The Dots and Boxes Game : Sophisticated Child's Play

ISBN-13: 9781568811291 / Angielski / Miękka / 2000 / 131 str.

Elwyn R. Berlekamp

Opis

Many people remember playing dots and boxes as children, drawing a line across two dots, waiting your turn and trying to complete a box. The one left with the most boxes when the grid is filled, is declared the winner. Like many games, dots and boxes may be played at many levels of sophistication and in this title, it serves as an introduction to mathematical game theory. The title is a guide to the game and its mathematical underpinnings. Chapters on strategy are interspersed with 100 sample problems and their strategic solutions.

Spis treści

Preface, 1. Dots-and-Boxes-An Introduction, 2. Strings-and-Coins, 3. Elementary Chain Counting Problems, 4. Advanced Chain Counting, 5. Advanced Chain Counting Problems, 6. Nimber Values for Nimstring Graphs, 7. Elementary Problems with Nimbers, 8. More about Nimstring, Arrays, Mutations, Vines, etc, 9. Advanced Nimstring Problems, 10. Playing Dots-and-Boxes with Very Close Scores, 11. Dots-and-Boxes Problems with Close Scores, 12. Unsolved Problems, Bibliography, Index

O autorze

Elwyn R. Berlekamp