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Understand the maths behind health and medicine

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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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harmonic series

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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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Skot McDonald talks to Plus about how he uses mathematics to understand music, and how he managed to combine his passions for music and computing to create a successful career.

Tags: mathematics and music : harmonic series : frequency : Fourier analysis : digital Signal Processing


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Tags: harmonic series : graph : weather


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Leonhard Euler was one of the most prolific mathematicians of all time. This year marks the 300th anniversary of his birth. Robin Wilson starts off a four part series on Euler with a look at his life and work.

Tags: history of mathematics : geometry : harmonic series : topology : Euler : infinite series : Euler year