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Introduction to Geometric Probability (Lezioni Lincee) by Daniel A. Klain ; Gian-Carlo Rota is a nonfiction available to read on EtoBox.

What is Introduction to Geometric Probability (Lezioni Lincee) about?

Here is the first modern introduction to geometric probability, also known as integral geometry, presented at an elementary level, requiring little more than first-year graduate mathematics. Klein and Rota present the theory of intrinsic volumes due to Hadwiger, McMullen, Santal? and others, along with a complete and elementary proof of Hadwiger's characterization theorem of invariant measures in Euclidean n-space. They develop the theory of the Euler characteristic from an integral-geometric point of view. The authors then prove the fundamental theorem of integral geometry, namely, the kinematic formula. Finally, the analogies between invariant measures on polyconvex sets and measures on order ideals of finite partially ordered sets are investigated. The relationship between convex geometry and enumerative combinatorics motivates much of the presentation. Every chapter concludes with a list of unsolved problems.

Who reads Introduction to Geometric Probability (Lezioni Lincee)?

Author

Daniel A. Klain ; Gian-Carlo Rota

Publisher

Cambridge University Press (Virtual Publishing)

Published

1997

Language

EN

ISBN

9780521596541

Category

nonfiction

Subjects

Mathematics, Stem

Updated

2026-03-24