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Catalogue Information
Field name	Details
Dewey Class	515.353
Title	The Mathematical Theory of Time-Harmonic Maxwell's Equations ([EBook]) : Expansion-, Integral-, and Variational Methods / / by Andreas Kirsch, Frank Hettlich.
Author	Kirsch, Andreas
Added Personal Name	Hettlich, Frank author.
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2015.
Physical Details	XIII, 337 p. 3 illus., 1 illus. in color. : online resource.
Series	Applied mathematical sciences 0066-5452 ; ; 190
ISBN	9783319110868
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-319-11086-8
Links to Related Works	Subject References: Applied mathematics . Appl.Mathematics/Computational Methods of Engineering . Engineering mathematics . Functional Analysis . Mathematics . Numerical Analysis . Partial differential equations . Authors: Hettlich, Frank . Kirsch, Andreas . Corporate Authors: SpringerLink (Online service) . Series: Applied mathematical sciences . Classification: 515.353 .

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The Mathematical Theory of Time-Harmonic Maxwell's Equations: Expansion-, Integral-, and Variational Methods

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