Fair Game: How to Play Impartial Combinatorial Games (Exploration in Math Series)
8.50 X 11.00 black and white, staple bound book.
Fair Game suggests successful
strategies to play and win
impartial combinatorial games.
Beginning with a simple nim-sum
game and adding combinatorial
requirements, the subsequent games
paint a powerful picture of game
theory and the human element of
choice as they relate to mathematics.
Is a game "partizan" or "impartial"?
Do all combinatorial games follow
Read Fair Game and
remove the element
of chance from the
skills by playing
Nimble, Nim, Poker
Nim, Bogus Nim-heaps,
The Mex Rule, Cram,
Kayles, Grundy's Game, She-
Brussels Sprouts, Dawson's
Chess, Welter's Game, and Frieze
Patterns, each complete with
exercises and solutions.
Sums of Games
The Mex Rule
The Sprague-Grundy Theory
Octal Games and the Guy-Smith Code
When Are Nim-Sequences Periodic?
Sparse Spaces and Common Cosets
Misere Nim and an Awful Warning
The Mating Method
Answers to Exercises