Along these lines, check out (and maybe quote) the July 2007 note from Doug McIlroy to the Haskell list:
http://www.haskell.org/pipermail/haskell/2007-July/019632.html

I've particularly been enjoying Doug's paper "The Music of Streams", mentioned in that note.

   - Conal

On Mon, May 26, 2008 at 11:49 AM, Henning Thielemann <lemming@henning-thielemann.de> wrote:

On Mon, 26 May 2008, Brent Yorgey wrote:

Hi all!

In a couple weeks I will be giving a short (15-min.) talk to an audience of
mostly mathematicians, entitled "Executable Mathematics: A Whirlwind
Introduction to Haskell".  The idea will be to give a flavor of Haskell, its
uniquenesses, and why it is a great language for playing around with
mathematics, by way of some well-chosen examples.  There are definitely
plenty of such examples out there, and I've already found quite a few that I
might use, but I thought I would send an email to the cafe to ask whether
anyone has any code which you think particularly exemplifies some aspect of
why Haskell is a great language for mathematics.  I'm looking to include a
wide range of examples, so any length (from a few to hundreds of lines of
code) and any level (from simple number theory to things only a few people
in the world understand) are fair game.

The mathematical examples I like most are power series (including elegant solution of differential equations and series inversion) and computable real numbers.

http://hackage.haskell.org/cgi-bin/hackage-scripts/package/numeric-prelude

http://darcs.haskell.org/numericprelude/src/MathObj/PowerSeries/DifferentialEquation.hs

http://darcs.haskell.org/numericprelude/docs/README


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