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978-3-319-11086-8
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9783319110868
978-3-319-11086-8
10.1007/978-3-319-11086-8
doi
QA370-380
PBKJ
bicssc
MAT007000
bisacsh
515.353
23
Kirsch, Andreas.
author.
The Mathematical Theory of Time-Harmonic Maxwell's Equations
[electronic resource] :
Expansion-, Integral-, and Variational Methods /
by Andreas Kirsch, Frank Hettlich.
Cham :
Springer International Publishing :
Imprint: Springer,
2015.
XIII, 337 p. 3 illus., 1 illus. in color.
online resource.
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Applied Mathematical Sciences,
0066-5452 ;
190
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.
Mathematics.
Functional analysis.
Partial differential equations.
Numerical analysis.
Applied mathematics.
Engineering mathematics.
Mathematics.
Partial Differential Equations.
Functional Analysis.
Appl.Mathematics/Computational Methods of Engineering.
Numerical Analysis.
Hettlich, Frank.
author.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783319110851
Applied Mathematical Sciences,
0066-5452 ;
190
http://dx.doi.org/10.1007/978-3-319-11086-8
ZDB-2-SMA
371532
371532
0
0
0
0
EBook
elib
elib
2018-01-15
2018-01-15
2018-01-15
EBOOK