Least action principle of crystal formation of dense packing type and Kepler's conjecture /
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Author / Creator: | Hsiang, Wu Yi, 1937- |
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Imprint: | Singapore ; River Edge, NJ : World Scientific, 2001. |
Description: | 1 online resource (xxi, 402 pages) : illustrations |
Language: | English |
Series: | Nankai tracts in mathematics ; v. 3 Nankai tracts in mathematics ; v. 3. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11119622 |
Table of Contents:
- Foreword; Acknowledgment; List of Symbols; Chapter 1 Introduction; Chapter 2 The Basics of Euclidean and Spherical Geometries and a New Proof of the Problem of Thirteen Spheres; Chapter 3 Circle Packings and Sphere Packings; Chapter 4 Geometry of Local Cells and Specific Volume Estimation Techniques for Local Cells; Chapter 5 Estimates of Total Buckling Height; Chapter 6 The Proof of the Dodecahedron Conjecture; Chapter 7 Geometry of Type I Configurations and Local Extensions; Chapter 8 The Proof of Main Theorem I; Chapter 9 Retrospects and Prospects; References; Index.