04194nam 22007575 450 991029978350332120200629142446.03-319-11086-110.1007/978-3-319-11086-8(CKB)3710000000306125(SSID)ssj0001386600(PQKBManifestationID)11771546(PQKBTitleCode)TC0001386600(PQKBWorkID)11374316(PQKB)11452350(DE-He213)978-3-319-11086-8(MiAaPQ)EBC6314254(MiAaPQ)EBC5590570(Au-PeEL)EBL5590570(OCoLC)1066179290(PPN)18309610X(EXLCZ)99371000000030612520141119d2015 u| 0engurnn|008mamaatxtccrThe Mathematical Theory of Time-Harmonic Maxwell's Equations Expansion-, Integral-, and Variational Methods /by Andreas Kirsch, Frank Hettlich1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XIII, 337 p. 3 illus., 1 illus. in color.) Applied Mathematical Sciences,0066-5452 ;190Bibliographic Level Mode of Issuance: Monograph3-319-11085-3 Introduction -- 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.This 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.Applied Mathematical Sciences,0066-5452 ;190Partial differential equationsFunctional analysisApplied mathematicsEngineering mathematicsNumerical analysisPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Partial differential equations.Functional analysis.Applied mathematics.Engineering mathematics.Numerical analysis.Partial Differential Equations.Functional Analysis.Mathematical and Computational Engineering.Numerical Analysis.530.141Kirsch Andreasauthttp://id.loc.gov/vocabulary/relators/aut28299Hettlich Frankauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299783503321The Mathematical Theory of Time-Harmonic Maxwell's Equations2508615UNINA