LEADER 02760nam 22005655 450 001 9910299768003321 005 20200630023716.0 010 $a3-319-15365-X 024 7 $a10.1007/978-3-319-15365-0 035 $a(CKB)3710000000436804 035 $a(SSID)ssj0001558588 035 $a(PQKBManifestationID)16183571 035 $a(PQKBTitleCode)TC0001558588 035 $a(PQKBWorkID)14819016 035 $a(PQKB)10445430 035 $a(DE-He213)978-3-319-15365-0 035 $a(MiAaPQ)EBC5578329 035 $a(PPN)186398026 035 $a(EXLCZ)993710000000436804 100 $a20150624d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMeasure and Integral /$fby Martin Brokate, Götz Kersting 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015. 215 $a1 online resource (VII, 172 p. 24 illus.) 225 1 $aCompact Textbooks in Mathematics,$x2296-4568 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-15364-1 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1 Introduction -- 2 Measurability -- 3 Measures -- 4 The Integral of Nonnegative Functions -- 5 Integrable Functions -- 6 Convergence -- 7 Uniqueness and Regularity of Measures -- 8 Multiple Integrals and Product Measures -- 9 Absolute Continuity -- 10 The Transformation Formula of Jacobi -- 11 Construction of Measures -- 12 Hilbert Spaces -- 13 Banach Spaces -- Literature. 330 $aThe Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presents additional results which establish connections to other areas of mathematics. The arrangement of the material should allow the adoption of this textbook in differently composed Bachelor programmes. 410 0$aCompact Textbooks in Mathematics,$x2296-4568 606 $aMeasure theory 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 615 0$aMeasure theory. 615 14$aMeasure and Integration. 676 $a515.42 700 $aBrokate$b Martin$4aut$4http://id.loc.gov/vocabulary/relators/aut$027707 702 $aKersting$b Götz$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299768003321 996 $aMeasure and Integral$92544373 997 $aUNINA