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Table of contents(13 chapters)
About this book
Reviews
From the reviews:
"Problems dealing with sphere packings have attracted the interest of mathematicians for more than three centuries. Important contributions are due to Kepler, Newton and Gregory, Lagrange, Seeber and Gauss, Dirichlet, Hermite, Korkine and Zolotarev, Minkowski, Thue, Vorono\u\i, Blichfeldt, Delone, Davenport, van der Waerden and many living mathematicians. One reason for this interest is the fact that there are many completely different aspects of sphere packings. These include the following: dense lattice and non-lattice packing of spheres in low and in general dimensions, multiple packings, geometric theory of positive definite quadratic forms and reduction theory, reduction theory of lattices and their computational aspects, special lattices such as the Leech lattice and relations to coding, information and group theory, finite packings of spheres, problems dealing with kissing and blocking numbers and other problems of discrete geometry. There is a series of books in which some of these aspects are dealt with thoroughly,...
The merit of Zong's book is that it covers all of the above aspects in a concise, elegant and readable form and thus gives the reader a good view of the whole area. Several of the most recent developments are also included." (Peter M. Gruber, Mathematical Reviews)
Authors, Editors and Affiliations
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Department of Mathematics, University College London, London, UK
John Talbot
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Institute of Mathernatics Chinese Academy of Sciences, PR China
Chuanming Zong
Bibliographic Information
Book Title: Sphere Packings
Authors: Chuanming Zong
Editors: John Talbot
Series Title: Universitext
DOI: https://doi.org/10.1007/b98975
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1999
Hardcover ISBN: 978-0-387-98794-1
Softcover ISBN: 978-1-4757-8148-9
eBook ISBN: 978-0-387-22780-1
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XIV, 242
Topics: Combinatorics, Number Theory