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For anyone interested in this subject I'd highly recommend the Algorithm Design Manual by Steven Skiena[0]. He goes over this in pretty good detail in the first ~1/4 of the book. This was my first introduction to Algorithm Complexity Analysis and by the end of that section I already found myself looking at my code in a different light.

[0] http://www.amazon.com/dp/1849967202

I would recommend the Introduction to Algorithms by Cormen. It covers not only the complexity analysis but also describes the most important algorithms, data structures and classical problems solutions. http://www.amazon.com/dp/0262033844

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