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Mathematical mysteries: Kepler's conjecture

Sir Walter Raleigh is perhaps best known for laying down his cloak in the mud for Queen Elizabeth I. But, he also started a mathematical quest which to this day remains unsolved.
Coding theory: the first 50 years
Space probes, like NASA's recent Pathfinder mission to Mars, have radio transmitters of only a few watts, but have to transmit pictures and scientific data across hundreds of millions of miles without the information being completely swamped by noise. Read about how coding theory helps.
Puzzle No. 3 - birth dates
Puzzle page
Never forget your mum's birthday
Solution to Puzzle No. 2 - carnivorous beetles
Puzzle No. 2 - carnivorous beetles
Puzzle page
Carnivorous beetles hunt down breakfast
Solution to Puzzle No. 1 - the ring
The taxi problem
Solution to the taxi problem
Mathematical mysteries: the Goldbach conjecture

Can every even number greater than 2 can be written as the sum of two primes? It's one of the trickiest questions in maths.
Are the polls right?
The British General Election (May 1997) is an example of how simple mathematical ideas help in understanding information that involves numbers.