04246nam 22008295 450 991029976760332120200703104142.03-319-17019-810.1007/978-3-319-17019-0(CKB)3710000000443458(SSID)ssj0001558570(PQKBManifestationID)16183569(PQKBTitleCode)TC0001558570(PQKBWorkID)14819209(PQKB)10061848(DE-He213)978-3-319-17019-0(MiAaPQ)EBC6312786(MiAaPQ)EBC5577067(Au-PeEL)EBL5577067(OCoLC)914467842(PPN)18768992X(EXLCZ)99371000000044345820150428d2015 u| 0engurnn#008mamaatxtccrIntroduction to Measure Theory and Functional Analysis /by Piermarco Cannarsa, Teresa D'Aprile1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XIV, 314 p. 8 illus., 1 illus. in color.)La Matematica per il 3+2,2038-5722 ;89Bibliographic Level Mode of Issuance: Monograph3-319-17018-X 1 Part I Measure and Integration -- 2 Part II Functional Analysis -- 3 Part III Selected Topics -- 4 Appendices -- 5 Index.This 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.La Matematica per il 3+2,2038-5722 ;89Measure theoryFunctional analysisProbabilitiesEconomics, Mathematical Mathematical physicsPhysicsMeasure and Integrationhttps://scigraph.springernature.com/ontologies/product-market-codes/M12120Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Quantitative Financehttps://scigraph.springernature.com/ontologies/product-market-codes/M13062Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Measure theory.Functional analysis.Probabilities.Economics, Mathematical .Mathematical physics.Physics.Measure and Integration.Functional Analysis.Probability Theory and Stochastic Processes.Quantitative Finance.Mathematical Applications in the Physical Sciences.Mathematical Methods in Physics.510Cannarsa Piermarcoauthttp://id.loc.gov/vocabulary/relators/aut283467D'Aprile Teresaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299767603321Introduction to Measure Theory and Functional Analysis2544353UNINA