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)