LEADER 04242nam 22008295 450 001 9910299767603321 005 20200703104142.0 010 $a3-319-17019-8 024 7 $a10.1007/978-3-319-17019-0 035 $a(CKB)3710000000443458 035 $a(SSID)ssj0001558570 035 $a(PQKBManifestationID)16183569 035 $a(PQKBTitleCode)TC0001558570 035 $a(PQKBWorkID)14819209 035 $a(PQKB)10061848 035 $a(DE-He213)978-3-319-17019-0 035 $a(MiAaPQ)EBC6312786 035 $a(MiAaPQ)EBC5577067 035 $a(Au-PeEL)EBL5577067 035 $a(OCoLC)914467842 035 $a(PPN)18768992X 035 $a(EXLCZ)993710000000443458 100 $a20150428d2015 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to Measure Theory and Functional Analysis /$fby Piermarco Cannarsa, Teresa D'Aprile 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XIV, 314 p. 8 illus., 1 illus. in color.) 225 1 $aLa Matematica per il 3+2,$x2038-5722 ;$v89 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-17018-X 327 $a1 Part I Measure and Integration -- 2 Part II Functional Analysis -- 3 Part III Selected Topics -- 4 Appendices -- 5 Index. 330 $aThis book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra. 410 0$aLa Matematica per il 3+2,$x2038-5722 ;$v89 606 $aMeasure theory 606 $aFunctional analysis 606 $aProbabilities 606 $aEconomics, Mathematical 606 $aMathematical physics 606 $aPhysics 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aQuantitative Finance$3https://scigraph.springernature.com/ontologies/product-market-codes/M13062 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 615 0$aMeasure theory. 615 0$aFunctional analysis. 615 0$aProbabilities. 615 0$aEconomics, Mathematical. 615 0$aMathematical physics. 615 0$aPhysics. 615 14$aMeasure and Integration. 615 24$aFunctional Analysis. 615 24$aProbability Theory and Stochastic Processes. 615 24$aQuantitative Finance. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aMathematical Methods in Physics. 676 $a510 700 $aCannarsa$b Piermarco$4aut$4http://id.loc.gov/vocabulary/relators/aut$0283467 702 $aD'Aprile$b Teresa$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299767603321 996 $aIntroduction to Measure Theory and Functional Analysis$92544353 997 $aUNINA