in reply to Project ideas
I've got a copy of Primes and Programming by Peter Giblin, Cambridge University Press, 1993, which let me play with Perl and Number Theory in several small projects, which built on each other.
There are numerous puzzles and contests gone by which you can make your own attempt. To get you started:
&bull MJD's Quiz of the WeekThere are many others. You should look for problems that interest you, or might be useful in your future "serious" projects.
&bull ICFPC past contests
-QM
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Quantum Mechanics: The dreams stuff is made of
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