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Book Review
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Book Information
Author(s):
Rolf Schneider
Title:
Convex bodies: The Brunn-Minkowski theory
Additional book information:
Encyclopedia of Mathematics and its Applications, vol. 44, Cambridge Univ. Press, Cambridge, 1993, xiii + 490 pp., US$89.95. ISBN 0-521-35220-7
References:
-
- [Br1]
- H. Brunn, Über Ovale und Eiflächen, Dissertation, München, 1887.
- [Br2]
- -, Referat über eine Arbeit: Exacte Grundlageg für einer Theorie der Ovale, (S.B. Bayer, ed.), Akad. Wiss., 1894, pp. 93-111.
- [BZ]
- Yu.D. Burago and V.A. Zalgaller, Geometrie inequalities, Grundlehren Math. Wiss., Springer-Verlag, Berlin, 1988, pp. 285. MR 936419 (89b:52020)
- [Lus]
- L.A. Lusternik, Die Brunn-Minkowskische Ungeleichung für beliebige messbare Mengen, Dokl. Acad. Sci. USSR 8 (1935), 55-58.
- [Min1]
- H. Minkowski, Theorie der konvexen Körper, insbesondere Begründung ihres Oberflächenbegriffs, Ges. Abh., vol. 2, Teubner, Leipzig, 1911, pp. 131-229.
- [Min2]
- -, Geometrie der Zahlen, Teubner, Leipzig, 1910.
- [MSch]
- V.D. Milman and G. Schechtman, Asymptotic theory of finite dimensional normed spaces, Lecture Notes in Math., vol. 1200, Springer, New York, 1986. MR 856576 (87m:46038)
- [P]
- G. Pisier, The volume of convex bodies and Banach space geometry, Cambridge Univ. Press, Cambridge, 1989. MR 1036275 (91d:52005)
- [T-J]
- N. Tomczak-Jaegermann, Banach-Mazur distances and finite dimensional operator ideals, Pitman Monographs, vol. 38, Longman Scientific & Technical, New York and London, 1989. MR 993774 (90k:46039)
Additional Information:
Reviewer(s):
V.
Milman
Review Information:
Journal:
Bull. Amer. Math. Soc.
32
(1995),
261-264.
DOI:
10.1090/S0273-0979-1995-00581-1
PII:
S 0273-0979(1995)00581-1
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