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Book Review
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Book Information
Author(s):
Rolf Schneider
Title:
Convex bodies\RM : 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, \"Uber Ovale und Eifl\"achen, Dissertation, M\"unchen, 1887.
- [Br2]
- H.~Brunn, \it Referat \"uber eine Arbeit{\rm :} Exacte Grundlageg f\"ur einer Theorie der Ovale\rm , (S.B. Bayer, ed.), Akad. Wiss., 1894, pp. 93-111.
- [BZ]
- Yu.D.~Burago and V.A.~Zalgaller, \emph{Geometric inequalities}, Springer-Verlag, Berlin, 1988 pp.~285.
- [Lus]
- L.A.~Lusternik, Die Brunn-Minkowskische Ungeleichung f\"ur beliebige messbare Mengen, Dokl. Acad. Sci. USSR \textbf{8} (1935), 55-58.
- [Min1]
- H.~Minkowski, \emph{Theorie der konvexen K\"orper, insbesondere Begr\"undung ihres Ober- fl\"achenbegriffs} vol.~2, Teubner, Leipzig, 1911 pp.~131-229.
- [Min2]
- H.~Minkowski, 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.
- [P]
- G.~Pisier, The volume of convex bodies and Banach space geometry, Cambridge Univ. Press, Cambridge, 1989.
- [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.
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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