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Wednesday, April 14, 2021

Fourier’s Proof that e is Irrational | Mathematics Education - Medium

An easy-to-follow demonstration, written by Adam Hrankowski, Academic Coach, published in MathAdam.

Joseph Fourier
Photo: Wikimedia Commons

he irrationality of e can be demonstrated by a surprisingly accessible piece of mathematics. This proof, developed by Joseph Fourier, is perhaps the most well-known.

We need to begin with this infinite sum expression for e:

(In my previous article, Fall In Love With e All Over Again, you can see how to derive this series.)


Source: Medium