Monthly Archives: November 2010

The point of computer algebra systems

I wanted to do the contour integral of around the unit circle on a computer for kicks. So I parameterised it with and entered it into Maxima and Matlab for various values of . By Cauchy’s integral formula we know … Continue reading

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Local Lie Groups and Hilbert’s Fifth Problem

Lie Groups are mathematically “very nice” structures – they are analytic manifolds (real or complex) with a group structure such that multiplication and inversion are continuous. They are deeply related to infinitesimal symmetries; a group acting on a space can … Continue reading

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