Integral geometry and geometric probability /

Saved in:
Bibliographic Details
Author / Creator:SantaloĢ, Luis A. (Luis Antonio), 1911-2001
Imprint:Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, 1976.
Description:xvii, 404 p. : ill. ; 24 cm.
Language:English
Series:Encyclopedia of mathematics and its applications ; v. 1 : Section, Probability
Encyclopedia of mathematics and its applications v. 1.
Subject:Geometric probabilities
Integral geometry
Geometric probabilities.
Integral geometry.
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/129637
Hidden Bibliographic Details
ISBN:0201135000
Notes:Includes indexes.
Bibliography: p. 363-394.
Table of Contents:
  • Part I. Integral Geometry in the Plane
  • 1. Convex sets in the plane
  • 2. Sets of points and Poisson processes in the plane
  • 3. Sets of lines in the plane
  • 4. Pairs of points and pairs of lines
  • 5. Sets of strips in the plane
  • 6. The group of motions in the plane: kinematic density
  • 7. Fundamental formulas of Poincare and Blaschke
  • 8. Lattices of figures
  • Part II. General Integral Geometry
  • 9. Differential forms and Lie groups
  • 10. Density and measure in homogenous spaces
  • 11. The affine groups
  • 12. The group of motions in En
  • Part III. Integral Geometry in En
  • 13. Convex sets in En
  • 14. Linear subspaces, convex sets and compact manifolds
  • 15. The kinematic density in En
  • 16. Geometric and statistical applications: stereology
  • Part IV. Integral Geometry in Spaces of Constant Curvature
  • 17. Noneuclidean integral geometry
  • 18. Crofton's formulas and the kinematic fundamental formula in noneuclidean spaces
  • 19. Integral geometry and foliated spaces: trends in integral geometry