Integral Geometry and Geometric Probability

Luis Santalo - Collection Cambridge Mathematical Library

404 pages, parution le 18/10/2004

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Résumé

Now available in the Cambridge Mathematical Library, the classic work from Luis Santalo. Integral Geometry originated with problems on geometrical probability and convex bodies. Its later developments, however, have proved useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). The book is a systematic exposition of the theory and a compilation of the main results in the field. It can be used to complement courses on differential geometry, Lie groups or probability, or differential geometry. It is ideal both as a reference work and as a text for those wishing to enter the field.

Cambridge Mathematical Library

Cambridge University Press has a long and honourable history of publishing in mathematics and counts many classics of the mathematical literature within its list. Some of these titles have been out of print for many years now and yet the methods which they espouse are still of considerable relevance today.

The Cambridge Mathematical Library will provide an inexpensive edition of these titles in a durable paperback format and at a price which will make the books attractive to individuals wishing to add them to their personal libraries. It is intended that certain volumes in the series will have forewords, written by leading experts in the subject, which will place the title in its historical and mathematical context.

L'auteur - Luis Santalo

University of Buenos Aires

Sommaire

Integral Geometry in the Plane
- Convex sets in the plane
- Sets of points and Poisson processes in the plane
- Sets of lines in the plane
- Pairs of points and pairs of lines
- Sets of strips in the plane
- The group of motions in the plane: kinematic density
- Fundamental formulas of Poincaré and Blaschke
- Lattices of figures
General Integral Geometry
- Differential forms and Lie groups
- Density and measure in homogenous spaces
- The affine groups
- The group of motions in E_n
Integral Geometry in E_n
- Convex sets in E_n
- Linear subspaces, convex sets and compact manifolds
- The kinematic density in E_n
- Geometric and statistical applications: stereology
Integral Geometry in Spaces of Constant Curvature
- Noneuclidean integral geometry
- Crofton's formulas and the kinematic fundamental formula in noneuclidean spaces
- Integral geometry and foliated spaces: trends in integral geometry

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Luis Santalo
Collection	Cambridge Mathematical Library
Parution	18/10/2004
Nb. de pages	404
Format	15 x 22,5
Couverture	Broché
Poids	593g
Intérieur	Noir et Blanc
EAN13	9780521523448
ISBN13	978-0-521-52344-8