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Bulletin of the American Mathematical Society

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Book Review

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Book Information:

Author: G. Matheron
Title: Random sets and integral geometry
Additional book information: Wiley, New York, 1975, xxiii+261 pp., $18.95.

References [Enhancements On Off] (What's this?)

  • 1. W. Blaschke, Vorlesungen über integral Geometrie, Teubner, Leipzig, 1936-7.
  • 2. G. Buffon, Essai d'arithmétique morale, Supplément à l'Histoire Naturelle, vol. 4, 1777.
  • 3. Gustave Choquet, Theory of capacities, Ann. Inst. Fourier, Grenoble 5 (1953–1954), 131–295 (1955). MR 0080760
  • 4. M. W. Crofton, "Probability", in Encyclopaedia Britannica, 9th ed., 1885.
  • 5. D. G. Kendall, Foundations of a theory of random sets, Stochastic geometry (a tribute to the memory of Rollo Davidson), Wiley, London, 1974, pp. 322–376. MR 0423465
  • 6. M. G. Kendall and P. A. P. Moran, Geometrical probability, Griffin’s Statistical Monographs & Courses, No. 10, Hafner Publishing Co., New York, 1963. MR 0174068
  • 7. J. F. C. Kingman, Random secants of a convex body, J. Appl. Probability 6 (1969), 660–672. MR 0254891
  • 8. Victor Klee, Research Problems: What is the Expected Volume of a Simplex Whose Vertices are Chosen at Random from a Given Convex Body?, Amer. Math. Monthly 76 (1969), no. 3, 286–288. MR 1535340, https://doi.org/10.2307/2316377
  • 9. R. E. Miles, Poisson flats in Euclidean spaces. I. A finite number of random uniform flats, Advances in Appl. Probability 1 (1969), 211–237. MR 0259977, https://doi.org/10.2307/1426218
  • 10. L. A. Santaló, Introduction to integral geometry, Actualités Sci. Ind., no. 1198, Publ. Inst. Math. Univ. Nancago II. Herman et Cie, Paris, 1953. MR 0060840

Review Information:

Reviewer: J. F. C. Kingman
Journal: Bull. Amer. Math. Soc. 81 (1975), 844-847
DOI: https://doi.org/10.1090/S0002-9904-1975-13853-5