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010   $a9783031105982$b(eBook)
010   $z9783031105975
024 7 $a10.1007/978-3-031-10598-2
035   $a(CKB)5580000000394926
035   $a(DE-He213)978-3-031-10598-2
035   $a(EXLCZ)995580000000394926
100   $a20221013d2022      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFunctional Analysis Tools for Practical Use in Sciences and Engineering /$fby Carlos A. de Moura
205   $a1st ed. 2022.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022.
215   $a1 online resource (XVII, 214 p. 16 illus.) 
311 08$a3-031-10597-4 
327   $aRoad Map -- Basic Concepts -- Dual of a Normed Space -- Sobolev Spaces, Distributions -- The Three Basic Principles -- Compactness -- Function Derivatives in Normed Spaces -- Hilbert Bases and Approximations.
330   $aThis textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don?t have a strong background in this branch of mathematics. For every tool, this work emphasizes the motivation, the justification for the choices made, and the right way to employ the techniques. Proofs appear only when necessary for the safe use of the results. The book gently starts with a road map to guide reading. A subsequent chapter recalls definitions and notation for abstract spaces and some function spaces, while Chapter 3 enters dual spaces. Tools from Chapters 2 and 3 find use in Chapter 4, which introduces distributions. The Linear Functional Analysis basic triplet makes up Chapter 5, followed by Chapter 6, which introduces the concept of compactness. Chapter 7 brings a generalization of the concept of derivative for functions defined in normed spaces, while Chapter 8 discusses basic results about Hilbert spaces that are paramount to numerical approximations. The last chapter brings remarks to recent bibliographical items. Elementary examples included throughout the chapters foster understanding and self-study. By making key, complex topics more accessible, this book serves as a valuable resource for researchers, students, and practitioners alike that need to rely on solid functional analysis but don?t need to delve deep into the underlying theory.
606   $aFunctional analysis
606   $aSequences (Mathematics)
606   $aMathematical analysis
606   $aFunctional Analysis
606   $aSequences, Series, Summability
606   $aIntegral Transforms and Operational Calculus
615  0$aFunctional analysis.
615  0$aSequences (Mathematics).
615  0$aMathematical analysis.
615 14$aFunctional Analysis.
615 24$aSequences, Series, Summability.
615 24$aIntegral Transforms and Operational Calculus.
676   $a515.7
700   $ade Moura$b Carlos A$4aut$4http://id.loc.gov/vocabulary/relators/aut$01739921
906   $aBOOK
912   $a9910616211503321
996   $aAnálise Funcional para Aplicações : Posologia$94164561
997   $aUNINA