Mathematical Tools for Physics:


This text is in PDF format, and is my attempt to provide a less expensive alternative to some of the printed books currently available for this course. If you find any mistakes or any parts that are unclear or any topics that you think I should not have omitted, please tell me.
I intend this for the undergraduate level, providing a one-semester bridge between some of the introductory math courses and the physics courses in which we expect to use the mathematics. This is the course typically called Mathematical Methods in Physics. The text itself has been expanded so that it now contains far more than a one semester course.
The text is available as a single file to download and save, or as the separate chapters. The advantage of the single file is that the internal hyperlinks will take you anywhere in the book, while the internal links in the separate chapters are confined to that chapter. The single file contains a full index (also linked).
In the body of the text, the equation references are linked, so that clicking on the reference will take you to that equation. To return to your original position, either click on the left arrow (Previous View) at the top (or sometimes bottom), or use a keyboard shortcut   [ Command<-- on Mac,   Alt<-- on Windows,   Control<-- on Linux ]. The table of contents and the index are also linked. There are also a few links to web sites within the text.
If you want to read this on the screen there are two formats. The first is for a smaller screen and is formatted so that the page is wider than it is tall. The format for a large monitor is designed with small margins, so that you can more easily use a two-page display.
If you choose to print the book and have a printer that does two-sided copy, or if you upload it to a commercial printer, there is a version with identical content, but with margins shifted for such printing and binding. It is 487 pages.

1 Basic Stuff 10 Partial Differential Equations
 2 Infinite Series 11 Numerical Analysis
 3 Complex Algebra 12 Tensors
 4 Ordinary Differential Equations 13 Vector Calculus II
 5 Fourier Series 14 Complex Variables
 6 Vector Spaces 15 Fourier Analysis
 7 Operators and Matrices 16 Calculus of Variations
 8 Multivariable Calculus 17 Densities, Distributions
 9 Vector Calculus I

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