LEADER 01246nam--2200385---450- 001 990006073080203316 005 20150915133752.0 010 $a978-85-89-311-44-1 035 $a000607308 035 $aUSA01000607308 035 $a(ALEPH)000607308USA01 035 $a000607308 100 $a20150706d2007----km-y0itay50------ba 101 $apor 102 $aPT 105 $aaf--||||001yy 200 1 $aEnsino de engenharia$etécnicas para otimização das aulas$fMarcos T. Masetto (Org.)$gClaudio Roberto de Freitas Pacheco...[et al.] 210 $aSão Paulo$cAvercamp Editora$d2007 215 $a206 p.$cill.$d23 cm 225 2 $aSua biblioteca de educação 410 0$12001$aSua biblioteca de educação 607 $aIngegneria$xDidattica [e] Insegnamento$2BNCF 676 $a620.007 702 1$aMASETTO,$bMarcos T. 702 1$aFREITAS PACHECOS,$bClaudio Roberto: de 801 0$aIT$bsalbc$gISBD 912 $a990006073080203316 951 $a620.007 ENS$b778 Crd.$c620$d00330916 959 $aBK 969 $aCRD 979 $aPAOLA$b90$c20150915$lUSA01$h1316 979 $aPAOLA$b90$c20150915$lUSA01$h1318 979 $aPAOLA$b90$c20150915$lUSA01$h1337 996 $aEnsino de engenharia$91514983 997 $aUNISA LEADER 03239nam 22006375 450 001 9910338245403321 005 20240123100523.0 010 $a3-030-18183-9 024 7 $a10.1007/978-3-030-18183-3 035 $a(CKB)4100000008493346 035 $a(DE-He213)978-3-030-18183-3 035 $a(MiAaPQ)EBC5797247 035 $a(PPN)258059133 035 $a(EXLCZ)994100000008493346 100 $a20190622d2019 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCurvature Measures of Singular Sets /$fby Jan Rataj, Martina Zähle 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XI, 256 p. 13 illus., 7 illus. in color.) 225 1 $aSpringer Monographs in Mathematics,$x1439-7382 311 $a3-030-18182-0 330 $aThe book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and piecewise smooth submanifolds as special cases. The measures under consideration form a complete system of certain Euclidean invariants. Techniques of geometric measure theory, in particular, rectifiable currents are applied, and some important integral-geometric formulas are derived. Moreover, an approach to curvatures for a class of fractals is presented, which uses approximation by the rescaled curvature measures of small neighborhoods. The book collects results published during the last few decades in a nearly comprehensive way. 410 0$aSpringer Monographs in Mathematics,$x1439-7382 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aMeasure theory 606 $aConvex geometry 606 $aDiscrete geometry 606 $aGeometry, Differential 606 $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 606 $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 615 0$aGlobal analysis (Mathematics) 615 0$aManifolds (Mathematics) 615 0$aMeasure theory. 615 0$aConvex geometry. 615 0$aDiscrete geometry. 615 0$aGeometry, Differential. 615 14$aGlobal Analysis and Analysis on Manifolds. 615 24$aMeasure and Integration. 615 24$aConvex and Discrete Geometry. 615 24$aDifferential Geometry. 676 $a514.74 676 $a514.74 700 $aRataj$b Jan$f1962-$4aut$4http://id.loc.gov/vocabulary/relators/aut$01494525 702 $aZähle$b Martina$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910338245403321 996 $aCurvature Measures of Singular Sets$93718093 997 $aUNINA