From: Per Hjeltman Subject: Re: pi irrational? Date: Sun, 13 Jun 1999 23:12:39 +0200 Newsgroups: sci.math Helmut Richter wrote: > When? Reference? Niven, I., "A simple proof of the irrationality of Pi," Bulletin of the American Mathematical Society, Vol. 53 (1947), page 509. ============================================================================== From: kovarik@mcmail.cis.McMaster.CA (Zdislav V. Kovarik) Subject: Re: pi irrational? Date: 13 Jun 1999 03:11:26 -0400 Newsgroups: sci.math In article , Gilberto Simpson wrote: : [...] :wondering if there was an elementary :proof that pi is irrational? See book IV of the series "Elements of Mathematics", called "Functions of one real variable" Chapter III, Sec. 2.4, Exercise 8. Author: Nicolas Bourbaki (Synopsis: It takes a sequence of integrals (depending on a parameter) which converges to 0 but, if pi were rational, would attain only positive integer values. Hence a contradiction.) Cheers, ZVK(Slavek). ============================================================================== From: Hankel O'Fung Subject: Re: pi irrational? Date: Mon, 14 Jun 1999 14:10:32 -0700 Newsgroups: sci.math To: Helmut.Richter@lrz-muenchen.de Nice proof ;-> Helmut Richter wrote: > >Anyway, it sparked my interest and me wondering if there was an elementary > >proof that pi is irrational? > > One is on my WWW page http://www.lrz.de/~hr/numb/pi-irr.html -- Cheers, Hankel (The "NOSPAM" in my address is a spam block)