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Gavin Harper is a mathematician working right at the heart of genetics

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March 2010
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divergence

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The harmonic series is far less widely known than the arithmetic and geometric series. However, it is linked to a good deal of fascinating mathematics, some challenging Olympiad problems, several surprising applications, and even a famous unsolved problem. John Webb applies some divergent thinking, taking in the weather, traffic flow and card shuffling along the way.

Tags: logarithm : geometric series : convergence : arithmetic series : harmonic series : divergence


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Infinite series occupy a central and important place in mathematics. C. J. Sangwin shows us how eighteenth-century mathematician Leonhard Euler solved one of the foremost infinite series problems of his day.

Tags: geometric series : convergence : harmonic series : divergence : infinite series : integral test : Euler's solution to the Basel problem : sine : power series


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Mathematics takes to the stage with A disappearing number, a work by Complicite, inspired by the mathematical collaboration of Hardy and Ramanujan. Rachel Thomas went to see the play, and explains some of the maths. You can also read her interview with Victoria Gould about how the show was created.

Tags: mathematics and art : convergence : divergence : infinite series : Riemann zeta function : mathematics and theatre