The Best Writing on Mathematics 2019

כריכה קדמית
Mircea Pitici
Princeton University Press, 5 בנוב׳ 2019 - 304 עמודים

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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תוכן

Gerrymandering
1
Can Mathematical
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
Professor Engels Marvelously Improbable Machines
81
The OnLine Encyclopedia of Integer Sequences
90
The Unsolvable Problem
132
The Mechanization of Mathematics
150
Mathematics as an Empirical Phenomenon Subject to Modeling
171
+ 3 5? In Defense of a Near Absurdity
186
What Math
208
The Fields Medal Should Return to Its Roots
224
Contributors
241
Acknowledgments
269

Mathematics for Big Data
120

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מידע על המחבר (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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