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      1. Naturvetenskap och teknik
      2. Matematik och naturvetenskap
      3. Naturvetenskap:allmänt
      4. Populärvetenskap

      Mathematics of Various Entertaining Subjects

      Research in Recreational Math

      AvJennifer Beineke,Jason Rosenhouse

      Inbunden, Engelska, 2015

      484 kr

      Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

      Beskrivning

      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.

      Produktinformation

      • Utgivningsdatum:2015-12-29
      • Mått:155 x 236 x 25 mm
      • Vikt:658 g
      • Format:Inbunden
      • Språk:Engelska
      • Antal sidor:296
      • Förlag:Princeton University Press
      • Medarbetare:RaymondM. Smullyan
      • ISBN:9780691164038

      Utforska kategorier

      • Populärvetenskap inom Naturvetenskap och teknik

      Mer om författaren

      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.

      Recensioner i media

      One of Choice's Outstanding Academic Titles for 2016 "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

      Innehållsförteckning

      • 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
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