Here is a letter I wrote to the son of a friend about games... this time in a dropbox link: https://www.dropbox.com/s/jyezyoziyksqqru/games.pdf?dl=0 - Cris On Jul 21, 2015, at 7:28 AM, rkg <rkg@ucalgary.ca> wrote:
Combinatorial game theory is not an easy subject. THE BOOK was the best that we could do. Conway's On Numbers and Games shows that the subject is a genuine branch of mathematics. Don Knuth's Surreal Numbers is a readable introduction to the new stuff. Albert, Nowakowski & Wolfe, Lessons in Play, makes it possible to give a rather tough undergraduate course. Aaron Siegel's Combinatorial Game Theory is a superb graduate text, revealing the enormous difficulty of the subject. Berlekamp & Wolfe, Mathematical Go, shows that there are connexions with the real world, as does Berlekamp's Dots and Boxes. If there are people out there who are willing to spend a great deal of time and effort with very little chance of reward, then there are the three volumes of conference proceedings, Games of No Chance. Best of luck!! R.
On Mon, 20 Jul 2015, James Propp wrote:
A smart high school student whom I'm mentoring has expressed interest in learning about combinatorial game theory. My first thought was to recommend "Winning Ways", but I think it might be better to start her on something shorter and more focused, and then suggest "Winning Ways" if the shorter book whets her appetite for more. Any suggestions?
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