000 01782nam 2200301 a 45 0
001 1134095
008 960229s1996 nyua b 00100 eng
010 $a 96011737
019 1 $a12224459
019 $a 96011737
020 $a0387947345 (soft : alk. paper)
035 $aM12224459
035 $a0012224459
049 00 $aHARZ
050 00 $aQA639.5$b.Z66 1996
082 00 $a516/.08$220
094 00 $kMos$h516.2 Z87S
100 1 $aZong, Chuanming.
245 10 $aStrange phenomena in convex and discrete geometry
/$cChuanming Zong ; edited by James J. Dudziak.
260 $aNew York :$bSpringer,$c1996.
300 $ax, 158 p. :$bill. ;$c24 cm.
490 0 $aUniversitext
504 $aIncludes bibliographical references (p.
[143]-153) and index.
505 0 $a1. Borsuk's Problem -- 2. Finite Packing Problems
-- 3. The Venkov-McMullen Theorem and Stein's Phenomenon --
4. Local Packing Phenomena -- 5. Category Phenomena -- 6.
The Busemann-Petty Problem -- 7. Dvoretzky's Theorem.
520 $aThis book presents some of the most famous
problems of convex and discrete geometry - such as Borsuk's
problem (is it possible to partition any bounded set in an
n-dimensional Euclidean space into n+1 subsets, each of
which is strictly smaller in diameter than the full set?)
and the finite sphere-packing problem (how can one arrange m
nonoverlapping congruent spheres in an n-dimensional
Euclidean space to minimize the volume or surface area of
their convex hull?) - as well as their (at times
astonishing) answers. Though covering some of the most
recent developments in the field, the book is
self-contained, and can be understood by any trained
mathematician.
650 0 $aConvex geometry.
650 0 $aCombinatorial geometry.
700 1 $aDudziak, James Joseph,$d1955-
