Does anyone knows some Hard Math Problems for ICPC Training ? And if it's possible I'd like some links or some books where I can improve my Math Skills for ICPC.
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http://www.math.purdue.edu/pow/ If you would just ignore problems that are too unlikely in a programming setting (like involving limits), I think this is a good source to improve your mathematical thinking skills.
There are some problems posted by Anton_Lunyov here: http://codeforces.com/blog/entry/1520#comment-29431
You also have: http://projecteuler.net/ http://mathalon.in/Mathalon/