General: Yearning for the impossible / John Stillwell. Simple mathematical paradoxes / John Mitchem. Mathemagical miracles / "Card Colm" Mulcahy. The mathematics of sudoku / Tom Davis. Infinity : cardinal numbers / Bjorn Poonen
Number theory: Some very interesting sequences / John H. Conway and Tim Hsu. Are there infinitely many twin primes? / D.A. Goldston. The Riemann hypothesis / J.B. Conrey
Geometry & topology: Is it knotted? / Joel Hass and Abigail Thompson. A topological approach to molecular chirality / Erica Flapan. A noneuclidean universe / Frank A. Farris. Soap bubble clusters / Frank Morgan. Maximum volume space quadrilaterals / Thomas Banchoff, with Nicholas Haber and Aaron Mazel-Gee
Combinatorics & graph theory: The art of counting / David Bressoud. The 2003 Mathematics Awareness Month theme and poster / Joseph A. Gallian.
Applied mathematics: Heavenly mathematics : observing the sun and the moon from different parts of the world / Helmer Aslaksen. Zero knowledge proofs / Steven G. Krantz. Mathematical Rx / Helen Moore. The agreeable society theorem / Francis Edward Su. Central configurations : a problem for the twenty-first century / Donald G. Saari.