Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah

Do you feel that mathematics is just a collection of formulas and theorems that one somehow has to cram into one's head?

That perception is precisely what this study guide is trying to change. Mathematics is a logically connected web of facts and concepts and the most important thing is to understand the connections.

Once you do that you can move around in the subject, use your own judgment, recover from errors, decide for yourself what needs to be done, and solve more difficult problems. In the long run, understanding the principles is also more efficient than memorizing formulas and recipes.

Fine print, your comments, more links, Peter Alfeld, PA1UM