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The power of groups

Groups are some of the most fundamental objects in maths. Take a system of interacting objects and strip it to the bone to see what makes it tick, and very often you're faced with a group. Colva Roney-Dougal takes us into their abstract world and puzzles over a game of Solitaire.
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Jigsaw puzzle

Gödel and the limits of logic

When Kurt Gödel published his incompleteness theorem in 1931, the mathematical community was stunned: using maths he had proved that there are limits to what maths can prove. This put an end to the hope that all of maths could one day be unified in one elegant theory and had very real implications for computer science. John W Dawson describes Gödel's brilliant work and troubled life.

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Chaos is not a desk toy

Physicists create a quantum Newton's cradle - and witness an absence of chaos for the first time.
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Carleson

Abel to iPod

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