Sphere Packings, Lattices and Groups
The main themes. This book is mainly concerned with the problem of packing spheres in Euclidean space of dimensions 1,2,3,4,5, . . . . Given a large number of equal spheres, what is the most efficient (or densest) way to pack them together? We also study
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Editors M. Artin S.S. Chern J.M. Frohlich E. Heinz H. Hironaka F. Hirzebruch L. Hormander S. Mac Lane C.C. Moore J.K. Moser M. Nagata W. Schmidt D.S. Scott Ya.G. Sinai J. Tits B.L. van der Waerden M. Waldschmidt S. Watanabe Managing Editors M. Berger B. Eckmann
S.R.S. Varadhan
Grundlehren der mathematischen Wissenschaften A Series of Comprehensive Studies in Mathematics
A Selection 200. 20 I . 202. 203. 204. 205. 206. 207. 208. 209. 210. 211. 212. 213. 214. 215. 216. 217. 218. 219. 220. 221. 222. 223. 224. 225. 226. 227. 228. 229. 230. 231. 232. 233. 234. 235. 236. 237. 238. 239. 240. 241. 242. 243. 244. 245. 246. 247.
Dold: Lectures on Algebraic Topology Beck: Continuous Flows in the Plane Schmetterer: Introduction to Mathematical Statistics Schoeneberg: Elliptic Modular Functions Popov: Hyperstability of Control Systems NikoI'skii: Approximation of Functions of Several Variables and Imbedding Theorems Andre: Homologie des Algebres Commutatives Donoghue: Monotone Matrix Functions and Analytic Continuation Lacey: The Isometric Theory of Classical Banach Spaces Ringel: Map Color Theorem Gihman/Skorohod: The Theory of Stochastic Processes I ComfortiNegrepontis: The Theory of Ultrafilters Switzer: Algebraic Topology~Homotopy and Homology Shafarevich: Basic Algebraic Geometry van der Waerden: Group Theory and Quantum Mechanics Schaefer: Banach Lattices and Positive Operators P6lyaiSzego: Problems and Theorems in Analysis II Stenstrom: Rings of Quotients Gihman/Skorohod: The Theory of Stochastic Process II DuvantiLions: Inequalities in Mechanics and Physics Kirillov: Elements of the Theory of Representations Mumford: Algebraic Geometry I: Complex Projective Varieties Lang: Introduction to Modular Forms Bergh/Liifstrom: Interpolation Spaces. An Introduction Gilbarg/Trudinger: Elliptic Partial Differential Equations of Second Order Schiitte: Proof Theory Karoubi: K-Theory, An Introduction Grauert/Remmert: Theorie der Steinschen Riiume Segal/Kunze: Integrals and Operators Hasse: Number Theory Klingenberg: Lectures on Closed Geodesics Lang: Elliptic Curves: Diophantine Analysis Gihman/Skorohod: The Theory of Stochastic Processes III StroocklVaradhan: Multi-dimensional Diffusion Processes Aigner: Combinatorial Theory Dynkin/Yushkevich: Markov Control Processes and Their Applications Grauert/Remmert: Theory of Stein Spaces Kothe: Topological Vector-Spaces II Graham/McGehee: b,says in Commutative Harmonic Analysis Elliott: Probabilistic Number Theory I Elliott: Probabilistic Number Theory II Rudin: Function Theory in the Unit Ball of C" Huppert/Blackburn: Finite Groups I Huppert/Blackburn: Finite Groups II Kubert/Lang: Modular Units Cornfeld/Fomin/Sinai: Ergodic Theory NaimarkiStern: Theory of Group Representations Suzuki: Group Theory I ('ontinued q/fer /11ljt.\
J.H. Conway N.J.A. Sloane
Sphere Packings, Lattices and Groups With Additional Contributions by E. Bannai, J. Leech, S.P. Norton, A.M. Odlyzko, R.A. Parker, L. Queen and B.B. Venkov
With 112 Illustrations
Springer Science+Business Media, LLC
J.H. Conway Ma
