The Kepler conjecture : the Hales-Ferguson proof
The Kepler conjecture, one of geometry's oldest unsolved problems, was formulated in 1611 by Johannes Kepler and mentioned by Hilbert in his famous 1900 problem list. The Kepler conjecture states that the densest packing of three-dimensional Euclidean space by equal spheres is attained by the &...
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| פורמט: | Livre numérique |
| שפה: | Anglais |
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New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
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| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme de l'éditeur (Springer) Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Kepler conjecture, the Hales-Ferguson proof, Jeffrey C. Lagarias, editor, New York, NY, Springer Science+Business Media, LLC, 2011, 1 vol. (XIV-456 p.), 978-1-4614-1128-4 • The Kepler Conjecture, Texte imprimé, 9781461411307 |
תוכן הענינים:
- Preface
- Part I, Introduction and Survey
- 1 The Kepler Conjecture and Its Proof, by J. C. Lagarias
- 2 Bounds for Local Density of Sphere Packings and the Kepler Conjecture, by J. C. Lagarias
- Part II, Proof of the Kepler Conjecture
- Guest Editor's Foreword
- 3 Historical Overview of the Kepler Conjecture, by T. C. Hales
- 4 A Formulation of the Kepler Conjecture, by T. C. Hales and S. P. Ferguson
- 5 Sphere Packings III. Extremal Cases, by T. C. Hales
- 6 Sphere Packings IV. Detailed Bounds, by T. C. Hales
- 7 Sphere Packings V. Pentahedral Prisms, by S. P. Ferguson
- 8 Sphere Packings VI. Tame Graphs and Linear Programs, by T. C. Hales
- Part III, A Revision to the Proof of the Kepler Conjecture
- 9 A Revision of the Proof of the Kepler Conjecture, by T. C. Hales, J. Harrison, S. McLaughlin, T. Nipkow, S. Obua, and R. Zumkeller
- Part IV, Initial Papers of the Hales Program
- 10 Sphere Packings I, by T. C. Hales
- 11 Sphere Packings II, by T. C. Hales
- Index of Symbols
- Index of Subjects.