Dense Sphere Packings
Dense Sphere Packings
Regular price
Checking stock...
Regular price
Checking stock...
Zusammenfassung
The 400-year-old Kepler conjecture about sphere packings is the oldest problem in discrete geometry. In this book, readers will learn about it through a proof that is much more accessible than the original proof of the theorem.
The feel-good place to buy books
- Free delivery in the UK
- Supporting authors with AuthorSHARE
- 100% recyclable packaging
- B Corp - kinder to people and planet
- Buy-back with World of Books - Sell Your Books
Dense Sphere Packings by Thomas Hales
The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped cannonball arrangement. In this book, a new proof of the conjecture is presented that makes it accessible for the first time to a broad mathematical audience. The book also presents solutions to other previously unresolved conjectures in discrete geometry, including the strong dodecahedral conjecture on the smallest surface area of a Voronoi cell in a sphere packing. This book is also currently being used as a blueprint for a large-scale formal proof project, which aims to check every logical inference of the proof of the Kepler conjecture by computer. This is an indispensable resource for those who want to be brought up to date with research on the Kepler conjecture.
'.. interesting and unusual book ... beautifully written and is full of interesting historical notes. Moreover, each chapter is equipped with a very helpful summary, and many technical arguments are accompanied by a conceptual informal discussion. The book also features a detailed index and a nice bibliography. It is bound to become an indispensable resource for anyone wishing to study Kepler's conjecture.' Zentralblatt MATH
Professor Thomas Hales is Andrew Mellon Professor at the University of Pittsburgh. He is best known for his solution to the 400-year-old Kepler conjecture and is also known for the proof of the honeycomb conjecture. He is currently helping to develop technology that would allow computers to do mathematical proofs. His honors include the Chauvenet Prize of the MAA, the R. E. Moore Prize, the Lester R. Ford Award of the MAA, the Robbins Prize of the AMS and the Fulkerson Prize of the Mathematical Programming Society.
| SKU | Nicht verfügbar |
| ISBN 13 | 9780521617703 |
| ISBN 10 | 0521617707 |
| Titel | Dense Sphere Packings |
| Autor | Thomas Hales |
| Serie | London Mathematical Society Lecture Note Series |
| Buchzustand | Nicht verfügbar |
| Bindungsart | Paperback |
| Verlag | Cambridge University Press |
| Erscheinungsjahr | 2012-09-06 |
| Seitenanzahl | 286 |
| Hinweis auf dem Einband | Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden. |
| Hinweis | Nicht verfügbar |