Dense Sphere Packings

A Blueprint for Formal Proofs

Nonfiction, Science & Nature, Mathematics, Topology, Applied
Cover of the book Dense Sphere Packings by Thomas Hales, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Thomas Hales ISBN: 9781139579124
Publisher: Cambridge University Press Publication: September 6, 2012
Imprint: Cambridge University Press Language: English
Author: Thomas Hales
ISBN: 9781139579124
Publisher: Cambridge University Press
Publication: September 6, 2012
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Australia in the Global Economy by Thomas Hales
Cover of the book Problem Fathers in Shakespeare and Renaissance Drama by Thomas Hales
Cover of the book Biodiversity in Environmental Assessment by Thomas Hales
Cover of the book Justice in Asia and the Pacific Region, 1945–1952 by Thomas Hales
Cover of the book Supply Chain Management by Thomas Hales
Cover of the book Women and the Periodical Press in China's Long Twentieth Century by Thomas Hales
Cover of the book A Practical Guide to Private Equity Transactions by Thomas Hales
Cover of the book Irish Essays by Thomas Hales
Cover of the book Eucharist and the Poetic Imagination in Early Modern England by Thomas Hales
Cover of the book The Elements of MATLAB Style by Thomas Hales
Cover of the book Principles of Snow Hydrology by Thomas Hales
Cover of the book Genes, Determinism and God by Thomas Hales
Cover of the book The Cambridge Companion to George Eliot by Thomas Hales
Cover of the book Rotating Relativistic Stars by Thomas Hales
Cover of the book The Brontës in Context by Thomas Hales
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy