Convexity Bibliography (10/05/99)

Prepared by:

Joseph Malkevitch
Mathematics and Computing Department
York College (CUNY)
Jamaica, New York 11451-0001

Email: (for additions, suggestions, and corrections)

Benson, R., Euclidean Geometry and Convexity, McGraw Hill, New York, l966.

Bisztriczky, R., et al (eds.), Polytopes: Abstract, Convex and Computational, Kluwer, Dordrecht, 1994.

Blaschke, W., Kreis und Kugel, Veit, Leipzig,, 1916.

Boltjansky, V. and I. Gohberg, Results and Problems in Combinatorial Geometry, Cambridge U. Press, Cambridge, l985.

Boltyanskii, V., Equivalent and Equidecomposable Figures, D. C. Heath, Boston, 1963.

Boltyanskii, V., Hilbert's Third Problem, Wiley, New York, 1978.

Bonnesen, T. and W. Fenchel, Theorie der Konvexen Korper, Chelsea, New York, l948.

Busemann, H., Convex Surfaces, Wiley, New York, 1958.

Eggleston, H., Convexity, Cambridge U. Press, Cambridge, 1966.

Ewald, G., Combinatorial Convexity and Algebraic Geometry, Springer-Verlag, New York, 1996.

Fejes-Toth, L., Regular Figures Pergamon, London, 1964.

Gardner, R., Geometric Tomography, Cambridge U. Press, New York, 1995.

Goodman, J. and E. Lutwak, J. Malkevitch, R. Pollack, (eds.), Discrete Geometry and Convexity, Annal 440, New York Academy of Sciences, New York, 1985.

Hadwiger, H. and H. Debrunner, V. Klee, Combinatorial Geometry in the Plane, Holt, Rhinehart, and Winston, New York, l964.

Heath, T., The Thirteen Books of Euclid's Elements, Vol. I-III, Dover, New York, 1956.

Hormander, L., Notions of Convexity, Birkhauser, Boston, 1994. (BR>
Kay, D. and M. Breen, (eds), Convexity and Related Combinatorial Geometry, Marcel Dekker, New York, 1982.

Lay, S., Convex Sets and their Applications, Wiley, New York, 1982.

Lyusternik, L., Convex Figures and Polyhedra, Dover, New York, 1963.

Pach, J., and P. Agarwal, Combinatorial Geometry, Wiley, New York, 1995.

Prenowitz, W., and J. Jantosciak, Join Geometries: A Theory of Convex Sets and Linear Geometry, Springer-Verlag, New York, 1979.

Rademacher, H. and H. Toeplitz, The Enjoyment of Mathematics, Princeton U. Press, Princeton, 1957.

Schneider, R., Convex Bodies: The Brunn-Minkowski Theory, Cambridge U. Press, New York, 1993.

Steinitz, E. and H. Rademacher, Vorlesungen uber die Theorie der Polyeder, Springer-Verlag, Berlin, l934.

Valentine, F., Convex Sets, McGraw Hill, New York, 1964.

Yaglom, I., and V. Boltyanskii, Convex Figures, Holt, Rhinehart, and Winston, New York, 1961.

Zong, C., Strange Penomena in Convex and Discrete Geometry, Springer-Verlag, New York, 1996.

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