On Fri, Mar 16, 2012 at 8:06 AM, Aleksandar Makelov
<amake...@college.harvard.edu> wrote:
> Hi guys,
>
> I'm currently a freshman at Harvard College, probably concentrating in
> mathematics / mathematics and CS. I've done a lot of mathematics in
> high school (math Olympiads) and university (honors linear and
> abstract algebra, real and complex analysis) so far, and I'm
> interested in bringing mathematics and CS together.
>
> I've been dealing with sympy for a couple of weeks now and was
> wondering whether it'd be a good idea for GSoC to implement some more
> complicated combinatorial functionality (e.g. graph algorithms,
> generating functions, recurrence relations, operations on sets,...) ?


networkx implements in python a lot of graph theory. I don't think sympy has an
interface though.
sympy has rsolve for sequences defined by a linear recurrence relation
However, there isn't one for a vector-valued sequence (someone asked about that
the other day on the sage-support list).


>
> Also, I'm currently working on several little functions for
> computation of the Galois group of quadratic/cubic/quartic
> polynomials; I'll probably send the code in a couple of days. Maybe
> I'll be able to develop some GSoC-like ideas in this direction
> (abstract algebra) as well.


Sympy doesn't have much of that, although Sage does.
I think more abstract algebra in sympy would be very useful.

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