Re: Steps towards writing a computer algebra system

From: Richard J. Fateman (fateman_at_eecs.berkeley.edu)
Date: 01/18/05 

Date: Tue, 18 Jan 2005 11:55:31 -0800

These books would definitely not tell you how to write
a computer algebra system.

They have some interesting material, but a careful reading
of some of these will give you reliably bad advice on
what makes sense to include in an actual program.

In fact it might make an interesting chart to fill out

recommendations implemented by
as "best" algorithm Macsyma/Reduce/Mma/Maple/NTL/GiNAC/.

Then we would have to admit that most of the "optimal" algorithms
are not used by some of the most intensively developed systems.

Because they are not useful enough (slow on practical sizes, not general
enough) and sometimes difficult to write out in full detail and debug.

RJF

Klueless wrote:
> "Mike" <mike_in_england2000@yahoo.co.uk> wrote in message news:f151b240.0501180835.6a31093c@posting.google.com...
>
>>I am rather lost on where to start.
>
>
> Computer Algebra, Systems and Algorithms for Algebraic
> Computation by J. H. Davenport, Y. Siret, E. Tournier
>
> Modern Computer Algebra by Joachim von zur Gathen and
> Jurgen Gerhard
>
> Algorithms for Computer Algebra by Keith O. Geddes,
> Stephen R. Czapor, George Labahn
>
> Computer Algebra Symbolic and Algebraic Computation
> edited by B. Buchberger, G. E. Collins, and R. Loos in
> cooperation with R. Albrecht
>
>
>

Relevant Pages

  • Re: Steps towards writing a computer algebra system /bad ideas from books
    ... The mathematical algorithms ... The encyclopedic Modern Computer Algebra ... GCD used by Maple is described only in an exercise, ... PRS, which has been known since the early 1970s to be the best PRS, ...
    (sci.math.symbolic)
  • Re: Symbolic factorization algorithm
    ... there are algorithms for polynomial factoring. ... >> in books on the subject of computer algebra. ... Handbook of Computer Algebra, JOHANNES GRABMEIER, ERICH KALTOFEN & ...
    (sci.math.symbolic)
  • Re: Mathematical Algorithms
    ... There are lots of books on algorithms for computer algebra systems. ... expressions probabilistic modular methods. ...
    (sci.math)
  • Re: Gama Function
    ... You do not give a general formula for arbitrary rational arguments 0 < ... compare with the algorithms currently used in computer algebra ...
    (sci.math.symbolic)
  • Re: Symbolic programming for dummies
    ... but written in a language like C or C++ or other. ... And is there like a book which teaches symbolic math programming (I ... Computer Algebra and Symbolic Computation: Elementary Algorithms ISBN ...
    (sci.math.symbolic)