The Best Writing on Mathematics 2019

Couverture
Mircea Pitici
Princeton University Press, 5 nov. 2019 - 304 pages

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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Table des matières

Geometry v Gerrymandering
1
Can Mathematical Tools Help Determine What Divisions Are Provably Fair?
12
Does Mathematics Teach How to Think?
27
Abstracting the Rubiks Cube
43
A New Class of 3D Optical Illusion
53
Mathematicians Explore Mirror Link between Two Geometric Worlds
74
Illustrations
81
Professor Engels Marvelously Improbable Machines
81
Mathematics as an Empirical Phenomenon Subject to Modeling
171
Does 2 + 3 5? In Defense of a Near Absurdity
186
Gregorys Sixth Operation
195
What Math Can Teach Us about Finding Order in our Chaotic Lives
208
Five Recommendations
214
The Fields Medal Should Return to Its Roots
224
The Erdős Paradox
232
Contributors
241

The OnLine Encyclopedia of Integer Sequences
90
Mathematics for Big Data
120
The Unsolvable Problem
132
The Mechanization of Mathematics
150
Notable Writings
251
Acknowledgments
269
Credits
271
Droits d'auteur

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À propos de l'auteur (2019)

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

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