Introduction to Geometric Probability

Daniel A. Klain, Gian-Carlo Rota

ISBN 10: 052159362X / ISBN 13: 9780521593625

Edité par Cambridge University Press, 2009

Zustand: Gut | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 6519168/203

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.

Présentation de l'éditeur: 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.

Détails bibliographiques

Titre : Introduction to Geometric Probability
Éditeur : Cambridge University Press
Date d'édition : 2009
Reliure : Couverture rigide
Etat : Gut