The Best Writing on Mathematics 2019
The year's finest mathematical 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 2019 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 essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today's hottest mathematical debates.

In this volume, Moon Duchin explains how geometric-statistical methods can be used to combat gerrymandering, Jeremy Avigad illustrates the growing use of computation in making and verifying mathematical hypotheses, and Kokichi Sugihara describes how to construct geometrical objects with unusual visual properties. In other essays, Neil Sloane presents some recent additions to the vast database of integer sequences he has catalogued, and Alessandro Di Bucchianico and his colleagues highlight how mathematical methods have been successfully applied to big-data problems. And there's much, much more.

In addition to presenting the year's most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable writings on mathematics.

This is a must-read for anyone interested in where math has taken us—and where it is headed.

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The Best Writing on Mathematics 2019
The year's finest mathematical 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 2019 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 essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today's hottest mathematical debates.

In this volume, Moon Duchin explains how geometric-statistical methods can be used to combat gerrymandering, Jeremy Avigad illustrates the growing use of computation in making and verifying mathematical hypotheses, and Kokichi Sugihara describes how to construct geometrical objects with unusual visual properties. In other essays, Neil Sloane presents some recent additions to the vast database of integer sequences he has catalogued, and Alessandro Di Bucchianico and his colleagues highlight how mathematical methods have been successfully applied to big-data problems. And there's much, much more.

In addition to presenting the year's most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable writings on mathematics.

This is a must-read for anyone interested in where math has taken us—and where it is headed.

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The Best Writing on Mathematics 2019

The Best Writing on Mathematics 2019

The Best Writing on Mathematics 2019

The Best Writing on Mathematics 2019

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Overview

The year's finest mathematical 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 2019 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 essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today's hottest mathematical debates.

In this volume, Moon Duchin explains how geometric-statistical methods can be used to combat gerrymandering, Jeremy Avigad illustrates the growing use of computation in making and verifying mathematical hypotheses, and Kokichi Sugihara describes how to construct geometrical objects with unusual visual properties. In other essays, Neil Sloane presents some recent additions to the vast database of integer sequences he has catalogued, and Alessandro Di Bucchianico and his colleagues highlight how mathematical methods have been successfully applied to big-data problems. And there's much, much more.

In addition to presenting the year's most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable writings on mathematics.

This is a must-read for anyone interested in where math has taken us—and where it is headed.


Product Details

ISBN-13: 9780691198354
Publisher: Princeton University Press
Publication date: 11/05/2019
Series: The Best Writing on Mathematics , #8
Pages: 304
Product dimensions: 5.50(w) x 8.40(h) x 0.80(d)

About the Author

Mircea Pitici teaches mathematics at Syracuse University and has edited The Best Writing on Mathematics since 2010. He lives in Ithaca, New York.

Table of Contents

Color illustrations follow page 80

Introduction Mircea Pitici ix

Geometry v. Gerrymandering Moon Duchin 4

Slicing Sandwiches, States, and Solar Systems: Can Mathematical Tools Help Determine What Divisions Are Provably Fair? Theodore P. Hill 12

Does Mathematics Teach How to Think? Paul J. Campbell 27

Abstracting the Rubik's Cube Roice Nelson 43

Topology-Disturbing Objects: A New Class of 3D Optical Illusion Kokichi Sugihara 53

Mathematicians Explore Mirror Link between Two Geometric Worlds Kevin Hartnett 74

Professor Engel's Marvelously Improbable Machines James Propp 81

The On-Line Encyclopedia of Integer Sequences Neil J. A. Sloane 90

Mathematics for Big Data Alessandro Di Bucchianico Laura Iapichino Nelly Litvak Frank Van Der Meulen Ron Wehrens 120

The Un(solv)able Problem Toby S. Cubitt David Pérez-García Michael Wolf 132

The Mechanization of Mathematics Jeremy Avigad 150

Mathematics as an Empirical Phenomenon, Subject to Modeling Reuben Hersh 171

Does 2 + 3 = 5? In Defense of a Near Absurdity Mary Leng 186

Gregory's Sixth Operation Tiziana Bascelli Piotr Blaszczyk Vladimir Kanovei Karin U. Katz Mikhail G. Katz Semen S. Kutateladze Tahl Nowik David M. Schaps David Sherry 195

Kolmogorov Complexity and Our Search for Meaning: What Math Can Teach Us about Finding Order in our Chaotic Lives Noson S. Yanofsky 208

Ethics in Statistical Practice and Communication: Five Recommendations Andrew Gelman 214

The Fields Medal Should Return to Its Roots Michael J. Barany 224

The Erdös Paradox Melvyn B. Nathanson 232

Contributors 241

Notable Writings 251

Acknowledgments 269

Credits 271

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