Integral Geometry and Geometric Probability

Front Cover
Cambridge University Press, Oct 28, 2004 - Mathematics - 404 pages
Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments have proved to be 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. The volume can be used to complement courses on differential geometry, Lie groups, or probability or differential geometry. It is ideal both as a reference and for those wishing to enter the field.
 

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Contents

INTEGRAL GEOMETRY IN THE PLANE
1
Part II GENERAL INTEGRAL GEOMETRY
143
Part III INTEGRAL GEOMETRY IN En
215
Part IV INTEGRAL GEOMETRY IN SPACES OF CONSTANT CURVATURE
299
Bibliography and References
363
Author Index
395
Subject Index
399
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