For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...

J. R. Brown, Philosophy of mathematics: an introduction to the world of proofs and pictures, Routledge (1999). 2. R. B. Nelsen, Proofs without words I: exercises in ...

When two mathematicians raised pointed questions about a classic proof that no one really understood, they ignited a years-long debate about how much could be trusted in a new kind of geometry. In the ...

Find out how and why mathematics is used in microeconomics, its limitations, and the math skills that economics students need.

AI now seems to be helping mathematicians produce novel and useful research with regularity. In a significant milestone for ...

The original version of this story appeared in Quanta Magazine. In 1917, the Japanese mathematician Sōichi Kakeya posed what at first seemed like nothing more than a fun exercise in geometry. Lay an ...