The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

Level 1 Analysis, MATH 20900 Further Calculus. The unit MATH 20200, Analysis 2 is helpful but not essential. Complex analysis, or the calculus of complex-valued functions, is one of the most beautiful ...

Real and complex functions form the backbone of modern mathematical analysis, uniting the study of continuity, differentiability, and integrability on the real line with the rich structure of analytic ...

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 multivariable calculus, functions can depend on multiple variables. Evaluating these functions involves substituting values for all the variables. For example, if f (x, y) = x² + ...

THIS pleasant and moderately priced little book forms an excellent introduction to the complex variable. It is written in a brisk and lucid style, and may be confidently recommended to students of ...

Complex analysis, or the calculus of complex-valued functions, is one of the most beautiful self-contained areas of mathematics. In many ways simpler than real one-variable calculus, it is possible to ...