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LEADER: 02439fam a2200349 a 4500
001 2098926
005 20220615203221.0
008 970204s1998 nyua b 001 0 eng
010 $a 97006236
020 $a0387982051 (hc : alk. paper)
035 $a(OCoLC)36343436
035 $a(OCoLC)ocm36343436
035 $9AND1694CU
035 $a(NNC)2098926
035 $a2098926
040 $aDLC$cDLC$dNNC$dOrLoB-B
050 00 $aQA614.86$b.E335 1997
082 00 $a514/.742$221
100 1 $aEdgar, Gerald A.,$d1949-$0http://id.loc.gov/authorities/names/n88210091
245 10 $aIntegral, probability, and fractal measures /$cGerald A. Edgar.
260 $aNew York :$bSpringer,$c1998.
263 $a9706
300 $ax, 286 pages :$billustrations ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
504 $aIncludes bibliographical references (p. [266]-277) and index.
505 00 $g1.$tFractal Measures.$tMeasure Theory.$tHausdorff and Packing Measures.$tVitali Theorems.$tOther Local Fractal Measures.$tGeometry of Fractals.$tUltrametric Spaces.$tComparable Net Measures --$g2.$tIntegrals.$tProduct Measures.$tIntegrals.$tRadon-Nikodym Theorem.$tMeasures as Linear Functionals.$tSpaces of Measures --$g3.$tIntegrals and Fractals.$tTopological and Fractal Dimension.$tPotential Theory.$tFractal Measures.$tSelf-Affine Graphs.$tGraph Self-Similar Measure --$g4.$tProbability.$tEvents.$tRandom Variables.$tDependence.$tLimit Theorems --$g5.$tProbability and Fractals.$tThe Chaos Game.$tDimension of Self-Similar Measures.$tRandom Cantor Sets.$tStatistical Self-Similarity.$tStatistically Self-Affine Graphs.$tBrownian Motion.$tA Multifractal Decomposition.
520 $aThis book provides the mathematical background required for the study of fractal topics. It deals with integration in the modern sense and with mathematical probability. The emphasis is on the particular results that aid the discussion of fractals. The book follows Edgar's Measure, Topology, and Fractal Geometry. With exercises throughout the text, it is ideal for beginning graduate students both in the classroom setting and for self-study.
650 0 $aFractals.$0http://id.loc.gov/authorities/subjects/sh85051147
650 0 $aMeasure theory.$0http://id.loc.gov/authorities/subjects/sh85082702
650 0 $aProbability measures.$0http://id.loc.gov/authorities/subjects/sh92001869
852 00 $bmat$hQA614.86$i.E335 1998