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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: R. V. Ambartzumian
Title: Combinatorial integral geometry with applications to mathematical stereology
Additional book information: John Wiley & Sons, Somerset, New Jersey, 1982, xvii + 221 pp., $45.00. ISBN 0-4712-7977-3.

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

  • 1. Ralph Alexander, Planes for which the lines are the shortest paths between points, Illinois J. Math. 22 (1978), no. 2, 177–190. MR 490820
  • 2. H. Busemann, Recent synthetic differential geometry, Ergeb. Math. Grenzgeb. no. 54, Springer-Verlag, Berlin and New York, 1970. MR 296877
  • 3. L. E. Dor, Potentials and isometric embeddings in L1, Israel J. Math 24 (1976), 260-268. MR 417756
  • 4. A. V. Pogorelov, Hilbert's fourth problem, Wiley, New York, 1979.
  • 5. George Pólya and Gábor Szegő, Problems and theorems in analysis. I, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 193, Springer-Verlag, Berlin-New York, 1978. Series, integral calculus, theory of functions; Translated from the German by D. Aeppli; Corrected printing of the revised translation of the fourth German edition. MR 580154
  • 6. L. A. Santaló, Integral geometry and geometric probability, Addison-Wesley, Reading, Mass., 1976. MR 433364
  • 7. J. J. Sylvester, On a funicular solution of Buffon’s “problem of the needle” in its most general form, Acta Math. 14 (1890), no. 1, 185–205. MR 1554795,
  • 8. H. S. Witsenhausen, Metric inequalities and the zonoid problem, Proc. Amer. Math. Soc. 40 (1973), 517-520. MR 390916

Review Information:

Reviewer: Ralph Alexander
Journal: Bull. Amer. Math. Soc. 10 (1984), 318-321
American Mathematical Society