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 ...

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.

Graphs of Sine and Cosine 1.2 An applet illustrating how the graphs of sine and cosine are related to the unit circle. Transformations of Functions 1.3 An applet illustrating how transformations ...

Fractional calculus extends the classical notions of differentiation and integration to non-integer orders, offering an adaptable framework that is particularly well suited to modelling anomalous ...

A new video game that launched last month aims to help students learn one of the most difficult academic subjects while having fun. In the game, called “Variant,” users try to navigate an avatar ...

This is a preview. Log in through your library . Abstract In this paper, we use theoretical frameworks from mathematics education and cognitive psychology to analyse Cauchy's ideas of function, ...