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Dec 22, 2011 at 6:07 comment added Zack Wolske Winning Ways is fantastic for combinatorial number theory, because everything is built up through games which anyone can play, and numbers only come in as a notation to keep track of who is ahead in the game. Plus the "numbers" include surreal numbers like stars and arrows. I remember seeing this during a math summer camp when I was 15 and being shocked that something that wasn't a number (like "double up star") could be used to count things, and that those numbers could be combined (added) in a meaningful way.
Dec 22, 2011 at 2:51 comment added Joseph O'Rourke Maybe Game Theory and Strategy by Philip Straffin, Jr.? It is an MAA Textbook. A reviewer said, "The only mathematical background necessary is that found in the college-track high-school curriculum."
Dec 22, 2011 at 1:40 history answered Phil Isett CC BY-SA 3.0