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Martin Gardner in the Twenty-First Century

Martin Gardner in the Twenty-First Century

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Martin Gardner, Gillian Saenz, Christopher Jackson, Ryan Crumley, Greg W. Frederickson, Karl Schaffer, Richard P. Jerrard, John E. Wetzel, Arthur T. Benjamin, David Applegate, Marc LeBrun, N. J. A. Sloane, Robert Bekes, Jean Pedersen, Bin Sha, sarah-marie belcastro, Tomasz Bartnicki, Jaroslaw Grytczuk, H. A. Kierstead, Xuding Zhu, Ethan J. Berkove, Jeffrey P. Dumont, Ionut E. Iacob, T. Bruce McLean, Hua Wang, Les Pook, David Callan,Thomas Koshy, Z. Gao, Tiina Hohn, Andy Liu, Frederick V. Henle, James M. Henle, John Beasley, Alexander Karabegov, Jason Holland, John J. Watkins, Ian Stewart, Brian Hopkins, Hsin-Po Wang, Owen O'Shea, Yossi Elran, Aviezri Fraenkel, Christopher N. Swanson, Stephen Lucas, Jason Rosenhouse, Andrew Schepler, Darren Glass, Jorge Moraleda, David G. Stork, Tanya Khovanova, John Stillwell, Clement Falbo, Philip Straffin
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  • Date Published: No date available
  • availability: Temporarily unavailable - available from TBC
  • format: Paperback
  • isbn: 9781107644373

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About the Authors
  • The prodigious writings of Martin Gardner, from his Mathematical Games column in Scientific American to the 70-plus books he authored, had an enormous influence on the field of recreational mathematics. This book collects articles Gardner wrote for the MAA in the twenty-first century, together with other articles the MAA published from 1999 to 2012 that are inspired by his work. Eight of Gardner's articles are presented here: together they represent his playful and engaging approach to recreational mathematics, and the breadth of his interests, spanning geometry, number theory, graph theory, probability, and pseudo-science. The remaining 33 chapters are a diverse collection of responses to Gardner's work, many of which address open problems. This book is a tribute to the deep and lasting impact of a prolific and brilliant writer. It is for anyone who, like Martin Gardner, loves mathematics.

    • A volume dedicated to a world-famous recreational mathematician
    • The chapters within cover the breadth of Gardner's interests
    • An inspiring and entertaining book for anyone who loves mathematics
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    Reviews & endorsements

    'I think no lover of Martin Gardner topics can afford not to add this book to his or her collection.' The European Mathematical Society (euro-math-soc.eu)

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    Product details

    • format: Paperback
    • isbn: 9781107644373
    • contains: 211 b/w illus. 13 tables
    • availability: Temporarily unavailable - available from TBC
  • Table of Contents

    Preface
    Part I. Geometry:
    1. The asymmetric propeller Martin Gardner
    2. The asymmetric propeller revisited Gillian Saenz, Christopher Jackson, and Ryan Crumley
    3. Bracing regular polygons as we race into the future Greg W. Frederickson
    4. A Platonic Sextet for Strings Karl Schaffer
    5. Prince Rupert's rectangles Richard P. Jerrard and John E. Wetzel
    Part II. Number Theory and Graph Theory:
    6. Transcendentals and early birds Martin Gardner
    7. Squaring, cubing, and cube rooting Arthur T. Benjamin
    8. Carryless arithmetic mod 10 David Applegate, Marc LeBrun and N. J. A. Sloane
    9. Mad tea party cyclic partitions Robert Bekes, Jean Pedersen and Bin Sha
    10. The continuing saga of snarks Sarah-Marie Belcastro
    11. The map-coloring game Tomasz Bartnicki, Jaroslaw Grytczuk, H. A. Kierstead and Xuding Zhu
    Part III. Flexagons and Catalan Numbers:
    12. It's okay to be square If you're a flexagon Ethan J. Berkove and Jeffrey P. Dumont
    13. The V-flex, triangle orientation, and Catalan numbers in hexaflexagons Ionut E. Iacob, T. Bruce McLean and Hua Wang
    14. From hexaflexagons to edge flexagons to point flexagons Les Pook
    15. Flexagons lead to a Catalan number identity David Callan
    16. Convergence of a Catalan series Thomas Koshy and Z. Gao
    Part IV. Making Things Fit:
    17. L-tromino tiling of mutilated chessboards Martin Gardner
    18. Polyomino dissections Tiina Hohn and Andy Liu
    19. Squaring the plane Frederick V. Henle and James M. Henle
    20. Magic knight's tours John Beasley
    21. Some new results on magic hexagrams Martin Gardner
    22. Finding all solutions to the magic hexagram Alexander Karabegov and Jason Holland
    23. Triangular numbers, Gaussian integers, and KenKen John J. Watkins
    Part V. Further Puzzles and Games
    24. Cups and downs Ian Stewart
    25. 30 years of Bulgarian solitaire Brian Hopkins
    26. Congo bongo Hsin-Po Wang
    27. Sam Loyd's courier problem with Diophantus, Pythagoras, and Martin Gardner Owen O'Shea
    28. Retrolife and the pawns neighbors Yossi Elran
    29. RATWYT Aviezri Fraenkel
    Part VI. Cards and Probability
    30. Modeling mathematics with playing cards Martin Gardner
    31. The probability an amazing card trick is dull Christopher N. Swanson
    32. The Monty Hall problem, reconsidered Stephen Lucas, Jason Rosenhouse and Andrew Schepler
    33. The secretary problem from the applicant's point of view Darren Glass
    34. Lake Wobegon dice Jorge Moraleda and David G. Stork
    35. Martin Gardner's mistake Tanya Khovanova
    Part VII. Other Aspects of Martin Gardner:
    36. Against the odds Martin Gardner
    37. A modular miracle John Stillwell
    38. The golden ratio—a contrary viewpoint Clement Falbo
    39. Review of The Mysterious Mr. Ammann by Marjorie Senechal Philip Straffin
    40. Review of PopCo by Scarlett Thomas Martin Gardner
    41. Superstrings and Thelma Martin Gardner
    Index
    About the editors.

  • Editors

    Michael Henle, Oberlin College, Ohio
    Michael Henle is a professor of mathematics at Oberlin College. He is the author of several books including "Which Numbers are Real?" published by the MAA in 2012. Trained as a functional analysis, he also writes on combinatorial subjects and geometry. He is serving as editor of The College Mathematics Journal through to 2013.

    Brian Hopkins, Saint Peter's College, New Jersey
    Brian Hopkins is a professor of mathematics at Saint Peter's University in Jersey City, New Jersey. He won, with Robin Wilson, the 2005 George Polya Award, edited the 2008 MAA Notes volume Resources for Teaching Discrete Mathematics, and was given the 2011 MAA New Jersey Section Award for Distinguished College or University Teaching of Mathematics. Much of his research stems from Bulgarian Solitaire, a topic popularized by Martin Gardner. Hopkins will be the editor of the College Mathematics Journal from 2014 to 2018.

    Contributors

    Martin Gardner, Gillian Saenz, Christopher Jackson, Ryan Crumley, Greg W. Frederickson, Karl Schaffer, Richard P. Jerrard, John E. Wetzel, Arthur T. Benjamin, David Applegate, Marc LeBrun, N. J. A. Sloane, Robert Bekes, Jean Pedersen, Bin Sha, sarah-marie belcastro, Tomasz Bartnicki, Jaroslaw Grytczuk, H. A. Kierstead, Xuding Zhu, Ethan J. Berkove, Jeffrey P. Dumont, Ionut E. Iacob, T. Bruce McLean, Hua Wang, Les Pook, David Callan,Thomas Koshy, Z. Gao, Tiina Hohn, Andy Liu, Frederick V. Henle, James M. Henle, John Beasley, Alexander Karabegov, Jason Holland, John J. Watkins, Ian Stewart, Brian Hopkins, Hsin-Po Wang, Owen O'Shea, Yossi Elran, Aviezri Fraenkel, Christopher N. Swanson, Stephen Lucas, Jason Rosenhouse, Andrew Schepler, Darren Glass, Jorge Moraleda, David G. Stork, Tanya Khovanova, John Stillwell, Clement Falbo, Philip Straffin

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