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010   $a3-319-17019-8
024 7 $a10.1007/978-3-319-17019-0
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035   $a(Au-PeEL)EBL5577067
035   $a(OCoLC)914467842
035   $a(PPN)18768992X
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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 $aLa Matematica per il 3+2,$x2038-5757 ;$v89
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$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,$x2038-5757 ;$v89
606   $aMeasure theory
606   $aFunctional analysis
606   $aProbabilities
606   $aSocial sciences$xMathematics
606   $aMathematical physics
606   $aMeasure and Integration
606   $aFunctional Analysis
606   $aProbability Theory
606   $aMathematics in Business, Economics and Finance
606   $aMathematical Physics
606   $aMathematical Methods in Physics
615  0$aMeasure theory.
615  0$aFunctional analysis.
615  0$aProbabilities.
615  0$aSocial sciences$xMathematics.
615  0$aMathematical physics.
615 14$aMeasure and Integration.
615 24$aFunctional Analysis.
615 24$aProbability Theory.
615 24$aMathematics in Business, Economics and Finance.
615 24$aMathematical Physics.
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