# Integral geometry and geometric probability /

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Author / Creator: | SantaloĢ, Luis A. (Luis Antonio), 1911-2001 |
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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 |

**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