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010   $a9783030271534
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024 7 $a10.1007/978-3-030-27153-4
035   $a(CKB)4100000010013749
035   $a(MiAaPQ)EBC6001960
035   $a(DE-He213)978-3-030-27153-4
035   $a(PPN)24281879X
035   $a(MiAaPQ)EBC31886972
035   $a(Au-PeEL)EBL31886972
035   $a(OCoLC)1134853717
035   $a(EXLCZ)994100000010013749
100   $a20191227d2019      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFunctional Analysis for the Applied Sciences /$fby Gheorghe Moro?anu
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (439 pages) $cillustrations
225 1 $aUniversitext,$x2191-6675
311 08$a9783030271527 
311 08$a3030271528 
320   $aIncludes bibliographical references.
327   $a1. Introduction -- 2. Metric Spaces -- 3. The Lebesgue Integral and Lp Spaces -- 4. Continuous Linear Operators and Functionals -- 5. Distributions, Sobolev Spaces -- 6. Hilbert Spaces -- 7. Adjoint, Symmetric and Self-adjoint Linear Operators -- 8. Eigenvalues and Eigenvectors -- 9. Semigroups of Linear Operators -- 10. Solving Linear Evolution Equations by the Fourier Method -- 11. Integral Equations -- 12. Answers to Exercises -- Bibliography.
330   $aThis advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications. Special attention is paid to creating appropriate frameworks towards solving significant problems involving di?erential and integral equations. Exercises at the end of each chapter help the reader to understand the richness of ideas and methods offered by Functional Analysis. Some of the exercises supplement theoretical material, while others relate to the real world. This textbook, with its friendly exposition, focuses on different problems in physics and other applied sciences and uniquely provides solutions to most of the exercises. The text is aimed toward graduate students and researchers in applied mathematics, physics, and neighboring fields of science.
410  0$aUniversitext,$x2191-6675
606   $aFunctional analysis
606   $aDifferential equations
606   $aIntegral equations
606   $aAlgebras, Linear
606   $aFunctional Analysis
606   $aDifferential Equations
606   $aIntegral Equations
606   $aLinear Algebra
615  0$aFunctional analysis.
615  0$aDifferential equations.
615  0$aIntegral equations.
615  0$aAlgebras, Linear.
615 14$aFunctional Analysis.
615 24$aDifferential Equations.
615 24$aIntegral Equations.
615 24$aLinear Algebra.
676   $a515.7
700   $aMoro?anu$b Gheorghe$4aut$4http://id.loc.gov/vocabulary/relators/aut$041487
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910364956103321
996   $aFunctional Analysis for the Applied Sciences$91732480
997   $aUNINA