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100   $a20161219d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAnalysis $eFrom Concepts to Applications /$fby Jean-Paul Penot
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (XXIII, 669 p. 26 illus.) 
225 1 $aUniversitext,$x0172-5939
311   $a3-319-32409-8 
327   $aSets, Orders, Relations and Measures -- Encounters With Limits -- Elements of Functional Analysis -- Hilbert Spaces -- The Power of Differential Calculus -- A Touch of Convex Analysis -- Integration -- Differentiation and Integration -- Partial Differential Equations -- Evolution Problems -- References -- Index.
330   $aThis textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena. Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book?s style and layout make it suitable for use in several courses, while its self-contained character make it appropriate for self-study.
410  0$aUniversitext,$x0172-5939
606   $aFunctional analysis
606   $aMeasure theory
606   $aPartial differential equations
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aFunctional analysis.
615  0$aMeasure theory.
615  0$aPartial differential equations.
615 14$aFunctional Analysis.
615 24$aMeasure and Integration.
615 24$aPartial Differential Equations.
676   $a510
700   $aPenot$b Jean-Paul$4aut$4http://id.loc.gov/vocabulary/relators/aut$0521797
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254090603321
996   $aAnalysis$91523141
997   $aUNINA