The pages below contain collections of books on most undergraduate math topics:
Books and articles every math student should read:
- Flatland: A Romance of Many Dimensions, by A Square (Edwin A. Abbott)
- Second Revised Edition, 1884
- A short, satirical story about a two dimensional world visited by a three dimensional sphere. Very entertaining, and it may help you to understand the concept of higher dimensions.
- A Mathematician's Apology, by G. H. Hardy
- Cambridge University Press, 1940
- Hardy's justification for devoting his life to mathematics.
- The Unreasonable Effectiveness of Mathematics in the Natural Sciences, by Eugene Wigner
- Communications in Pure and Applied Mathematics, vol. 13, No. I, February 1960
- A brief and interesting essay about the role of mathematics in the natural sciences, particularly physics.
Math journals/archives with free online content:
- Harvard Mathematics Review: There's only six issues, but each is filled with articles written by and for undergraduates.
- Rose Hulman Undergraduate Math Journal
- Involve: A math journal that publishes papers with at least one undergraduate author. These may be a little higher level, but a good summary of an article would be a great talk.
- arXiv.org: Open e-print archive with over 100000 articles in physics, 10000 in mathematics, and 1000 in computer science.