Fourier analysis

Explore the connections between mathematics and music at the La La Lab exhibition.

The Fourier transform is a piece of maths that is, almost single-handedly, responsible for the digital revolution. We asked Chris Budd what the Fourier
transform does, and how it does it. This podcast accompanies the Plus
article Saving lives: The mathematics of tomography.

Cosmic sound

Taking apart the CMB picture using the maths of sound.

Wavelets catch Abel Prize

This year's Abel Prize has been awarded to Yves Meyer for the development of an incredibly powerful mathematical tool.

Face fusion

The maths behind music has inspired software that can merge faces.

Maths in a minute: Fourier series

How the heat equation inspired the maths that powers the entertainment industry.

This article is part of a two-part series exploring ways in which mathematics comes into food, and especially into food safety and health. In this part we'll look at how maths can tell us the safest way to cook food.

Genomics is one of the fastest moving areas of science and Gavin Harper, a mathematician and statistician, has put himself right at its centre. He works for Oxford Nanopore Technologies, a company which is developing new technology for analysing molecules and sequencing DNA. With 75 employees from 18 different countries and all sorts of scientific backgrounds, Gavin's work environment is nothing like the solitary paper-and-pencil affair traditionally associated with mathematics.

Career interview: Fashion designer

Sandy Black, Professor of Fashion and Textile Design, has combined her love of art and design with her love of mathematics in her career as a knitwear designer. Sandy talks to Plus about the mathematics in fashion, knitting, and how science and fashion could make the world a better place.

Not so long ago, if you had a medical complaint, doctors had to open you up to see what it was. These days they have a range of sophisticated imaging techniques at their disposal, saving you the risk and pain of an operation. Chris Budd and Cathryn Mitchell look at the maths that isn't only responsible for these medical techniques, but also for much of the digital revolution.

Maths in a minute

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

Compound infections

Why does the number e appear in models of exponential growth?
Some lovely proofs by picture

Don't like trigonometry? Don't worry, here are three beautiful proofs of a well-known result that make do without it.
Maths in a minute: The axioms of probability theory

Take a quick trip to the foundations of probability theory.
Careful with your Christmas b(a)ubbles

Modelling shows that your choice of how many households you bubble with this Christmas can make a real difference to the spread COVID-19.
The mathematics of your next family reunion

The festive season can only mean one thing... getting together with the family! You might not be able to choose your family, but at least now you'll know exactly what you share in common!

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