MARC Record from marc_columbia

LEADER: 03431cam a2200565Ma 4500
001 16039861
005 20220326225533.0
006 m o d
007 cr |n|||||||||
008 100712s2008 sz a ob 001 0 eng d
035 $a(OCoLC)ocn655649604
035 $a(NNC)16039861
040 $aCOO$beng$cCOO$dOCLCQ$dOCLCF$dOCLCO$dNOC$dOCLCQ$dLLB$dSTF$dINT$dOCLCQ$dN$T$dOCLCO
016 7 $a987299212$2DE-101
020 $a9783037190449$q(pbk.)
020 $a3037190442
020 $a3037195444
020 $a9783037195444$q(electronic bk.)
024 70 $a10.4171/044$2doi
035 $a(OCoLC)655649604
050 14 $aQA312$b.D33 2008
072 7 $aPBKG$2bicssc
072 7 $aPBKQ$2bicssc
082 04 $a515/.42$222
084 $a28-xx$a26-xx$a49-xx$2msc
049 $aZCUA
100 1 $aDe Lellis, Camillo.
245 10 $aRectifiable sets, densities and tangent measures /$cCamillo De Lellis.
260 $aZurich, Switzerland :$bEuropean Mathematical Society,$c©2008.
300 $a1 online resource (vi, 124 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aZurich lectures in advanced mathematics
504 $aIncludes bibliographical references (page 125) and index.
505 0 $aNotation and preliminaries Marstrand's theorem and tangent measures -- Rectifiability -- The Marstrand-Mattila rectifiability criterion -- An overview of Preiss's proof -- Moments and uniqueness of the tangent measure at infinity -- Flat versus curved at infinity -- Flatness at infinity implies flatness.
520 $aThe characterization of rectifiable sets through the existence of densities is a pearl of geometric measure theory. The difficult proof, due to Preiss, relies on many beautiful and deep ideas and novel techniques. Some of them have already proven useful in other contexts, whereas others have not yet been exploited. These notes give a simple and short presentation of the former, and provide some perspective of the latter. This text emerged from a course on rectifiability given at the University of Zürich. It is addressed both to researchers and students, the only prerequisite is a solid knowledge in standard measure theory. The first four chapters give an introduction to rectifiable sets and measures in euclidean spaces, covering classical topics such as the area formula, the theorem of Marstrand and the most elementary rectifiability criterions. The fifth chapter is dedicated to a subtle rectifiability criterion due to Marstrand and generalized by Mattila, and the last three focus on Preiss' result. The aim is to provide a self-contained reference for anyone interested in an overview of this fascinating topic.
650 0 $aGeometric measure theory.
650 6 $aThéorie de la mesure géométrique.
650 07 $aFunctional analysis.$2bicssc
650 07 $aCalculus of variations.$2bicssc
650 7 $aGeometric measure theory.$2fast$0(OCoLC)fst00940834
650 07 $aMeasure and integration.$2msc
650 07 $aReal functions.$2msc
650 07 $aCalculus of variations and optimal control; optimization.$2msc
655 4 $aElectronic books.
830 0 $aZurich lectures in advanced mathematics.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16039861$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS