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Dense sphere packings : = a blueprin...

Hales, Thomas Callister.

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Dense sphere packings : = a blueprint for formal proofs /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Dense sphere packings :/ Thomas C. Hales.
其他題名:	a blueprint for formal proofs /
作者:	Hales, Thomas Callister.
出版者:	Cambridge ;Cambridge University Press, : 2012.,
面頁冊數:	xiv, 271 p. :ill. ;23 cm.
標題:	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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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