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, Santalo 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.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!