differential equation

Can maths help us understand how ants, of such little brains, manage to cooperate so brilliantly?

Tosin uses maths to guarantee the continued production of chocolate.

Now it's the turn of mathematicians to help to improve the communities of the future.

Calculus has long been key to describing the world. Now fractional calculus is providing new ways of describing complex systems.

Calculus has long been key to describing the world. Now fractional calculus is providing new ways of describing complex systems.

Many processes, including climate change and the spread of COVID-19, involve a delay. Here's a beautiful equation designed to model such processes.

The mathematician Martin Hairer has been awarded the 2021 Breakthrough Prize for Mathematics!

Change is the only constant in our lives — which is why differential equations are so useful.

Christian tells us how geometry can help improve methods for solving differential equations.

How to unjam traffic.

Human beings are wilful and don't always act rationally. Yet, mathematical models of the behaviour of crowds are surprisingly accurate.

Masaki Kashiwara wins the Chern medal for his "outstanding and foundational
contributions to algebraic analysis and representation theory sustained over a period of
almost 50 years."

  • Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.

  • What do chocolate and mayonnaise have in common? It's maths! Find out how in this podcast featuring engineer Valerie Pinfield.

  • Is it possible to write unique music with the limited quantity of notes and chords available? We ask musician Oli Freke!

  • How can maths help to understand the Southern Ocean, a vital component of the Earth's climate system?

  • Was the mathematical modelling projecting the course of the pandemic too pessimistic, or were the projections justified? Matt Keeling tells our colleagues from SBIDER about the COVID models that fed into public policy.

  • PhD student Daniel Kreuter tells us about his work on the BloodCounts! project, which uses maths to make optimal use of the billions of blood tests performed every year around the globe.