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As for studying proofs, _How To Prove It_ [1] is indeed a good book. You may also be interested in _Book of Proof_ [2], which is available under a Creative Commons license. (You can download the PDF for free, and you can order it from Amazon [3] if you want a hard copy.)

[1] http://www.amazon.com/dp/0521675995/

[2] http://www.people.vcu.edu/~rhammack/BookOfProof/index.html

[3] http://www.amazon.com/dp/0982406207/




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