MARC Record from harvard_bibliographic_metadata

LEADER: 02274cam a22002774a 4500
001 009499268-1
005 20041112124248.0
008 031029s2004 enk b 001 0 eng
010 $a 2003065450
020 $a0521801575
035 0 $aocm53330936
040 $aDLC$cDLC$dYDX
042 $apcc
050 00 $aQA166.7$b.B67 2004
082 00 $a511/.6$222
100 1 $aBöröczky, K.
245 10 $aFinite packing and covering /$cKároly Böröczky, Jr.
260 $aCambridge, UK ;$aNew York :$bCambridge University Press,$cc2004.
300 $axvii, 380 p. ;$c24 cm.
440 0 $aCambridge tracts in mathematics ;$v154
504 $aIncludes bibliographical references (p. 357-377) and index.
505 00 $g. Background --$gPart I.$tArrangements in Two Dimensions: --$tg$tCongruent domains in the Euclidean plane --$g2.$tTranslative arrangements --$g3.$tParametric density --$g4.$tPackings of circular discs --$g5.$tCoverings by circular discs --$gPart II.$tArrangements in Higher Dimensions --$g6.$tPackings and coverings by spherical balls --$g7.$tCongruent convex bodies --$g8.$tPackings and coverings by unit balls --$g9.$tTranslative arrangements --$g10.$tParametric density.
520 $aFinite arrangements of convex bodies were intensively investigated in the second half of the 20th century. Connections to many other subjects were made, including crystallography, the local theory of Banach spaces, and combinatorial optimisation. This book, the first one dedicated solely to the subject, provides an in-depth state-of-the-art discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments, besides collecting those scattered around in the literature, and provides a comprehensive treatment of problems whose interplay was not clearly understood before. In order to make the material more accessible, each chapter is essentially independent, and two-dimensional and higher-dimensional arrangements are discussed separately. Arrangements of congruent convex bodies in Euclidean space are discussed, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered.
650 0 $aCombinatorial packing and covering.
988 $a20041112
906 $0DLC