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101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aConvex bodies $ethe Brunn-Minkowski theory /$fRolf Schneider, Albert-Ludwigs-Universitat Freiburg, Germany$b[electronic resource]
205   $aSecond edition.
210  1$aCambridge :$cCambridge University Press,$d2014.
215   $a1 online resource (xxii, 736 pages) $cdigital, PDF file(s)
225 1 $aEncyclopedia of mathematics and its applications ;$vvolume 151
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a1-107-47368-3 
311   $a1-107-60101-0 
320   $aIncludes bibliographical references and indexes.
327   $aBasic convexity -- Boundary structure -- Minkowski addition -- Support measures and intrinsic volumes -- Mixed volumes and related concepts -- Valuations on convex bodies -- Inequalities for mixed volumes -- Determination by area measures and curvatures -- Extensions and analogues of the Brunn--Minkowski theory -- Affine constructions and inequalities.
330   $aAt the heart of this monograph is the Brunn-Minkowski theory, which can be used to great effect in studying such ideas as volume and surface area and their generalizations. In particular, the notions of mixed volume and mixed area measure arise naturally and the fundamental inequalities that are satisfied by mixed volumes are considered here in detail. The author presents a comprehensive introduction to convex bodies, including full proofs for some deeper theorems. The book provides hints and pointers to connections with other fields and an exhaustive reference list. This second edition has been considerably expanded to reflect the rapid developments of the past two decades. It includes new chapters on valuations on convex bodies, on extensions like the Lp Brunn-Minkowski theory, and on affine constructions and inequalities. There are also many supplements and updates to the original chapters, and a substantial expansion of chapter notes and references.
410  0$aEncyclopedia of mathematics and its applications ;$vv. 151.
606   $aConvex bodies
615  0$aConvex bodies.
676   $a516.3/74
700   $aSchneider$b Rolf$f1940-$01140742
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910787619903321
996   $aConvex bodies$93703093
997   $aUNINA