PERHAPS A GIFT VOUCHER FOR MUM?: MOTHER'S DAY

Close Notification

Your cart does not contain any items

The Mathematics of Various Entertaining Subjects

Research in Games, Graphs, Counting, and Complexity, Volume 2

Jennifer Beineke Jason Rosenhouse

$79.99

Hardback

Not in-store but you can order this
How long will it take?

QTY:

English
Princeton University Press
13 November 2017
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.

Edited by:   ,
Imprint:   Princeton University Press
Country of Publication:   United States
Dimensions:   Height: 235mm,  Width: 152mm, 
Weight:   794g
ISBN:   9780691171920
ISBN 10:   0691171920
Pages:   408
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  General/trade ,  Primary ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Foreword by Ron Graham viiPreface and Acknowledgments xiI PUZZLES AND BRAINTEASERS1 The Cyclic Prisoners 3Peter Winkler2 Dragons and Kasha 11Tanya Khovanova3 The History and Future of Logic Puzzles 23Jason Rosenhouse4 The Tower of Hanoi for Humans 52Paul K. Stockmeyer5 Frenicle's 880 Magic Squares 71John Conway, Simon Norton, and Alex RybaII GEOMETRY AND TOPOLOGY6 A Triangle Has Eight Vertices But Only One Center 85Richard K. Guy7 Enumeration of Solutions to Gardner's Paper Cutting and Folding Problem 108Jill Bigley Dunham and Gwyneth R. Whieldon8 The Color Cubes Puzzle with Two and Three Colors 125Ethan Berkove, David Cervantes-Nava, Daniel Condon, Andrew Eickemeyer, Rachel Katz, and Michael J. Schulman9 Tangled Tangles 141Erik D. Demaine, Martin L. Demaine, Adam Hesterberg, Quanauan Liu, Ron Taylor, and Ryuhei UeharaIII GRAPH THEORY10 Making Walks Count: From Silent Circles to Hamiltonian Cycles 157Max A. Alekseyev and Gerard P. Michon11 Duels, Truels, Gruels, and Survival of the Unfittest 169Dominic Lanphier12 Trees, Trees, So Many Trees 195Allen J. Schwenk13 Crossing Numbers of Complete Graphs 218Noam D. ElkiesIV GAMES OF CHANCE14 Numerically Balanced Dice 253Robert Bosch, Robert Fathauer, and Henry Segerman15 A TROUBLE-some Simulation 269Geoffrey D. Dietz16 A Sequence Game on a Roulette Wheel 286Robert W. VallinV COMPUTATIONAL COMPLEXITY17 Multinational War Is Hard 301Jonathan Weed18 Clickomania Is Hard, Even with Two Colors and Columns 325Aviv Adler, Erik D. Demaine, Adam Hesterberg, Quanquan Liu, and Mikhail Rudoy19 Computational Complexity of Arranging Music 364Erik D. Demaine and William S. MosesAbout the Editors 379About the Contributors 381Index 387

Jennifer Beineke is professor of mathematics at Western New England University. Jason Rosenhouse is professor of mathematics at James Madison University. Beineke and Rosenhouse are the coeditors of The Mathematics of Various Entertaining Subjects: Research in Recreational Math (Princeton).

Reviews for The Mathematics of Various Entertaining Subjects: Research in Games, Graphs, Counting, and Complexity, Volume 2

The editors once again have brought together an extraordinary list of authors to produce nineteen engaging papers, split into five groups: puzzles and brainteasers, geometry and topology, graph theory, games of chance, and computational complexity. . . . It is often deeply challenging mathematically and, as a result, all the more fun. Each reader will find chapters that appeal to them.--MAA Reviews In the second volume of this engaging series, Beineke . . . and Rosenhouse . . . deliver another fantastic collection of essays dealing with popular mathematics. . . . Anyone who enjoys reading about recreational mathematics will find plenty to enjoy and discover in this second volume.--Choice As enticing as a Rubik's Cube, this rigorous and inviting book is a treat to the eyes and mind. The list of contributors is an all-star lineup ready to welcome you into their mathematical rec rooms. Pull up a chair and grab a friend, it's time to be entertained with various mathematical subjects. --Tim Chartier, author of Math Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing The fascinating essays in this collection are written by top scholars who employ diverse mathematical and computational techniques to find surprising answers to intriguing questions. With a nice balance of context and background information, new results, and surveys of known and related results, this book will be useful to a wide array of mathematicians and readers interested in recreational mathematics. --David Richeson, author of Euler's Gem: The Polyhedron Formula and the Birth of Topology Recreational math is an important branch of mathematics. The contributions in The Mathematics of Various Entertaining Subjects are of a very high quality and almost all contain new results. --Anany Levitin, coauthor of Algorithmic Puzzles Every essay in this collection can be appreciated by math enthusiasts of all levels, from high school students to research mathematicians. With work from leading mathematicians such as John Conway, Richard Guy, Bob Bosch, Peter Winkler, Tanya Khovanova, and Erik Demaine, what's not to love? --Arthur Benjamin, author of The Magic of Math: Solving for x and Figuring out Why [This book] is beautiful in that just about every problem could be explained to anybody with almost no mathematics background at all, but the methods of solving them take you deeply into many complex areas of mathematics. The books gathers together problems which pop up through what one might consider 'silly' or 'frivolous' questions, but which lead to new ways of thinking and have applications in enormously wide-ranging areas of mathematics.---Jonathan Shock, Mathemafrica


See Also