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. The index is also linked, and there are 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. On a tablet, rotate it to landscape mode. The format for a large monitor is designed with small margins, so that you can more easily use a two-page display.
The link to Example Solutions below contains solutions to about 20% of the problems in the text.
The printed and bound version of this book is available from Dover Publications, and links to a couple of sources appear below. Though it lacks the hyperlinks of the pdfs, people seem to prefer the printed page.
|Nearing, home page|
|OR as separate chapters:|
|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|
Power Series Animations
|Mechanics Text by Nearing:||Mechanics (draft)|
|Online Text by Ed Connell:||Abstract and Linear Algebra|
|Online Text by Sean Mauch:||Applied Math|
|Online Books:||U Penn|
|Textbooks etc.||Science et al.|
|UMiami Physics Dept||University of Miami|