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Dots and Boxes Game: Sophisticated Child's Play [Minkštas viršelis]

4.00/5 (50 ratings by Goodreads)
  • Formatas: Paperback / softback, 144 pages, aukštis x plotis: 229x152 mm, weight: 204 g
  • Serija: AK Peters/CRC Recreational Mathematics Series
  • Išleidimo metai: 18-Jul-2000
  • Leidėjas: A K Peters
  • ISBN-10: 1568811292
  • ISBN-13: 9781568811291
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 144 pages, aukštis x plotis: 229x152 mm, weight: 204 g
  • Serija: AK Peters/CRC Recreational Mathematics Series
  • Išleidimo metai: 18-Jul-2000
  • Leidėjas: A K Peters
  • ISBN-10: 1568811292
  • ISBN-13: 9781568811291
Kitos knygos pagal šią temą:
The strategies for playing Dots and Boxes a paper-and-pencil game that many know from childhood can introduce mathematical game theory, a subject of particular importance in economics. This guide to the game teaches the mathematical underpinnings of strategies that mathematicians have agonized over for decades. Chapters of strategy are interspersed with abundant sample problems and their solutions. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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.
Preface ix
Dots-and-Boxes---An Introduction
3(8)
Strings-and-Coins
11(2)
Elementary Chain Counting Problems
13(10)
Advanced Chain Counting
23(4)
Advanced Chain Counting Problems
27(12)
Nimber Values for Nimstring Graphs
39(14)
Elementary Problems with Nimbers
53(6)
More about Nimstring, Arrays, Mutations, Vines, etc.
59(10)
Advanced Nimstring Problems
69(6)
Playing Dots-and-Boxes with Very Close Scores
75(12)
Dots-and-Boxes Problems with Close Scores
87(30)
Unsolved Problems
117(8)
Bibliography 125(2)
Index 127
Elwyn R. Berlekamp