On Mon, 23 Aug 2010 19:47:12 -0700 (PDT), rjf <fate...@gmail.com> wrote:
> Maybe an alternative viewpoint  (perhaps taken by Axiom, and maybe
> Sage) is
> 
> (a) if you want to use a computer algebra system (especially one
> accessed through Sage) effectively  then
> (b) you should know something about "modern algebra", at least so as
> to be conversant with the notions
> of ring, field, polynomial, ...  and preliminary notions.  This could
> take about an hour of reading,
> especially if you leave out proofs.

And maybe we can even work some of this into the tutorial: some examples
of situations where you want to use the "ring" parameter together with a
note that "ring=number system" or even "ring=RR or CC or QQ".
Mathematicians reading this are not likely to be confused by it, and
non-mathematicians might not run away screaming.

People are likely to know what a polynomial *function* is, and we might
not need to make them aware that it's not the same thing as a
polynomial.  But another bit that could go into the tutorial is some
good examples where you want to use polynomials instead of symbolics.


Best,
Alex


-- 
Alex Ghitza -- http://aghitza.org/
Lecturer in Mathematics -- The University of Melbourne -- Australia

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