The Kepler Conjecture: The Hales-Ferguson Proof

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.-