The Mathematics of Various Entertaining Subjects : : Research in Games, Graphs, Counting, and Complexity, Volume 2 / / ed. by Jennifer Beineke, Jason Rosenhouse.

• Superior document: Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017
• MitwirkendeR: Adler, Aviv,; Alekseyev, Max A.,; Berkove, Ethan,; Bosch, Robert,; Cervantes-Nava, David,; Condon, Daniel,; Conway, John,; Demaine, Erik D.,; Demaine, Martin L.,; Dietz, Geoffrey D.,; Dunham, Jill Bigley,; Eickemeyer, Andrew,; Elkies, Noam D.,; Fathauer, Robert,; Graham, Ron,; Guy, Richard K.,; Hesterberg, Adam,; Katz, Rachel,; Khovanova, Tanya,; Lanphier, Dominic,; Liu, Quanauan,; Liu, Quanquan,; Michon, Gérard P.,; Moses, William S.,; Norton, Simon,; Rosenhouse, Jason,; Rudoy, Mikhail,; Ryba, Alex,; Schulman, Michael J.,; Schwenk, Allen J.,; Segerman, Henry,; Stockmeyer, Paul K.,; Taylor, Ron,; Uehara, Ryuhei,; Vallin, Robert W.,; Weed, Jonathan,; Whieldon, Gwyneth R.,; Winkler, Peter,
• HerausgeberIn: Beineke, Jennifer,; Rosenhouse, Jason,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2017]; ©2018
• Year of Publication: 2017
• Language: English
• Physical Description: 1 online resource (408 p.) :; 71 color illus. 1 halftone. 76 line illus. 47 tables.

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. The Mathematics of Various Entertaining Subjects now returns with a brand-new compilation of fascinating problems and solutions in recreational mathematics.This latest volume 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. Essays contain new results, and the contributors include short expositions on their 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.Investigating an eclectic mix of games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.

Table of Contents

Frontmatter -- Contents -- Foreword -- Preface and Acknowledgments -- PART I. PUZZLES AND BRAINTEASERS -- 1. The Cyclic Prisoners -- 2. Dragons and Kasha -- 3. The History and Future of Logic Puzzles 23 Jason Rosenhouse -- 4. The Tower of Hanoi for Humans -- 5. Frenicle’s 880 Magic Squares -- PART II GEOMETRY AND TOPOLOGY -- 6. A Triangle Has Eight Vertices But Only One Center -- 7. Enumeration of Solutions to Gardner’s Paper Cutting and Folding Problem -- 8. The Color Cubes Puzzle with Two and Three Colors -- 9. Tangled Tangles -- PART III GRAPH THEORY -- 10. Making Walks Count: From Silent Circles to Hamiltonian Cycles -- 11. Duels, Truels, Gruels, and Survival of the Unfittest -- 12. Trees, Trees, So Many Trees -- 13. Crossing Numbers of Complete Graphs -- PART IV GAMES OF CHANCE -- 14. Numerically Balanced Dice -- 15. A TROUBLE-some Simulation -- 16. A Sequence Game on a Roulette Wheel -- PART V COMPUTATIONAL COMPLEXITY -- 17. Multinational War Is Hard -- 18. Clickomania Is Hard, Even with Two Colors and Columns -- 19. Computational Complexity of Arranging Music -- About the Editors -- About the Contributors -- Index