Check out Knuth's book "Surreal Numbers: How two ex-students turned on to pure mathematics and found total happiness". It's a book about discovering new mathema

Check out Knuth's book "Surreal Numbers: How two ex-students turned on to pure mathematics and found total happiness". It's a book about discovering new mathematics, in this case Conway's Surreal Numbers. http://www-cs-faculty.stanford.edu/~knuth/sn.html http://www-cs-faculty.stanford.edu/~knuth/sn.html