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E-raamat: Best Writing on Mathematics 2021

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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.

Arvustused

"Wonderfully varied and for all mathematical tastes."---Ioanna Georgiou,, Institute of Mathematics and Its Applications

Introduction xi
Mircea Pitici
Lockdown Mathematics: A Historical Perspective 1(8)
Viktor Blasjo
Cryptocurrencies: Protocols For Consensus 9(20)
Andrew Lewis-Pye
Logical Accidents And The Problem Of The Inside Corner 29(20)
Michael C. Duddy
Cosmatesque Design And Complex Analysis 49(7)
Steve Pomerantz
Nullstellenfont 56(8)
Ben Logsdon
Anya Michaelsen
Ralph Morrison
Hyperbolic Flowers 64(13)
Maria Trnkova
Embodied Geometry In Early Modern Theatre 77(5)
Yelda Nasifoglu
Modeling Dynamical Systems For 3D Printing 82(26)
Stephen K. Lucas
Evelyn Sander
Laura Taalman
Scientists Uncover The Universal Geometry Of Geology 108(12)
Joshua Sokol
Bouncing Balls And Quantum Computing 120(5)
Don Monroe
Landmark Computer Science Proof Cascades Through Physics And Math 125(11)
Kevin Hartnett
Dark Data 136(6)
David J. Hand
Analysis In An Imperfect World 142(13)
Michael Wallace
A Headache-Causing Problem 155(8)
J.H. Conway
M.S. Paterson
U.S.S.R. Moscow
A Zeroth Power Is Often A Logarithm Yearning To Be Free 163(5)
Sanjoy Mahajan
The Bicycle Paradox 168(6)
Stan Wagon
Tricolor Pyramids 174(9)
Jacob Siehler
Does Time Really Flow? New Clues Come From A Century-Old Approach To Math 183(10)
Natalie Wolchover
The Role Of History In The Study Of Mathematics 193(8)
Harold M. Edwards
"All Of These Political Questions": Anticommunism, Racism, And The Origin Of The Notices Of The American Mathematical Society 201(11)
Michael J. Barany
Reasoning As A Mathematical Habit Of Mind 212(13)
Mike Askew
Knowing And Teaching Elementary Mathematics-how Are We Doing? 225(7)
Roger Howe
Tips For Undergraduate Research Supervisors 232(11)
Stephan Ramon Garcia
"The Infinite Is The Chasm In Which Our Thoughts Are Lost": Reflections On Sophie Germain's Essays 243(12)
Adam Glesser
Bogdan D. Suceavx
Mihaela B. Vajiac
Who Owns The Theorem? 255(3)
Melvyn B. Nathanson
A Close Call: How A Near Failure Propelled Me To Succeed 258(5)
Terence Tao
Contributors 263(10)
Notable Writings 273(10)
Acknowledgments 283(2)
Credits 285
Mircea Pitici teaches mathematics at Syracuse University and has edited The Best Writing on Mathematics since 2010. Twitter @MPitici