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Dense sphere packings : = a blueprin...

Hales, Thomas Callister.

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Dense sphere packings : = a blueprint for formal proofs /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Dense sphere packings :/ Thomas C. Hales.
Reminder of title:	a blueprint for formal proofs /
Author:	Hales, Thomas Callister.
Published:	Cambridge ;Cambridge University Press, : 2012.,
Description:	xiv, 271 p. :ill. ;23 cm.
Subject:	Kepler’s conjecture. -
ISBN:	9780521617703 (pbk.) :

Dense sphere packings : = a blueprint for formal proofs /
Hales, Thomas Callister.

Dense sphere packings :a blueprint for formal proofs /Thomas C. Hales. - Cambridge ;Cambridge University Press,2012. - xiv, 271 p. :ill. ;23 cm. - London Mathematical Society lecture note series ;400. - London Mathematical Society lecture note series ;359..

Includes bibliographical references (p. [261]-263) and indexes.

Close packing --

"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"--P. [4] of cover.

ISBN: 9780521617703 (pbk.) :US60.00

LCCN: 2012538866Subjects--Topical Terms:

2013062
Kepler’s conjecture.

LC Class. No.: QA166.7 / .H35 2012

Dense sphere packings : = a blueprint for formal proofs /
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010 $a 2012538866
020 $a 9780521617703 (pbk.) : $c US60.00
020 $a 0521617707 (pbk.)
020 $a 9781139570510 (ebk.)
020 $a 113957051X (ebk.)
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040 $a BTCTA $b eng
050 0 0 $a QA166.7 $b .H35 2012
100 1 $a Hales, Thomas Callister. $3 2013061
245 1 0 $a Dense sphere packings : $b a blueprint for formal proofs / $c Thomas C. Hales.
260 # $a Cambridge ; $a New York : $b Cambridge University Press, $c 2012.
300 $a xiv, 271 p. : $b ill. ; $c 23 cm.
490 1 0 $a London Mathematical Society lecture note series ; $v 400
504 $a Includes bibliographical references (p. [261]-263) and indexes.
505 0 # $t Close packing -- $t Trigonometry -- $t Volume -- $t Hypermap -- $t Fan -- $t Packing -- $t Local fan -- $t Tame hypermap.
520 # $a "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"--P. [4] of cover.
650 # 0 $a Kepler’s conjecture. $3 2013062
650 # 0 $a Sphere packings. $3 874256
830 0 $a London Mathematical Society lecture note series ; $v 359. $3 1232938