It's not at all important to get it right the first time. It's vitally important to get it right the last time.
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The Haskell approach pretty much is the mathematical approach. And the nice thing about Haskell is that while it's extremely faithful to the pure math, but it's also a very powerful programming language, easily as powerful as C++.
I'd recommend the classic intro to Haskell to start with, or Real World Haskell if you prefer something more practical. Once you've got a few working programs under your belt, here's a pretty readable intro to category theory.
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Peter Krumins' blog about programming, hacking, software reuse, software ideas, computer security, browserling, google and technology.
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