(Every calculus student learns the epsilon-delta definition of a limit; it was Weierstrass who introduced the modern version of it and used it as the foundation for his definitions of continuity and ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

In Math, we often talk of how a function behaves as a variable approaches limits at infinity. That is, if we let “x” take on larger and larger values, what happens to the value of “y” it creates? It ...

Functions with Corners: 2.1: Some examples of graphs with corners which I talked about in lecture. The tangent line to a graph does not exist at a corner. Algebraic Simplification: 2.3: When computing ...

From a bedroom in the San Francisco Bay area, Salman Khan is using the Web to teach math and science to millions. Spencer Michels reports on how the non-profit Kahn Academy is providing ...

In the 20th century, many experts dreamed of finding a foundation on which all mathematical truths could be proven. But in 1931 logician Kurt Gödel , aged just 25 at the time, dashed their hopes.