LEADER 04340nam  22007215  450 
001 9910300108603321
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010   $a981-10-3725-6
024 7 $a10.1007/978-981-10-3725-2
035   $a(CKB)4100000004244268
035   $a(DE-He213)978-981-10-3725-2
035   $a(MiAaPQ)EBC6311708
035   $a(PPN)227400615
035   $a(EXLCZ)994100000004244268
100   $a20180504d2018      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFunctional Analysis and Applications /$fby Abul Hasan Siddiqi
205   $a1st ed. 2018.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018.
215   $a1 online resource (XVII, 562 p. 23 illus.) 
225 1 $aIndustrial and Applied Mathematics,$x2364-6837
311   $a981-10-3724-8 
320   $aIncludes bibliographical references & index.
327   $aMetric Spaces and Banach Fixed Point Theorem -- Banach Spaces -- Hilbert Space -- Fundamental Theorems -- Differential and Integral Calculus in Banach Spaces -- Optimisation Problems -- Operator Equations and Variational Methods -- Finite Element and Boundary Element Methods -- Variational Inequalities and Applications -- Spectral Theory with Application -- Frame and Basis Theory in Hilbert Spaces -- Wavelet Theory -- Wavelet Method for Partial Dierential Equations and Image Processing -- Wavelet Frames -- Gabor Analysis.
330   $aThis self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.
410  0$aIndustrial and Applied Mathematics,$x2364-6837
606   $aFunctional analysis
606   $aMathematical models
606   $aMathematical optimization
606   $aOperator theory
606   $aDifferential equations, Partial
606   $aAlgorithms
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068
606   $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aAlgorithms$3https://scigraph.springernature.com/ontologies/product-market-codes/M14018
615  0$aFunctional analysis.
615  0$aMathematical models.
615  0$aMathematical optimization.
615  0$aOperator theory.
615  0$aDifferential equations, Partial.
615  0$aAlgorithms.
615 14$aFunctional Analysis.
615 24$aMathematical Modeling and Industrial Mathematics.
615 24$aOptimization.
615 24$aOperator Theory.
615 24$aPartial Differential Equations.
615 24$aAlgorithms.
676   $a515.7
700   $aSiddiqi$b Abul Hasan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0150254
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300108603321
996   $aFunctional Analysis and Applications$91563883
997   $aUNINA