Introduction to the Theory of Valuations (Paperback)

Theory of valuations on convex sets is a classical part of convex geometry which goes back at least to the positive solution of the third Hilbert problem by M. Dehn in 1900. Since then the theory has undergone a multifaceted development. The author discusses some of Hadwiger's results on valuations on convex compact sets that are continuous in the Hausdorff metric. The book also discusses the Klain-Schneider theorem as well as the proof of McMullen's conjecture, which led subsequently to many further applications and advances in the theory. The last section gives an overview of more recent developments in the theory of translation-invariant continuous valuations, some of which turn out to be useful in integral geometry. This book grew out of lectures that were given in August 2015 at Kent State University in the framework of the NSF CBMS conference ``Introduction to the Theory of Valuations on Convex Sets''. Only a basic background in general convexity is assumed.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	CBMS Regional Conference Series in Mathematics
Release date:	May 2018
Authors:	Semyon Alesker
Dimensions:	254 x 178mm (L x W)
Format:	Paperback
Pages:	88
ISBN-13:	978-1-4704-4359-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Topology > General Promotions
LSN:	1-4704-4359-7
Barcode:	9781470443597

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