From: Boudewijn Moonen <Boudewijn.Moonen@ipb.uni-bonn.de>
Subject: Re: Groebner bases
Date: Tue, 04 May 1999 09:58:14 +0200
Newsgroups: sci.math

Antoine Davous wrote:

> I'm looking for a document which describe the basis of Groebner bases
> (or Gröbner). In fact, a mathematician friend of mine is working with
> Mathematica but, of course, the manuals is not enough to understand
> fundations of this subject...
> Thanks to answer to adavous@imaginet.fr
>
> Best regards
> Antoine Davous

Two standard references for Groebner bases are

        http://www.springer.de/cgi-bin/search_book.pl?isbn=0-387-94680-2

        http://www.springer.de/cgi-bin/search_book.pl?isbn=3-540-97971-9

For a much more powerful system for computing Groebner bases see

        http://www.mathematik.uni-kl.de/~zca/Singular/

a first description of it in


http://www.mathematik.uni-kl.de/~zca/Reports_on_ca/01/paper_html/paper.html

and the further documentation on that site.

Regards


--
    Boudewijn Moonen
    Institut fuer Photogrammetrie der Universitaet Bonn
    Nussallee 15

    D-53115 Bonn

    GERMANY

    e-mail: Boudewijn.Moonen@ipb.uni-bonn.de
    Tel.:   GERMANY +49-228-732910
    Fax.:   GERMANY +49-228-732712
==============================================================================

From: David <cdl@mindspring.com>
Subject: Re: Groebner bases
Date: 5 May 1999 02:37:21 GMT
Newsgroups: sci.math

You might want to look at the book "An Introduction to Groebner Bases" 
By Adams and Loustaunau.  The ISBN is 0-8218-3804-0.  It's a good book.

In article <7ghppc$rtd$1@news.imaginet.fr> Antoine Davous,
adavous@imaginet.fr writes:
>I'm looking for a document which describe the basis of Groebner bases
>(or Gröbner). In fact, a mathematician friend of mine is working with
>Mathematica but, of course, the manuals is not enough to understand
>fundations of this subject...
>Thanks to answer to adavous@imaginet.fr
>
>Best regards
>Antoine Davous