Mathematics

In just three pages, a Russian mathematician has presented a better way to color certain types of networks than many experts thought possible.

Amie Wilkinson searches for exotic examples of the mathematical structures that describe change.

Decades after the landmark proof of Fermat’s Last Theorem, ideas abound for how to make it even more reliable. But such efforts reflect a deep misunderstanding of what makes the proof so important.

The universe of problems that a computer can check has grown. The researchers’ secret ingredient? Quantum entanglement.

A little high school geometry can help you understand the basic math behind movie recommendation engines.

Two women programmers played a pivotal role in the birth of chaos theory. Their previously untold story illustrates the changing status of computation in science.

To minimize brain strain when thinking recursively, start simply, look for a pattern and let the pattern do the work.

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.