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The Mathematical Theory of Time-Harmonic Maxwell's Equations : Expansion-, Integral-, and Variational Methods / by Andreas Kirsch, Frank Hettlich.
Math/Physics/Astronomy Library QA1 .A647 v.1-61,63-65,67-80,83-v.205,v.208-v.215,v.218-v.223
Available
Chemistry Library - Books QA1 .A647 v.38,44,46,51-52,55
Mixed Availability
LIBRA QA1 .A647 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Kirsch, Andreas., Author.
- Hettlich, Frank., Author.
- Series:
- Applied Mathematical Sciences, 0066-5452 ; 190
- Language:
- English
- Subjects (All):
- Differential equations, Partial.
- Functional analysis.
- Applied mathematics.
- Engineering mathematics.
- Numerical analysis.
- Partial Differential Equations.
- Functional Analysis.
- Mathematical and Computational Engineering.
- Numerical Analysis.
- Local Subjects:
- Partial Differential Equations.
- Functional Analysis.
- Mathematical and Computational Engineering.
- Numerical Analysis.
- Physical Description:
- 1 online resource (XIII, 337 p. 3 illus., 1 illus. in color.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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:
- 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.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-319-11086-1
- OCLC:
- 1066179290
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