brand: Cambridge University Press
SKU: 02036845
Price: 79.49 EUR
Availability: InStock
Author: Daniel A. KlainGian-Carlo Rota
ISBN: 9780521596541

Daniel A. KlainGian-Carlo Rota

Language

English

Book Paperback

Libristo code: 02036845

Publishers Cambridge University Press, December 1997

The purpose of this book is to present the three basic ideas of geometrical probability, also known... Full description

Libristo code: 02036845

195 b

79.49 € VAT included

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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.