Beineke / Rosenhouse The Mathematics of Various Entertaining Subjects

Research in Recreational Math
1. Auflage 2015
ISBN: 978-1-4008-8133-8
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 288 Seiten

No detailed description available for "The Mathematics of Various Entertaining Subjects".

Autoren/Hrsg.

Beineke, Jennifer

Rosenhouse, Jason

Weitere Mitwirkende

Smullyan, Raymond M.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Populäre Darstellungen der Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik

Inhaltsverzeichnis

Foreword by Raymond Smullyan vii

Preface and Acknowledgments x

PART I VIGNETTES

1 Should You Be Happy? 3

Peter Winkler

2 One-Move Puzzles with Mathematical Content 11

Anany Levitin

3 Minimalist Approaches to Figurative Maze Design 29

Robert Bosch, Tim Chartier, and Michael Rowan

4 Some ABCs of Graphs and Games 43

Jennifer Beineke and Lowell Beineke

PART II PROBLEMS INSPIRED BY CLASSIC PUZZLES

5 Solving the Tower of Hanoi with Random Moves 65

Max A. Alekseyev and Toby Berger

6 Groups Associated to Tetraflexagons 81

Julie Beier and Carolyn Yackel

7 Parallel Weighings of Coins 95

Tanya Khovanova

8 Analysis of Crossword Puzzle Difficulty Using a Random Graph Process 105

John K. McSweeney

9 From the Outside In: Solving Generalizations of the Slothouber-Graatsma-Conway Puzzle 127

Derek Smith

PART III PLAYING CARDS

10 Gallia Est Omnis Divisa in Partes Quattuor 139

Neil Calkin and Colm Mulcahy

11 Heartless Poker 149

Dominic Lanphier and Laura Taalman

12 An Introduction to Gilbreath Numbers 163

Robert W. Vallin

PART IV GAMES

13 Tic-tac-toe on Affine Planes 175

Maureen T. Carroll and Steven T. Dougherty

14 Error Detection and Correction Using SET 199

Gary Gordon and Elizabeth McMahon

15 Connection Games and Sperner’s Lemma 213

David Molnar

PART V FIBONACCI NUMBERS

16 The Cookie Monster Problem 231

Leigh Marie Braswell and Tanya Khovanova

17 Representing Numbers Using Fibonacci Variants 245

Stephen K. Lucas

About the Editors 261

About the Contributors 263

Index 269

Über Autor(innen)

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.