The calculus of the complex

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

Explore: Differential equationsOne thing that will never change is the fact that the world is constantly changing, and differential equations are the way we mathematically describe the changing world around us.
Logically speaking...

In some sense, all of maths should come under the label "logic", and in this collection of articles we try to explain why.

INTEGRAL: Seeing the world through new eyes

The INTEGRAL project is using artificial intelligence to support the conservation of forests and make better, and healthier, planning decisions for our cities.

Kinetic theory

If it's moving and shaking you need kinetic theory!

Proof by picture!

When it comes to doing maths, a picture can be worth a thousand equations.

What are probability distributions?

Here's an introduction and some examples.

Turbulence: Where do we stand?

Dive into the maths of turbulence!

All about proofs

Why do mathematicians always want proof and what do they mean by it?

The Plus advent calendar 2021

In this year's advent calendar we celebrate our collaboration with the Isaac Newton Institute for Mathematical Sciences.

Behind the scenes at the HLF 2021

We love talking to young researchers and laureates at the Heidelberg Laureate Forum, and this year we produce a daily video diary to take everyone behind the scenes of this special digital HLF.

The power of small things

Beware of exponentially small terms!

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