A Proof of Irrationality of $\pi$ by Contraposition

Autor:	Ushijima, Akira
Rok vydání:	2015
Předmět:	Mathematics - History and Overview
Druh dokumentu:	Working Paper
Popis:	We point out that the proof of irrationality of $\pi$ by Niven can be modified to a proof by contraposition. As a warm-up, we also give a proof of irrationality of $\sqrt{2}$ and $\sqrt{3}$ in a similar way.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.00339 Zobrazit plný text záznamu View this record from Arxiv