May I suggest a couple of books? How to Solve It by George Pólya's 1945 http://www.amazon.com/How-Solve-Aspect-Mathematical-Method/dp/0691023565 http://www.a

May I suggest a couple of books? How to Solve It by George Pólya's 1945 http://www.amazon.com/How-Solve-Aspect-Mathematical-Method/dp/0691023565 http://www.amazon.com/How-Solve-Aspect-Mathematical-Method/d... and The Art of Doing Science and Engineering Learning to Learn by Richard W.Hamming http://www.amazon.com/gp/product/9056995014/ref=olp_product_details?ie=UTF8&coliid=I21NW9N1WZK269 http://www.amazon.com/gp/product/9056995014/ref=olp_product_... Great books, and they will introduce you to learn the mathematical thinking, so you can deduce the patterns yourself. Great for math and hack I think.