This is a preview. Log in through your library . Abstract We derive a formula for an n-th order divided difference of the inverse of a function. The formula has a simple and surprising structure: it ...

Grab a pen and draw a figure. Follow a few rules: keep your lines straight, don’t pick up your pen, don’t cross the lines, and finish at the spot where you started. You’ll have a polygon. Polygons are ...

Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major ...

When it comes to good YouTube videos, I’m biased in favor of content made explicitly for the platform: media critiques, long-form investigations, and pointless tests of human endurance. “Outside In” ...

An AI from Google DeepMind can solve some International Mathematical Olympiad (IMO) questions on geometry almost as well as the best human contestants. How does ChatGPT work and do AI-powered chatbots ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Historical problems related to cycloids form the background for an investigation of paths traced by rolling regular polygons. Using trigonometry, geometry, and calculus, the lengths of and areas under ...