LEADER 01999nam a22003135i 4500
001 991004266238507536
005 20240319102338.0
008 230306s2013    nyu    er     001 0 eng d
020   $a9781489987945
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng
082 04$a510
084   $aLC QA319-329.9
084   $aAMS 46-01
084   $aAMS 46B25
100 1 $aWillem, Michel$0344839
245 10$aFunctional analysis :$bfundamentals and applications /$cMichel Willem
260   $aNew York, NY :$bSpringer,$c2013
300   $axiii, 213 p. ;$c24 cm
336   $atext$btxt
490 1 $aCornerstones,$x2197-182X
505 0 $aPreface -- The Integral -- Norm -- Lebesgue Spaces -- Duality -- Sobolev Spaces -- Capacity -- Elliptic Problems -- Appendix -- Epilogue -- References -- Index of Notations -- Index
520   $aThe goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szeg? and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional  analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics
650 04$aFunctional analysis
650 04$aMathematical analysis
650 04$aAnalysis (Mathematics)
650 04$aPartial differential equations
912   $a991004266238507536
996   $aFunctional Analysis$92517706
997   $aUNISALENTO