LEADER 03380nam 22006492 450 001 9910463974603321 005 20151005020621.0 010 $a1-107-45500-6 010 $a1-107-46205-3 010 $a1-107-45983-4 010 $a1-107-46906-6 010 $a1-107-46552-4 010 $a1-107-47267-9 010 $a1-139-00385-2 035 $a(CKB)2670000000497637 035 $a(EBL)1543594 035 $a(OCoLC)913796948 035 $a(SSID)ssj0001062901 035 $a(PQKBManifestationID)12412624 035 $a(PQKBTitleCode)TC0001062901 035 $a(PQKBWorkID)11017782 035 $a(PQKB)11723409 035 $a(UkCbUP)CR9781139003858 035 $a(MiAaPQ)EBC1543594 035 $a(WaSeSS)IndRDA00052713 035 $a(Au-PeEL)EBL1543594 035 $a(CaPaEBR)ebr11066106 035 $a(CaONFJC)MIL801405 035 $a(EXLCZ)992670000000497637 100 $a20110124d2014|||| uy| 0 101 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-$01050660 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910463974603321 996 $aConvex bodies$92480627 997 $aUNINA LEADER 01017nam a2200265 i 4500 001 991000399329707536 008 091013s2009 it b 000 0 ita d 020 $a9788843048960 035 $ab1385155x-39ule_inst 040 $aFacoltà SSPT$bita 082 0 $a361.61 245 03$aLa dimensione territoriale delle politiche sociali in Italia /$ca cura di Yuri Kazepov 260 $aRoma :$bCarocci,$c2009 300 $a286 p. ;$c22 cm 490 0 $aBiblioteca di testi e studi ;$v478 504 $aContiene riferimenti bibliografici p. 262-284 650 4$aWelfare State$zItalia 651 4$aItalia$xPolitica sociale$y1996-2007 700 1 $aKazepov, Yuri 907 $a.b1385155x$b02-04-14$c13-10-09 912 $a991000399329707536 945 $aLE021 361.61 KAZ01.01$g1$i2020000018674$lle021$op$pE28.40$q-$rn$s- $t0$u10$v2$w10$x0$y.i15012839$z13-10-09 996 $aDimensione territoriale delle politiche sociali in Italia$9228446 997 $aUNISALENTO 998 $ale020$b13-10-09$cm$da $e-$fita$git $h3$i0