Sphere Packings by Chuanming Zong
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.-
Linear Functional Analysis
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An Introduction to Manifolds
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Riemannian Geometry
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Galois Theory
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Symbolic Dynamics
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Stochastic Calculus
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Geometry I
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Galois Cohomology and Class Field Theory
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Mathematical Gauge Theory
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Nonlinear Differential Equations and Dynamical Systems
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Mathematical Analysis I
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Differential Forms and Applications
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Introduction to Partial Differential Equations
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Geometry
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From Elementary Probability to Stochastic Differential Equations with MAPLE (R)
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Applied Stochastic Control of Jump Diffusions
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Probability Essentials
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Real Algebra
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Stochastic Differential Equations
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A Polynomial Approach to Linear Algebra
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Elements of Functional Analysis
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Selected Topics in Partial Differential Equations
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The Essentials of Measure Theory
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On the Theory of Maass Wave Forms
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Potential Theory
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Fluctuations of Levy Processes with Applications
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Discrete Mathematics
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Automorphic Forms
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Matrix Theory
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Frontiers of Numerical Analysis
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Spectra of Graphs
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Polyhedral and Algebraic Methods in Computational Geometry
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Theory and Numerics of Differential Equations
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Dynamical Systems
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A Course on Tug-of-War Games with Random Noise
From the reviews:
"Problems dealing with sphere packings have attracted the interest of mathematicians for more than three centuriesImportant 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)
| SKU | Unavailable |
| ISBN 13 | 9781475781489 |
| ISBN 10 | 1475781482 |
| Title | Sphere Packings |
| Author | Chuanming Zong |
| Series | Universitext |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2013-04-08 |
| Number of pages | 242 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |