The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...

Mehtaab Sawhney, who joined Columbia last year, enjoys the thorny work of proving a seemingly straightforward statement of ...

Take Fermat’s Last Theorem, for example: short and sweet enough to scribble in a margin, but a proof took more than 350 years and the development of multiple new fields of math to find.

A mathematical proof is a sequence of statements that follow on logically from each other that shows that something is always true. Using letters to stand for numbers means that we can make ...

They will also learn how to convey mathematical ideas and write proofs using precise language, correct logic, and other important elements.