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 exploring puzzles and brainteasers, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects brings together authors from a variety of specialties to present fascinating problems and solutions in recreational mathematics.
Contributors to the book show how sophisticated mathematics can help construct mazes that look like famous people, how the analysis of crossword puzzles has much in common with understanding epidemics, and how the theory of electrical circuits is useful in understanding the classic Towers of Hanoi puzzle. The card game SET is related to the theory of error-correcting codes, and simple tic-tac-toe takes on a new life when played on an affine plane. Inspirations for the book's wealth of problems include board games, card tricks, fake coins, flexagons, pencil puzzles, poker, and so much more.
Looking at a plethora of eclectic games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.
Jennifer Beineke is professor of mathematics at Western New England University. Jason Rosenhouse is professor of mathematics at James Madison University. He is the author of The Monty Hall Problem and the coauthor of Taking Sudoku Seriously.
"Beineke and Rosenhouse have compiled and edited a fantastic collection of essays dealing with popular mathematics. . . . Anybody who enjoys reading about recreation mathematics should definitely explore these writings."--Choice
"This entertaining yet rigorous book of recreational mathematical masterpieces presents centuries-old puzzles and new inventions that illustrate the continuing allure of recreational mathematics. The contributions are up-to-date, well illustrated, and startle with unexpected connections. Lay readers and connoisseurs will find imaginative and instructive delights."--Mircea Pitici, editor of The Best Writing on Mathematics
"A pleasure to read, this inviting book spans the broad range of topics in recreational mathematics, and the contributors are well-respected names in the field. Probability calculations, Fibonacci numbers, continued fractions, card tricks, strategies in games, and coin-weighing problems are all included, and in ways that reinforce each other."--Philip Straffin, professor emeritus of mathematics, Beloit College
"The Mathematics of Various Entertaining Subjects provides a plethora of elegant and surprising mathematical results that were originally motivated by, or found applications in, games and puzzles. The diverse questions, engaging work, and novel, often beautiful solutions make this book an excellent survey and introduction to this kind of analysis."--David Neel, Seattle University
Table of Contents
Another Princeton book authored or coauthored by Raymond M. Smullyan:
Published in association with the National Museum of Mathematics