Sphere Packings

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Springer Science & Business Media, Aug 19, 1999 - Mathematics - 241 pages
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Sphere Packings is one of the most attractive and challenging subjects in mathematics. Almost 4 centuries ago, Kepler studied the densities of sphere packings and made his famous conjecture. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and many surprising connections with othe subjects found. Thus, though some of its original problems are still open, sphere packings has been developed into an important discipline. This book tries to give a full account of this fascinating subject, especially its local aspects, discrete aspects and its proof methods.
  

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Contents

I
1
II
7
III
10
IV
13
V
18
VI
23
VII
25
VIII
31
XXIX
107
XXX
111
XXXI
122
XXXII
124
XXXIII
127
XXXIV
132
XXXV
139
XXXVI
141

IX
33
X
36
XI
41
XII
42
XIII
46
XIV
51
XV
55
XVI
62
XVII
65
XVIII
71
XIX
78
XX
82
XXI
84
XXII
85
XXIII
89
XXIV
91
XXV
95
XXVI
99
XXVII
101
XXVIII
103
XXXVII
142
XXXVIII
143
XXXIX
152
XL
154
XLI
157
XLII
162
XLIII
165
XLIV
176
XLV
178
XLVI
183
XLVII
185
XLVIII
189
XLIX
198
L
199
LI
200
LII
204
LIII
214
LIV
218
LV
237
Copyright

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About the author (1999)

Chuanming Zong is a Professor of Mathematics at Peking University.

John Talbot is a Lecturer and Royal Society University Research Fellow in the Department of Mathematics at University College London.

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