# Mathematical Formulary

This document contains 66 pages with mathematical equations intended for physicists and engineers. It is intended to be a short reference for anyone who often needs to look up mathematical equations.

This, and a Dutch version of this file, can be obtained from the author, Johan Wevers johanw@xs4all.nl.

It can also be obtained on the WWW. See http://www.xs4all.nl/~johanw/index.html, where $\rm\LaTeX$, html, Postscript and PDF versions are available.

If you find any errors or have any comments, please let me know. I am always open for suggestions and possible corrections to the physics formulary.

This work is licenced under the Creative Commons Attribution 3.0 License. To view a copy of this licence, visit http://creativecommons.org/licenses/by/3.0/ or send a letter to Creative Commons, 171 Second Street, Suite 300, San Francisco, California 94105, USA. which contains a lot equations in physics. It is written at advanced undergraduate/postgraduate level. It is intended to be a short reference for anyone who works with physics and often needs to look up equations.

The C code for the rootfinding via Newtons method and the FFT in chapter 8 are from Numerical Recipes in C'', 2nd Edition, ISBN 0-521-43108-5.

ir. J.C.A. Wevers

# Contents

1. Basics

2. Probability and statistics
3. Calculus
1. Integrals
2. Functions with more variables
3. Orthogonality of functions
4. Fourier series
4. 4. Differential equations
1. Linear differential equations
2. Some special cases
3. Non-linear differential equations
4. Sturm-Liouville equations
5. Linear partial differential equations
1. General
2. Special cases
3. Potential theory and Green's theorem
5. Linear algebra
6. Complex function theory
7. Tensor calculus
8. Numerical mathematics