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The Dots and Boxes Game: Sophisticated Child's Play: AK Peters/CRC Recreational Mathematics Series

Autor Elwyn R. Berlekamp
en Limba Engleză Hardback – 27 iul 2017
The game of Dots-and-Boxes, the popular game in which two players take turns connecting an array of dots to form squares, or "boxes" has long been considered merely a child's game. In this book, however, the author reveals the surprising complexity of the game, along with advanced strategies that will allow the reader to win at any level of gameplay desired. This book is an essential guide to the game of Dots-and-Boxes and its mathematical underpinnings. Chapters of strategy are interspersed with dozens of sample problems and their solutions. Furthermore, the strategies can be applied to several other games, such as Strings-and-Coins and Nimstring.
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Specificații

ISBN-13: 9781138427594
ISBN-10: 1138427594
Pagini: 144
Dimensiuni: 152 x 229 x 13 mm
Greutate: 0.37 kg
Ediția:1
Editura: CRC Press
Colecția A K Peters/CRC Press
Seria AK Peters/CRC Recreational Mathematics Series


Public țintă

General and Professional Practice & Development

Cuprins

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

Descriere

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.