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The Dots and Boxes Game
Sophisticated Child's Play
Seiten
2017
CRC Press (Verlag)
978-1-138-42759-4 (ISBN)
CRC Press (Verlag)
978-1-138-42759-4 (ISBN)
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.
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.
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.
Elwyn R. Berlekamp
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
Erscheinungsdatum | 05.09.2017 |
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Reihe/Serie | AK Peters/CRC Recreational Mathematics Series |
Verlagsort | London |
Sprache | englisch |
Maße | 152 x 229 mm |
Gewicht | 331 g |
Themenwelt | Sachbuch/Ratgeber ► Freizeit / Hobby ► Spielen / Raten |
Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika | |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
ISBN-10 | 1-138-42759-4 / 1138427594 |
ISBN-13 | 978-1-138-42759-4 / 9781138427594 |
Zustand | Neuware |
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