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Classical Electromagnetism
Contents
by Mark Lawrence

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This book is highly enhanced course notes from the standard 1st year graduate course in Classical Electromagnetism. This is not at all an introductory course - it's presumed that before you take this course, you had a semester of E&M at the sophomore level, and another semester at the junior or senior level. It's also presumed you're familiar with trigonometry, full and partial differential equations and vector mathematics. Properly speaking, this isn't really a course in E&M, or even physics for that matter: it's an applied math course in how to expand functions over various interesting complete sets. The complete sets we'll be using are all solutions to the Laplace equation.

The introduction is completely non-mathematical, and suitable for any interested person over about the age of 14. The second chapter should be suitable for anyone who has completed sophomore or junior physics. The rest of the book is basically non-stop advanced mathematics.

## Contents

Chapter 1: Introduction to Electromagnetism1
Chapter 2: Phase Invariance and The Laws of Electromagnetism1
Chapter 3: Maxwell's, Poisson's and Laplace's Equations1
Chapter 4: Green's Functions1
Chapter 5: Laplace's Equation in Rectangular Coordinates1
Chapter 6: Laplace's equation in Cylindrical Coordinates, 2D1
Chapter 7: Laplace's Equation in Cylindrical Coordinates, 3D1
Chapter 8: Laplace's Equation in Spherical Coordinates1
Chapter 8:   1
Chapter 9:   1
Chapter 10:  1
Chapter 11:  1
Chapter 12:  1
Chapter 13:  1
Chapter 14:  1
Appendix 1: The Greek Alphabet1
Appendix 2: Vectors, Matrices and Tensors1
Appendix 3: Differential Equations1
Appendix 4: Math and Greek in HTML1

### Acknowledgements:

This book was drafted in Mozilla Composer. http://www.Mozilla.org