Скачать или смотреть Combinatorial Game Theory Part 1

Combinatorial game theory is a branch of mathematics that studies turn-based games of perfect information, partisan and non-partisan alike.

      For the sake of a simple introduction, we will restrict ourselves primarily to the game of Hackenbush, which is a game played on a graph of coloured edges in any configuration, such that      all edges are connected to a 'ground.'

      Technicalities aside, we shall look for and find: partisan and non-partisan variants; an infinite field of characteristic two; numbers large and small and in-between; and new numbers that stretch the very definition of what it means to be a number.
-Logan Nott