Mathematical methods of electromagnetic theory
著者
書誌事項
Mathematical methods of electromagnetic theory
(Courant lecture notes in mathematics, v. 25)
Courant Institute of Mathematical Sciences , American Mathematical Society, c2014
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注記
Includes bibliographical references
内容説明・目次
内容説明
This text provides a mathematically precise but intuitive introduction to classical electromagnetic theory and wave propagation, with a brief introduction to special relativity. While written in a distinctive, modern style, Friedrichs manages to convey the physical intuition and 19th century basis of the equations, with an emphasis on conservation laws. Particularly striking features of the book include: (a) a mathematically rigorous derivation of the interaction of electromagnetic waves with matter, (b) a straightforwardexplanation of how to use variational principles to solve problems in electro- and magnetostatics, and (c) a thorough discussion of the central importance of the conservation of charge. It is suitable for advanced undergraduate students in mathematics and physics with a background in advanced calculus and linear algebra, as well as mechanics and electromagnetics at an undergraduate level. Apart from minor corrections to the text, the notation was updated in this edition to follow the conventions of modern vector calculus.
Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University, USA.
目次
Preliminaries
Electrostatics
Currents and Ohm's Law
Magnetostatics
Electromagnetic fields changing in time
Transmission lines. Method of the Laplace transformation
Electromagnetodynamics of moving bodies and the principle of relativity
Electromagnetic wave propagation
The scattering problem
References
「Nielsen BookData」 より