proof

How to sum an infinite series using chocolate.

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

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

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

Don't like trigonometry? Don't worry, here are three beautiful proofs of a well-known result that make do without it.

Proof is the essence of mathematics. But is the standard of proof in research maths really as high as mathematicians would like to believe?

Will sophisticated algorithms one day replace mathematicians?

The great thing about geometry is that you can sometimes prove things using pictures. Enjoy these three great visual proofs of Pythagoras' theorem!

If you can prove that a statement can't possibly be false, does this mean it's true?

Will computers ever replace human mathematicians?

What are mathematical proofs, why do we need them and what can they say about sheep?

Human versus machine: who's better at proving theorems?
  • 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.