**Courant Lecture Notes**

Volume: 25;
2014;
145 pp;
Softcover

MSC: Primary 78; 35;

Print ISBN: 978-1-4704-1711-6

Product Code: CLN/25

List Price: $34.00

Individual Member Price: $27.20

**Electronic ISBN: 978-1-4704-1996-7
Product Code: CLN/25.E**

List Price: $34.00

Individual Member Price: $27.20

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#### Supplemental Materials

# Mathematical Methods of Electromagnetic Theory

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*Kurt O. Friedrichs*

Notes prepared with the assistance of David Isaacson, Rensselaer Polytechnic Institute, Troy, NY

A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University

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 straightforward explanation 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.

#### Readership

Undergraduate students, graduate students, and research mathematicians interested in electromagnetics.

#### Table of Contents

# Table of Contents

## Mathematical Methods of Electromagnetic Theory

- Cover Cover11
- Title page iii4
- Contents v6
- Foreword vii8
- Introduction ix10
- Preliminaries 112
- Electrostatics 718
- Currents and Ohm’s law 4960
- Magnetostatics 5970
- Electromagnetic fields changing in time 7182
- Transmission lines. Method of the Laplace transformation 8798
- Electromagnetodynamics of moving bodies and the principle of relativity 107118
- Electromagnetic wave propagation 119130
- The scattering problem 135146
- References 145156
- Back Cover Back Cover1159