Hi Kristin,
not a book, but Project Euler (<http://projecteuler.net/>) is a great
repository of mathematical problems ordered by difficulty and designed
to be solved by programs. Many of the problems would make excellent
starting points for being expanded into deeper programming exercises
with milestone goals for students in addition to the pursuit of the
end solution.
Cheers,
--
Ivan Krstić <[email protected]> | http://radian.org
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