圖書標籤: 數學 Probability Math Geometry 組閤學 概率論 數學-幾何測度
发表于2024-11-23
Intro to Geometric Probability pdf epub mobi txt 電子書 下載 2024
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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Intro to Geometric Probability pdf epub mobi txt 電子書 下載 2024