Intro to Geometric Probability

Intro to Geometric Probability pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:Klain/Rota
出品人:
页数:196
译者:
出版时间:2008-1-12
价格:GBP 35.99
装帧:Paperback
isbn号码:9780521596541
丛书系列:
图书标签:
  • 数学 
  • Probability 
  • Math 
  • Geometry 
  • 组合学 
  • 概率论 
  • 数学-几何测度 
  •  
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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.

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