Introduction to Geometric Probability

Klain, Daniel A./ Rota, Gian-Carlo

ISBN 10: 052159362X / ISBN 13: 9780521593625

Edité par Cambridge Univ Pr, 1997

A propos de cet article

178 pages. 9.00x5.75x0.50 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __052159362X

Détails bibliographiques

Titre : Introduction to Geometric Probability

Éditeur : Cambridge Univ Pr

Date d'édition : 1997

Reliure : Hardcover

Etat : Brand New

A propos de ce titre

Synopsis :

The basic ideas of the subject and the analogues with enumerative combinatorics are described and exploited.

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.