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Fourier analysis

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Ice, food, and invisibility cloaks — meet the maths that links them together!

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.

Taking apart the CMB picture using the maths of sound.

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

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

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.

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.

The 2006 Abel prize celebrates the mathematician who helped make mp3s possible.