flâneur

I (sort of) discovered a relationship between two areas of mathematics by accident. : r/math

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I am a maths teacher with no maths degree, my main degree is chemistry, which is good enough to teach A-level maths and further maths, but not much more. In the school where I work, I started running a maths club, which was aimed at my most interested in maths students. In order to keep them challenged and be able to provide them with interesting maths concepts to explore, I started working with a tutor who taught me more advanced maths concepts, so I can teach them to my students, but also so I can enjoy maths by myself. One of the things my tutor taught me is residue theorem, and I was perplexed by the fact that a concept from complex analysis can be used to evaluate real integrals in a very natural and mathematically satisfying way. After learning the basics, like the idea of pole, order of which corresponds to the power of the function in the denominator in many cases, I started to wonder, if you can apply residue theorem to the cases where these powers are not integers. I was expl

I am a maths teacher with no maths degree, my main degree is chemistry, which is good enough to teach A-level maths and further maths, but not much more. In the school where I work, I started running a maths club, which was aimed at my most interested in maths students. In order to keep them challenged and be able to provide them with interesting maths concepts to explore, I started working with a tutor who taught me more advanced maths concepts, so I can teach them to my students, but also so I can enjoy maths by myself. One of the things my tutor taught me is residue theorem, and I was…

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