Is there also a short proof that e is transcendental? And what about pi?
A gorgeous proof that the number e is irrational.https://twitter.com/benorlin/status/1048932340804804608 …
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There is 2–3 pages long proof of e & π transcendence. It could be taught to gifted high-schoolers in 3–4 lectures, but it isn't elementary. Enjoy :) Details: https://en.wikipedia.org/wiki/Lindemann–Weierstrass_theorem …
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Due to Fourier, possibly?
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