Mathematical methods of electromagnetic theory

著者

書誌事項

Mathematical methods of electromagnetic theory

Kurt O. Friedrichs

（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

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