Mathematics

Computer scientists can prove certain programs to be error-free with the same certainty that mathematicians prove theorems.

String theory has so far failed to live up to its promise as a way to unite gravity and quantum mechanics. At the same time, it has blossomed into one of the most useful sets of tools in science.

City blocks help illustrate why walking randomly tends to take you away from your starting point.

Why is it that when you walk randomly, the more you walk, the farther you get from your starting point?

What can the mathematical genius Srinivasa Ramanujan teach us about number theory through mathematical structures involving infinity?

Mathematicians have had a hard time finding commonalities in large groups of random shapes — until recently.

The physicist-mathematician Miranda Cheng is working to harness a mysterious connection between string theory, algebra and number theory.

Researchers have uncovered deep connections among different types of random objects, illuminating hidden geometric structures.

Insights from the mathematical genius Srinivasa Ramanujan give us a number of ways to explore the infinite.