Introduction to Geometric Probability
Gian-Carlo Rota author Daniel A Klain author
Format:Hardback
Publisher:Cambridge University Press
Published:11th Dec '97
Currently unavailable, and unfortunately no date known when it will be back
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- Paperback£50.99(9780521596541)
The basic ideas of the subject and the analogues with enumerative combinatorics are described and exploited.
The basic ideas of geometrical probability and the theory of shape are here presented 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. Geometers and combinatorialists will find this a most stimulating and fruitful story.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.
'Geometers and combinatorialists will find this a stimulating and fruitful tale.' Fachinformationszentrum Karlsruhe
' … a brief and useful introduction …' European Mathematical Society
ISBN: 9780521593625
Dimensions: 216mm x 140mm x 14mm
Weight: 400g
196 pages