For centuries, the concept of infinity has captivated mathematicians and philosophers alike, stretching far beyond the simple idea of endless counting. Recent groundbreaking discoveries, however, have ...

Cheng (How to Bake π), a scientist in residence at the School of the Art Institute of Chicago and honorary fellow at Sheffield University, tackles some difficult concepts in this superb study of the ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

The famous mathematical ratio, estimated to more than 22 trillion digits (and counting), is the perfect symbol for our species’ long effort to tame infinity. By Steven Strogatz This article, ...

Last week, my first grader came home with thoughts about math (I love it when she does that!) She said that, since one hundred plus ten was “one hundred and ten”, that, therefore, infinity plus ten ...

It’s a complaint many algebra teachers are familiar with, as more letters and symbols are introduced with progressively harder courses in mathematics. But why did the plus symbol emerge as the ...

At the University of Vaasa in Finland, mathematician Yosra Barkaoui has successfully generalized a fundamental theorem that had remained confined to “bounded” systems for more than 40 years.

In electronics, we are familiar with bounded ranges on circuit variables, yet the idea of infinity is also common in electronics theory and does not seem to invoke insanity among engineers. This is ...

We consider families of orders of complex cubic fields introduced recently by Levesque and Rhin and find the Voronoï-algorithm expansions and the fundamental units. We compare with the Jacobi-Perron ...