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101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFinite packing and covering /$fKa?roly Bo?ro?czky, Jr$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2004.
215   $a1 online resource (xvii, 380 pages) $cdigital, PDF file(s)
225 1 $aCambridge tracts in mathematics ;$v154
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-80157-5 
320   $aIncludes bibliographical references (p. 357-377) and index.
327   $g. Background --$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.
330   $aFinite arrangements of convex bodies were intensively investigated in the second half of the 20th century. Connections to many other subjects were made, including crystallography, the local theory of Banach spaces, and combinatorial optimisation. This book, the first one dedicated solely to the subject, provides an in-depth state-of-the-art discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments, besides collecting those scattered around in the literature, and provides a comprehensive treatment of problems whose interplay was not clearly understood before. In order to make the material more accessible, each chapter is essentially independent, and two-dimensional and higher-dimensional arrangements are discussed separately. Arrangements of congruent convex bodies in Euclidean space are discussed, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered.
410  0$aCambridge tracts in mathematics ;$v154.
517 3 $aFinite Packing & Covering
606   $aCombinatorial packing and covering
615  0$aCombinatorial packing and covering.
676   $a511/.6
700   $aBo?ro?czky$b K.$01048981
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910457592703321
996   $aFinite packing and covering$92477648
997   $aUNINA