This is a great explanation of the Niven proof of the irrationality of π
https://www.ams.org/journals/bull/1947-53-06/S0002-9904-1947-08821-2/S0002-9904-1947-08821-2.pdf
https://www.ams.org/journals/bull/1947-53-06/S0002-9904-1947-08821-2/S0002-9904-1947-08821-2.pdf
Reposted from
Akiva Weinberger
There's another proof I like (originally due to Hermite, but a version of it was popularized by Niven) which is based on integrals.
In particular, integration by parts plays a central role.
In particular, integration by parts plays a central role.
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