Princeton University Press
The Best Writing on Mathematics 2021
About this book
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—and you don’t need to be a mathematician to enjoy the pieces collected here. These essays—from leading names and fresh new voices—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.
Here, Viktor Blåsjö gives a brief history of “lockdown mathematics”; Yelda Nasifoglu decodes the politics of a seventeenth-century play in which the characters are geometric shapes; and Andrew Lewis-Pye explains the basic algorithmic rules and computational procedures behind cryptocurrencies. In other essays, Terence Tao candidly recalls the adventures and misadventures of growing up to become a leading mathematician; Natalie Wolchover shows how old math gives new clues about whether time really flows; and David Hand discusses the problem of “dark data”—information that is missing or ignored. And there is much, much more.
Author / Editor information
Reviews
Praise for previous editions:
“A variety of thoroughly accessible works that tie abstract math to the real world. . . . Gives readers an entertaining look at the odd, the amusing, and the utilitarian without requiring any more than a readerly curiosity.”—Publishers Weekly
“Wonderful. . . . Cannot be recommended highly enough!”—Robert Schaefer, New York Journal of Books
“A wonderful and varied bouquet of texts. . . . I highly recommend this book.”—Stephen Buckley, Irish Mathematical Society Bulletin
Topics
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Frontmatter
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Contents
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Introduction
xi -
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Lockdown Mathematics: A Historical Perspective
1 -
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Cryptocurrencies: Protocols for Consensus
9 -
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Logical Accidents and the Problem of the Inside Corner
29 -
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Cosmatesque Design and Complex Analysis
49 -
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Nullstellenfont
56 -
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Hyperbolic Flowers
64 -
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Embodied Geometry in Early Modern Theatre
77 -
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Modeling Dynamical Systems for 3D Printing
82 -
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Scientists Uncover the Universal Geometry of Geology
108 -
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Bouncing Balls and Quantum Computing
120 -
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Landmark Computer Science Proof Cascades through Physics and Math
125 -
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Dark Data
136 -
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Analysis in an Imperfect World
142 -
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A Headache-Causing Problem
155 -
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A Zeroth Power Is Often a Logarithm Yearning to Be Free
163 -
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The Bicycle Paradox
168 -
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Tricolor Pyramids
174 -
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Does Time Really Flow? New Clues Come from a Century-Old Approach to Math
183 -
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The Role of History in the Study of Mathematics
193 -
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“All of These Political Questions”: Anticommunism, Racism, and the Origin of the Notices of the American Mathematical Society
201 -
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Reasoning as a Mathematical Habit of Mind
212 -
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Knowing and Teaching Elementary Mathematics—How Are We Doing?
225 -
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Tips for Undergraduate Research Supervisors
232 -
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“The Infinite Is the Chasm in Which Our Thoughts Are Lost”: Reflections on Sophie Germain’s Essays
243 -
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Who Owns the Theorem?
255 -
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A Close Call: How a Near Failure Propelled Me to Succeed
258 -
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Contributors
263 -
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Notable Writings
273 -
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Acknowledgments
283 -
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Credits
285