The Mathematical Theory of Time-Harmonic Maxwell's Equations
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 variationa...
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2015
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oai:scholar.dlu.edu.vn:DLU123456789-576892023-11-11T05:48:36Z The Mathematical Theory of Time-Harmonic Maxwell's Equations Kirsch, Andreas Hettlich, Frank Maxwell equations Mathematics Functional analysis 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. 2015-08-20T09:52:32Z 2015-08-20T09:52:32Z 2015 Book 978-3-319-11086-8 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57689 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Maxwell equations Mathematics Functional analysis |
| spellingShingle |
Maxwell equations Mathematics Functional analysis Kirsch, Andreas Hettlich, Frank The Mathematical Theory of Time-Harmonic Maxwell's Equations |
| description |
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. |
| format |
Book |
| author |
Kirsch, Andreas Hettlich, Frank |
| author_facet |
Kirsch, Andreas Hettlich, Frank |
| author_sort |
Kirsch, Andreas |
| title |
The Mathematical Theory of Time-Harmonic Maxwell's Equations |
| title_short |
The Mathematical Theory of Time-Harmonic Maxwell's Equations |
| title_full |
The Mathematical Theory of Time-Harmonic Maxwell's Equations |
| title_fullStr |
The Mathematical Theory of Time-Harmonic Maxwell's Equations |
| title_full_unstemmed |
The Mathematical Theory of Time-Harmonic Maxwell's Equations |
| title_sort |
mathematical theory of time-harmonic maxwell's equations |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57689 |
| _version_ |
1782541250882174976 |