Introduction Mircea Pitici ix Mathematical Products Philip J. Davis 1 The Largest Known Prime Number Evelyn Lamb 7 A Unified Theory of Randomness Kevin Hartnett 10 An "Infinitely Rich" Mathematician Turns 100 Siobhan Roberts 24 Inverse Yogiisms Lloyd N. Trefethen 28 Ramanujan in Bronze Gerald L. Alexanderson 37 Creating Symmetric Fractals Larry Riddle 45 Projective Geometry in the Moon Tilt Illusion Marc Frantz 54 Girih for Domes: Analysis of Three Iranian Domes Mohamm adhossein Kasraei, Yahya Nourian, and Mohamm adjavad Mahdavinejad 64 Why Kids Should Use Their Fingers in Math Class Jo Boaler and Lang Chen 76 Threshold Concepts and Undergraduate Mathematics Teaching Sinead Breen and Ann O'Shea 82 Rising above a Cause-and-Effect Stance in Mathematics Education Research John Mason 93 How to Find the Logarithm of Any Number Using Nothing but a Piece of String Viktor Blasjoe 99 Rendering Pacioli's Rhombicuboctahedron Carlo H. Sequin and Raymond Shiau 106 Who Would Have Won the Fields Medal 150 Years Ago? Jeremy Gray 121 Paradoxes, Contradictions, and the Limits of Science Noson S. Yanofsky 130 Stairway to Heaven: The Abstract Method and Levels of Abstraction in Mathematics Jean-Pierre Marquis 145 Are Our Brains Bayesian? Robert Bain 172 Great Expectations: The Past, Present, and Future of Prediction Graham Southorn 182 Contributors 193 Notable Writings 199 Acknowledgments 221 Credits 223 Introduction
Mircea Pitici teaches advanced calculus at Syracuse University. He holds a PhD in mathematics education from Cornell University and is working on a master's degree in library and information science at Syracuse's iSchool. He has edited The Best Writing on Mathematics since 2010.
Praise for previous editions: "A volume of unexpectedly fascinating mathematical research, musings, and studies that explore subjects from art to medicine... [R]eaders from many disciplines will find much to pique their interest."--Publishers Weekly Praise for previous editions: "Entertaining and informative."--Ian D. Gordon, Library Journal Praise for previous editions: "Wonderful... [C]annot be recommended highly enough!"--Robert Schaefer, New York Journal of Books Praise for previous editions: "A wonderful and varied bouquet of texts... I highly recommend this book to everyone with an interest in mathematics."--Stephen Buckley, Irish Mathematical Society Bulletin
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