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 the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...

The techniques he developed in the field of complex numbers have found use in tackling a wide range of fundamental equations in physics. By Kenneth Chang Joseph J. Kohn, who played a key role in ...

Special functions have many remarkable properties that make them useful in various fields such as combinatory, astronomy, applied mathematics, physics, and engineering. This volume presents 15 ...