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100   $a20141119d2015      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 14$aThe Mathematical Theory of Time-Harmonic Maxwell's Equations $eExpansion-, Integral-, and Variational Methods /$fby Andreas Kirsch, Frank Hettlich
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (XIII, 337 p. 3 illus., 1 illus. in color.) 
225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v190
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-11085-3 
327   $aIntroduction -- Expansion into Wave Functions -- Scattering From a Perfect Conductor -- The Variational Approach to the Cavity Problem -- Boundary Integral Equation Methods for Lipschitz Domains -- Appendix -- References -- Index.
330   $aThis book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful in designing graduate courses for mathematically orientated students on electromagnetic wave propagation problems. The students should have some knowledge on vector analysis (curves, surfaces, divergence theorem) and functional analysis (normed spaces, Hilbert spaces, linear and bounded operators, dual space). Written in an accessible manner, topics are first approached with simpler scale Helmholtz Equations before turning to Maxwell Equations. There are examples and exercises throughout the book. It will be useful for graduate students and researchers in applied mathematics and engineers working in the theoretical approach to electromagnetic wave propagation.
410  0$aApplied Mathematical Sciences,$x0066-5452 ;$v190
606   $aPartial differential equations
606   $aFunctional analysis
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aNumerical analysis
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
615  0$aPartial differential equations.
615  0$aFunctional analysis.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aNumerical analysis.
615 14$aPartial Differential Equations.
615 24$aFunctional Analysis.
615 24$aMathematical and Computational Engineering.
615 24$aNumerical Analysis.
676   $a530.141
700   $aKirsch$b Andreas$4aut$4http://id.loc.gov/vocabulary/relators/aut$028299
702   $aHettlich$b Frank$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299783503321
996   $aThe Mathematical Theory of Time-Harmonic Maxwell's Equations$92508615
997   $aUNINA