LEADER 02758nam 2200637Ia 450 001 9910461661203321 005 20211204001312.0 010 $a3-11-086620-X 024 7 $a10.1515/9783110866209 035 $a(CKB)2670000000251480 035 $a(EBL)935599 035 $a(OCoLC)843635280 035 $a(SSID)ssj0000559988 035 $a(PQKBManifestationID)11353448 035 $a(PQKBTitleCode)TC0000559988 035 $a(PQKBWorkID)10570443 035 $a(PQKB)11703250 035 $a(MiAaPQ)EBC935599 035 $a(DE-B1597)55872 035 $a(OCoLC)979913238 035 $a(DE-B1597)9783110866209 035 $a(PPN)175553009 035 $a(Au-PeEL)EBL935599 035 $a(CaPaEBR)ebr10598448 035 $a(EXLCZ)992670000000251480 100 $a20010227d2001 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aMeasure and integration theory$b[electronic resource] /$fHeinz Bauer ; translated from the German by Robert B. Burckel 210 $aBerlin ;$aNew York $cW. de Gruyter$d2001 215 $a1 online resource (248 p.) 225 0 $aDe Gruyter studies in mathematics ;$v26 300 $aDescription based upon print version of record. 311 0 $a3-11-016719-0 320 $aIncludes bibliographical references (p. [216]-220) and indexes. 327 $tFront matter --$tChapter I Measure Theory --$tChapter II Integration Theory --$tChapter III Product Measures --$tChapter IV Measures on Topological Spaces --$tBibliography --$tSymbol Index --$tName Index --$tSubject Index --$tBack matter 330 $aThis book gives a straightforward introduction to the field as it is nowadays required in many branches of analysis and especially in probability theory. The first three chapters (Measure Theory, Integration Theory, Product Measures) basically follow the clear and approved exposition given in the author's earlier book on ""Probability Theory and Measure Theory"". Special emphasis is laid on a complete discussion of the transformation of measures and integration with respect to the product measure, convergence theorems, parameter depending integrals, as well as the Radon-Nikodym theorem. 410 3$aDe Gruyter Studies in Mathematics 606 $aMeasure theory 606 $aIntegrals, Generalized 608 $aElectronic books. 615 0$aMeasure theory. 615 0$aIntegrals, Generalized. 676 $a530.8/01 700 $aBauer$b Heinz$f1928-$01026163 701 $aBurckel$b Robert B$045446 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910461661203321 996 $aMeasure and integration theory$92456753 997 $aUNINA