000 02235nam a22003618i 4500
001 CR9781139193894
003 UkCbUP
005 20200124160241.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 111109s2012||||enk o ||1 0|eng|d
020 _a9781139193894 (ebook)
020 _z9780521617703 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 4 _aQA166.7
_b.H35 2012
082 0 4 _a511.6
_222
100 1 _aHales, Thomas Callister,
_eauthor.
245 1 0 _aDense sphere packings :
_ba blueprint for formal proofs /
_cThomas C. Hales.
264 1 _aCambridge :
_bCambridge University Press,
_c2012.
300 _a1 online resource (xiv, 271 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v400
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _a1. Close packing -- 2. Trigonometry -- 3. Volume -- 4. Hypermap -- 5. Fan -- 6. Packing -- -7. Local fan -- 8. Tame hypermap -- Appendix.
520 _aThe 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.
650 0 _aSphere packings.
650 0 _aKepler's conjecture.
776 0 8 _iPrint version:
_z9780521617703
830 0 _aLondon Mathematical Society lecture note series ;
_v400.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139193894
999 _c518551
_d518549