A canonical problem in computer science is to find the shortest route to every point in a network. A new approach beats the classic algorithm taught in textbooks.

Mathematicians are working to fully explain unusual behaviors uncovered using artificial intelligence.

The very universality of maths encourages them to range with dangerous confidence outside their domain.

The chances that someone born in 1992 has insights that eluded the 100 billion-plus people who have lived until now are, if not zero, then small, such are the Bayesian priors.

Quaternions are fundamentally non-commutative, and explain why rotating a three-dimensional object about one axis and then another gives you a different final state than rotating that same object about the same two axes, but in the opposite order.

volumes
1) vectors and matrices
2) derivatives
3) integrals