This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right ...

Intuitively obvious theorems which are hard to prove are nothing new in topology. The most celebrated case is certainly the Jordan curve theorem. For pedagogical reasons elementary proofs of such ...

“You don’t have to believe in God, but you have to believe in The Book,” the Hungarian mathematician Paul Erdős once said. The Book, which only exists in theory, contains the most elegant proofs of ...

You might think that once a theorem has been proved that would be the end of it. I mean, is there possibly any value in having another proof of something? A new proof certainly doesn't make a theorem ...

High school students Calcea Johnson and Ne'Kiya Jackson did something in 2023 that most mathematicians had thought impossible: They discovered a way to prove Pythagoras' theorem using trigonometry ...

However, the new proofs aren’t circular, according to the study. “None of the theorems we use in our proofs … have already assumed the Pythagorean theorem to be true,” the authors wrote in the paper.

When a top-tier mathematician announced in August that he had proved one of the greatest problems in mathematics, the claim was trumpeted in the New York Times, Nature, Science and the Boston Globe.

The Rockmore theorem made its first—and perhaps only—named appearance in print in 1977, in the journal Physics Letters, Volume 72B, No. 4. A photocopy of the journal page hung on my father’s office ...

Cet article presénte une preuve du théorème d'Arrow, mettant en lumiere, d'une part, sa relation au welfarisme et d'autre part, sa structure géométrique. En outre, nous donnons une preuve de la ...

Two New Orleans teens joined an exclusive club of mathematicians when they discovered trigonometry proofs for Pythagorean's Theorem. Two teens in New Orleans joined an exclusive club of mathematicians ...