Some basic trigonometry can deliver vital evidence from the scene of a crime.

How does water, or indeed any fluid, move? The Euler equations let us look beneath the surface and mark the beginning of modern fluid dynamics.

Should we again reduce our social contacts? Is vaccinating 12-to-15-year-olds effective? What about boosters? The ready reckoner helps provide some answers.

How a question about rainbows led to an entire field of mathematics.

If you ignore exponentially small terms they can come back to bite you.

Approximating a function with a divergent series.

There are many ways of explaining technical ideas, and using a range of strategies can give the most intuitive understanding.

Explore the connections between maths and music!