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Re: Groebner Bases

• To: mathgroup@smc.vnet.net
• Subject: [mg12634] Re: [mg12561] Groebner Bases
• From: Daniel Lichtblau <danl@wolfram.com>
• Date: Sat, 30 May 1998 17:36:28 -0400
• References: <199805232211.SAA02158@smc.vnet.net.>

Colin L C Fu wrote:
> 
> Hello, folks,
> 
> I tried to do some readings on Groebner Basis and I did search through
> some of the 'Algebra' books but I couldnt find anything about Groebner
> Basis in those books.
> 
> I just wonder if any of you know of any books on Groebner Basis or I
> haved looked into the wrong books to find Groebner Basis. Please
> advise.
> 
> Thanks
> 
> Colin


--------------------------------------- From: Daniel Lichtblau <danl>
To: mathgroup@smc.vnet.net
Subject: [mg12634] [mg11683] Re: [mg11635] RE: Re: FindRoot


   A useful web site for tutorials:

   http://www.can.nl/CA_Library/Groebner/Tutorials/index.html

   For the Mathematica take on these, you could try "Groebner bases in
   Mathematica 3.0" by myself, The Mathematica
   Journal Vol 6 issue 4 (Fall 1996) pp 81-88. It does not assume alot
of
   knowledge on the part of the reader, although it may be easier to
   follow for those with some university algebra background.

   For a good general, if technical, intro to Groebner bases, I
recommend
   highly all three text book references given in the article cited
above,
   as well as the Buchberger survey article. Abbreviated references for
   these books:

   Cox, Little, O'Shea, "Ideals, Varieties, Algorithms"

   Becker and Weispfenning (with Kredel) "Groebner Bases"

   Adams and Loustaunau, "An Introduction to Groebner Bases"


   Daniel Lichtblau
   Wolfram Research

--------------------------------------------------

dl

• References:
  • Groebner Bases
    • From: Colin L C Fu <es2136@eng.warwick.ac.uk>