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The Best Writing on Mathematics 2017
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The Best Writing on Mathematics 2017

The Best Writing on Mathematics 2017

Mircea pitici (editor)

248 pages, parution le 10/12/2017

Résumé

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.

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 Sinéad 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 Blåsjö 99

Rendering Pacioli's Rhombicuboctahedron Carlo H. Séquin 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

The year's finest mathematics writing from around the world

This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2017 makes available to a wide audience many articles not easily found anywhere else-and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates.

Here Evelyn Lamb describes the excitement of searching for incomprehensibly large prime numbers, Jeremy Gray speculates about who would have won math's highest prize-the Fields Medal-in the nineteenth century, and Philip Davis looks at mathematical results and artifacts from a business and marketing viewpoint. In other essays, Noson Yanofsky explores the inherent limits of knowledge in mathematical thinking, Jo Boaler and Lang Chen reveal why finger-counting enhances children's receptivity to mathematical ideas, and Carlo Séquin and Raymond Shiau attempt to discover how the Renaissance painter Fra Luca Pacioli managed to convincingly depict his famous rhombicuboctahedron, a twenty-six-sided Archimedean solid. And there's much, much more.

In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us-and where it is headed.

IllustrationsQA1Mathematics - Periodicals.1New JerseyPrinceton9781400888559edited by Mircea Pitici."With a shrewd eye for topics both obscure and practical, Pitici chooses a variety of thoroughly accessible works that tie abstract math to the real world in this eighth installment of the annual series. . . . Pitici gives readers an entertaining look at the odd, the amusing, and the utilitarian without requiring any more than a readerly curiosity."--Publishers Weekly

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
The Best Writing on Mathematics

Caractéristiques techniques

  PAPIER
Éditeur(s) Princeton univ
Auteur(s) Mircea pitici (editor)
Parution 10/12/2017
Nb. de pages 248
Format 14 x 216
Poids 13000g
EAN13 9780691178639

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