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Preparing for MATHCOUNTS or the AMC contests, and having a tough time with number theory problems? Read Art of Problem Solving's Introduction to Number Theory by Mathew Crawford.
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The Art and Craft of Problem Solving

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The Art and Craft of Problem Solving by Paul Zeitz, former coach of the U.S. IMO team, is generally thought of as a good mathematical book for when one is finished with the Art of Problem Solving.

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