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The mathematical theory of time-harm...

Hettlich, Frank.

The mathematical theory of time-harmonic Maxwell's equationsexpansion-, integral-, and variational methods /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The mathematical theory of time-harmonic Maxwell's equationsby Andreas Kirsch, Frank Hettlich.
其他題名:	expansion-, integral-, and variational methods /
作者:	Kirsch, Andreas.
其他作者:	Hettlich, Frank.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	xiii, 337 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Maxwell equations.
電子資源:	http://dx.doi.org/10.1007/978-3-319-11086-8
ISBN:	9783319110868 (electronic bk.)

The mathematical theory of time-harmonic Maxwell's equationsexpansion-, integral-, and variational methods /
Kirsch, Andreas.

The mathematical theory of time-harmonic Maxwell's equationsexpansion-, integral-, and variational methods /[electronic resource] :by Andreas Kirsch, Frank Hettlich. - Cham :Springer International Publishing :2015. - xiii, 337 p. :ill. (some col.), digital ;24 cm. - Applied mathematical sciences,v.1900066-5452 ;. - Applied mathematical sciences ;v.176..

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.

ISBN: 9783319110868 (electronic bk.)

Standard No.: 10.1007/978-3-319-11086-8doiSubjects--Topical Terms:

272930
Maxwell equations.

LC Class. No.: QC670

Dewey Class. No.: 515.353

The mathematical theory of time-harmonic Maxwell's equationsexpansion-, integral-, and variational methods /
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