LEADER 03701nam  22007815  450 
001 9910438033703321
005 20200701020654.0
010   $a1-4614-7004-8
024 7 $a10.1007/978-1-4614-7004-5
035   $a(CKB)3710000000015738
035   $a(EBL)1394847
035   $a(OCoLC)870244160
035   $a(SSID)ssj0000988146
035   $a(PQKBManifestationID)11544505
035   $a(PQKBTitleCode)TC0000988146
035   $a(PQKBWorkID)10950682
035   $a(PQKB)11607002
035   $a(DE-He213)978-1-4614-7004-5
035   $a(MiAaPQ)EBC1394847
035   $a(MiAaPQ)EBC6312586
035   $a(Au-PeEL)EBL1394847
035   $a(CaPaEBR)ebr10962442
035   $a(PPN)172418771
035   $a(EXLCZ)993710000000015738
100   $a20130809d2013      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aFunctional Analysis $eFundamentals and Applications /$fby Michel Willem
205   $a1st ed. 2013.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Birkhäuser,$d2013.
215   $a1 online resource (220 p.)
225 1 $aCornerstones,$x2197-182X
300   $aDescription based upon print version of record.
311   $a1-4899-8794-0 
311   $a1-4614-7003-X 
327   $aPreface -- The Integral -- Norm -- Lebesgue Spaces -- Duality -- Sobolev Spaces -- Capacity -- Elliptic Problems -- Appendix -- Epilogue -- References -- Index of Notations -- Index.
330   $aThe goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szeg? and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional  analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics.
410  0$aCornerstones,$x2197-182X
606   $aFunctional analysis
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aDifferential equations, Partial
606   $aMathematics
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aMathematics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/M00009
615  0$aFunctional analysis.
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aDifferential equations, Partial.
615  0$aMathematics.
615 14$aFunctional Analysis.
615 24$aAnalysis.
615 24$aPartial Differential Equations.
615 24$aMathematics, general.
676   $a510
700   $aWillem$b Michel$4aut$4http://id.loc.gov/vocabulary/relators/aut$0344839
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438033703321
996   $aFunctional Analysis$92517706
997   $aUNINA