From: wcw@math.psu.edu (William C Waterhouse)
Subject: Re: Historical references
Date: 15 Dec 1999 23:11:57 GMT
Newsgroups: sci.math,sci.math.research

In article <3850C3E4.6B49D31@cges.ensmp.fr>, 
Jean-Michel Savignat <savignat@cges.ensmp.fr> writes:
>... 
> I'm looking for four historical references :
> ...
> 2. The book in which Gauss has described for the first time his
> integration method.
>...

Gaussian integration was first published in an article,

  "Methodus novus integralium valores per approximationem inveniendi"

  ("A new method of finding values of integrals by approximnation").  

This was presented to the Goettingen scientific society in 1814 and
published in Comm. Soc. Sc. Goett. Math. III (1816), 39-76. It
was reprinted in Gauss's Werke, Volume III, 163-196.


William C. Waterhouse
Penn State