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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Probability & statistics

• Full title: Introduction to Geometric Probability
• Author: Daniel A. KlainGian-Carlo Rota
• Language: English
• Binding: Hardback
• Number of pages: 196
• EAN: 9780521593625
• ISBN: 052159362X
• ID: 02036715
• Publisher: Cambridge University Press
• Weight: 390 g
• Dimensions: 147 × 267 × 18 mm
• Date of publishing: 11. December 1997

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