In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...
Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...
Staring at a page of derivatives or integrals can feel like trying to read a foreign language. Your professor moves fast, the ...
Since the release of GPT 5.2, AI tools have become inescapable in high-level mathematics.