polynomials and inequalities

Polynomial equations and convex polytopes, by Bernd Sturmfels, in American Mathematical Montly, vol. 105, no. 10 (December 1998), 907-922. Like a polyhedron, a polytope has flat sides but possibly in higher dimensions; a convex polytope can be described by linear...

math in the 20th century

An article by one of the great mathematicians of our time: Mathematics in the 20th century, by Sir Michael Atiyah, in American Mathematical Monthly, vol. 108, no. 7 (August-September 2001), 654-666.

a group of pythagorean triples

The group of primitive Pythagorean triangles, by Ernest J. Eckert, in Mathematics Magazine, vol. 57, no. 1 (January 1984), 22-26. This nice article describes a way to think about triples of integers (a,b,c) where (that’s in TeX, by the...