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The mathematics of various entertaining subjects.Volume 2 :research in games, graphs, counting, and complexity /edited by Jennifer Beineke & Jason Rosenhouse ; with a foreword by Ron Graham

Beineke Jennifer Elaine editor Rosenhouse Jason editor

Princeton : New York : Princeton University Press Published in association with the National Museum of Mathematics [2017]

1 online resource

Includes bibliographical references and index. / The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books, research in recreational mathematics has often been neglected. This book returns with a brand-new compilation of fascinating problems and solutions in recreational mathematics. It gathers together the top experts in recreational math and presents a compelling look at board games, card games, dice, toys, computer games, and much more. The book is divided into five parts: puzzles and brainteasers, geometry and topology, graph theory, games of chance, and computational complexity. Readers will discover what origami, roulette wheels, and even the game of Trouble can teach about math. Chapters contain new results, and include short expositions on the topic's background, providing a framework for understanding the relationship between serious mathematics and recreational games. Mathematical areas explored include combinatorics, logic, graph theory, linear algebra, geometry, topology, computer science, operations research, probability, game theory, and music theory.

Part I. Puzzles and brainteasers. The cyclic prisoners / Dragons and Kasha / The history and future of logic puzzles / The tower of Hanoi for humans / Frenicle's 880 magic squares / Part II. Geometry and topology. A triangle has eight vertices but only one center / Enumeration of solutions to Gardner's paper cutting and folding problem / The color cubes puzzle with two and three colors / Tangled tangles / Part III. Graph theory. Making walks count : from silent circles to Hamiltonian cycles / Duels, truels, gruels, and survival of the unfittest / Trees, trees, so many trees / Crossing numbers of complete graphs / Part IV. Games of chance. Numerically balanced dice / A sequence game on a Roulette wheel / Part V. Computational complexity. Multinational war is hard / Clickomania is hard, even with two colors and columns / Computational complexity of arranging music /

9781400889136 1400889138

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