Research papers. If you want to see some new research papers, a good place to look is the math section of Los Alamos National Labs . The index there gives a good indication of the different areas of mathematics, although certainly some fields are more heavily represented than others, for some reason. If you want to see some older papers, a good place to look is the journal list section of JSTOR . Of the journals in JSTOR, the American Mathematical Monthly is by far the most accessible to undergraduates. MathSciNet contains a review of almost every math paper published anywhere in the world since 1940.
Books. Here are some big publishers of math books: MAA Bookstore , AMS Bookstore , Springer , Cambridge University Press , and Princeton University Press . All these publishers publish books at all different levels, but the MAA collection has the highest percentage of books aimed at undergraduates.
Mathematica. Many of you have put in a great deal of effort to learn Mathematica. Here is the company's website . At the company's website is Math World , which contains information on many mathematical topics. A lot of this information is understandable to undergraduates. Also there's Graphica , which produces art using Mathematica. Here's a short introduction for beginners.
K-12 teaching related links. Many students here will go on to become math teachers. A The CBMS Mathematical Education of Teachers Project is the closest we have to a national standard. This document devotes two chapters each to elementary school teaching, middle school teaching, and high school teaching. Potential high school teachers might want to look at the Minnesota State Board of Teaching standards , to which our program here complies.
A convenient index. There are a great many other large websites with a large section devoted to mathematics. A lot of these are conveniently indexed at math web sites . Another good general site is MathForum .
Fractal sites. There is a lot of information about the Mandelbrot set and Julia sets on the internet. The Mandelbrot set explorer by Robert Devaney is a great place to begin. Fractal Geometry of the Mandelbrot Set I, also by Robert Devaney, is also very good. M-set Anatomy by Evgeny Demidov is a large and more advanced website; a particularly useful part of it is the Julia sets trip.
History sites.
| MacTutor History of Mathematics Archive, by John O'Connor and Edmund Robertson. |
| The History of Mathematics, by David R. Wilkins. |
| History of Mathematics Pages, by Jeff Miller. |
| The Mathematics Genealogy Project , by the Department of Mathematics at North Dakota State University. |
| An Illustrated History of Computers, by John Kopplin. |