The Dots and Boxes Game: Sophisticated Child's Play

ISBN-13: 9781138427594 / Angielski / Twarda / 2017

Elwyn R. Berlekamp

Opis

Here, the game "dots and boxes" 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