Parametrisation and Integration over \(n\)-spheres
In this post, we begin by considering how we can parametrise points on a circle, and exploit this to perform a change of variables in 2D. Then, we perform th...
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Fourier Series, Parseval’s Identity, and \(\zeta(2)\)
This post is inspired by a lecture series given by David Skinner in 2016. In particular, for further reading on Fourier series, see chapter 1 of the Mathemat...