Bulletin of the American Mathematical Society

MathSciNet review: 1567494
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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.

Ralph Alexander, Planes for which the lines are the shortest paths between points, Illinois J. Math. 22 (1978), no. 2, 177–190. MR 490820

Herbert Busemann, Recent synthetic differential geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 54, Springer-Verlag, New York-Berlin, 1970. MR 0296877

L. E. Dor, Potentials and isometric embeddings in $L_{1}$, Israel J. Math. 24 (1976), no. 3-4, 260–268. MR 417756, DOI 10.1007/BF02834756

4.

A. V. Pogorelov, Hilbert's fourth problem, Wiley, New York, 1979.

George Pólya and Gábor Szegő, Problems and theorems in analysis. I, Corrected printing of the revised translation of the fourth German edition, 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. MR 580154

Luis A. Santaló, Integral geometry and geometric probability, Encyclopedia of Mathematics and its Applications, Vol. 1, Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1976. With a foreword by Mark Kac. MR 0433364

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, DOI 10.1007/BF02413320

H. S. Witsenhausen, Metric inequalities and the zonoid problem, Proc. Amer. Math. Soc. 40 (1973), 517–520. MR 390916, DOI 10.1090/S0002-9939-1973-0390916-0

1.

R. Alexander, Planes for which the lines are the shortest paths between points, Illinois J. Math. 22 (1978), 177-190. MR 0490820

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.

G. Pólya and G. Szegö, Problems and theorems in analysis, Vol. II, Springer-Verlag, Berlin and New York, 1978. 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 Buffons "problem of the needle" in its most general form, Acta. Math. 14 (1890), 185-205. MR 1554795

8.

H. S. Witsenhausen, Metric inequalities and the zonoid problem, Proc. Amer. Math. Soc. 40 (1973), 517-520. MR 390916