A Proof of Irrationality of $\pi$ by Contraposition
History and Overview
2015-12-02 v1
Abstract
We point out that the proof of irrationality of by Niven can be modified to a proof by contraposition. As a warm-up, we also give a proof of irrationality of and in a similar way.
Cite
@article{arxiv.1512.00339,
title = {A Proof of Irrationality of $\pi$ by Contraposition},
author = {Akira Ushijima},
journal= {arXiv preprint arXiv:1512.00339},
year = {2015}
}