As an undergraduate at the University of Chile, Bernardo Subercaseaux took a dim view of using computers to do math. It seemed antithetical to real intellectual discovery. “There’s some instinct or ...

Episode: 2502 Computer assisted proofs: How machines extend our mind’s reach. Today, let’s ask how computers help us see mathematical truths.

Mathematical logic and the code of computer programs are, in an exact way, mirror images of each other. The Quanta Newsletter ...

For centuries, mathematicians have sought to understand and model the motion of fluids. The equations that describe how ripples crease the surface of a pond have also helped researchers to predict the ...

Dynamical systems present many fundamental challenges to computational study. These range from the need to adapt finite computations (using a computer) to the task of tracking an infinite number of ...