The Prime Number Conspiracy

2018-12-04
The Prime Number Conspiracy

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  • Author: Thomas Lin
  • Publisher: MIT Press
  • ISBN: 0262350556
  • Category : Mathematics
  • Languages : en
  • Pages : 336

Quanta Magazine's stories of mathematical explorations show that “inspiration strikes willy-nilly,” revealing surprising solutions and exciting discoveries. If you're a science and data nerd like me, you may be interested in "Alice and Bob Meet the Wall of Fire" and "The Prime Number Conspiracy" from Quanta Magazine and Thomas Lin. - Bill Gates These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, “inspiration strikes willy-nilly.” One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a “bathroom sink epiphany” and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on “breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge.” Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the “conspiracy” of the title); consider whether math is the universal language of nature (allowing for “a unified theory of randomness”); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question “Is mathematics good for you?” Contributors Ariel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie Wolchover Copublished with Quanta Magazine

The Prime Number Conspiracy

2018
The Prime Number Conspiracy

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  • Author: Thomas Lin
  • Publisher:
  • ISBN: 9780262039772
  • Category :
  • Languages : en
  • Pages : 331

The Great Prime Number Race

2020-08-13
The Great Prime Number Race

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  • Author: Roger Plymen
  • Publisher: American Mathematical Soc.
  • ISBN: 1470462575
  • Category : Education
  • Languages : en
  • Pages : 152

Have you ever wondered about the explicit formulas in analytic number theory? This short book provides a streamlined and rigorous approach to the explicit formulas of Riemann and von Mangoldt. The race between the prime counting function and the logarithmic integral forms a motivating thread through the narrative, which emphasizes the interplay between the oscillatory terms in the Riemann formula and the Skewes number, the least number for which the prime number theorem undercounts the number of primes. Throughout the book, there are scholarly references to the pioneering work of Euler. The book includes a proof of the prime number theorem and outlines a proof of Littlewood's oscillation theorem before finishing with the current best numerical upper bounds on the Skewes number. This book is a unique text that provides all the mathematical background for understanding the Skewes number. Many exercises are included, with hints for solutions. This book is suitable for anyone with a first course in complex analysis. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians.

An Epsilon of Room, II

2010
An Epsilon of Room, II

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  • Author: Terence Tao
  • Publisher: American Mathematical Soc.
  • ISBN: 0821852809
  • Category : Functional analysis
  • Languages : en
  • Pages : 258

A step-by-step guide to successfully transforming any organization It is well recognized that succeeding at innovation is fundamental in today's hyper-competitive global marketplace. It is the only way to outperform current and emerging competitors sustainably. But what we call "innovation" is messy and difficult and too often lacks the rigor and discipline of other management processes. "The Innovator's Field Guide: Market Tested Methods and Frameworks to Help You Meet Your Innovation Challenges" changes that. It is a practical guide that moves beyond the "why" to the "how" of making innovation happen, for leaders and practitioners inside organizations of all sizes. Written by two pioneers in the field of embedding innovation in organization, "The Innovator's Field Guide" focuses on the most pressing innovation problems and specific challenges innovation leaders will face and offers concrete solutions, tools, and methods to overcome them.Each chapter describes a specific innovation challenge and details proven ways to address that challengeIncludes practical ideas, techniques, and leading practicesDescribes common obstacles and offers practical solutions Any leader or professional who needs concrete solutions--right now--to the critical challenges of innovation will find invaluable aid in the practical, easy-to-understand, and market-tested approaches of "The Innovator's Field Guide."

50th IMO - 50 Years of International Mathematical Olympiads

2011-01-03
50th IMO - 50 Years of International Mathematical Olympiads

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  • Author: Hans-Dietrich Gronau
  • Publisher: Springer Science & Business Media
  • ISBN: 3642145655
  • Category : Mathematics
  • Languages : en
  • Pages : 297

In July 2009 Germany hosted the 50th International Mathematical Olympiad (IMO). For the very first time the number of participating countries exceeded 100, with 104 countries from all continents. Celebrating the 50th anniversary of the IMO provides an ideal opportunity to look back over the past five decades and to review its development to become a worldwide event. This book is a report about the 50th IMO as well as the IMO history. A lot of data about all the 50 IMOs are included. We list the most successful contestants, the results of the 50 Olympiads and the 112 countries that have ever taken part. It is impressive to see that many of the world’s leading research mathematicians were among the most successful IMO participants in their youth. Six of them gave presentations at a special celebration: Bollobás, Gowers, Lovász, Smirnov, Tao and Yoccoz. This book is aimed at students in the IMO age group and all those who have interest in this worldwide leading competition for highschool students.

An Invitation to Mathematics

2011-05-19
An Invitation to Mathematics

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  • Author: Dierk Schleicher
  • Publisher: Springer Science & Business Media
  • ISBN: 3642195334
  • Category : Mathematics
  • Languages : en
  • Pages : 220

This Invitation to Mathematics consists of 14 contributions, many from the world's leading mathematicians, which introduce the readers to exciting aspects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathematics as a rich and lively field of research. The contributions are written for interested students at the age of transition between high school and university who know high school mathematics and perhaps competition mathematics and who want to find out what current research mathematics is about. We hope that it will also be of interest to teachers or more advanced mathematicians who would like to learn about exciting aspects of mathematics outside of their own work or specialization. Together with a team of young ``test readers'', editors and authors have taken great care, through a substantial ``active editing'' process, to make the contributions understandable by the intended readership.

The Skeptic's Guide to Conspiracies

2009-09-18
The Skeptic's Guide to Conspiracies

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  • Author: Monte Cook
  • Publisher: Simon and Schuster
  • ISBN: 1440504423
  • Category : Reference
  • Languages : en
  • Pages : 272

Did the noble order of the Knights Templar guard a secret about Jesus’ birth? Was the moon landing faked in a Hollywood movie studio? Is the government keeping the remains of an alien spacecraft in the top-secret Area 51? Monte Cook takes a look at conspiracy theories—ranging from the historically complex to the seriously whacked out. With a disbelieving eye, he traces the history of some of the world's weirdest ideas and even includes a chart showing readers how to make up conspiracy theories for themselves. Scattered through the book are the paranoid "notes" of an anonymous reader who claims to know what's really going on. You can make up your own mind as to who's telling the truth!

The Best Writing on Mathematics 2012

2013
The Best Writing on Mathematics 2012

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  • Author: Mircea Pitici
  • Publisher: Princeton University Press
  • ISBN: 0691156557
  • Category : Mathematics
  • Languages : en
  • Pages : 321

Collects essays on mathematics, from the mathematical aspects of origami and the mathematics of dating to the frequency and distribution of prime numbers and a ball in five dimensions.

Prime Numbers: The Holy Grail Of Mathematics

2020-10-20
Prime Numbers: The Holy Grail Of Mathematics

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  • Author: Thamer Naouech
  • Publisher: Thamer Naouech
  • ISBN:
  • Category : Juvenile Nonfiction
  • Languages : en
  • Pages : 46

It is undeniable how prime numbers are one of the most beautiful and fascinating topics in mathematics. But what are prime numbers? Are they only numbers that are divisible by 1 and themselves, or do they have another interesting hidden face?Throughout history, the mystery of prime numbers has challenged the greatest minds in mathematics starting from Euclid of Alexandria to Fermat, Euler, Gauss, and Erdős,… who attempted to solve the puzzling problem of primes. The achievements they realized and the secrets they revealed can only assert how deep the concept of prime numbers is. Starting from how prime numbers exist in nature, and how they are of great use in modern cryptography on which our daily life completely depends, the author travels in the holy kingdom of primes diving into some conjectures involving those special numbers. From the Riemann Hypothesis and the well-known zeta function, he explains how a note in the margin turned to be Fermat’s Last Theorem, one of the most important problems in the history of mathematics. From Mersenne Primes, he gets to the twin primes, those shining little stars in the blue sky of primes. And from Euclid’s proof of the infinite number of primes he gets to a hidden pattern in the distribution of primes discovered by Stanisław Ulam and called the Ulam Spiral. After this little trip, you will know, dear reader, why prime numbers deserve to be called "the holy grail of mathematics".

Alice and Bob Meet the Wall of Fire

2018-11-20
Alice and Bob Meet the Wall of Fire

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  • Author: Thomas Lin
  • Publisher: MIT Press
  • ISBN: 026253634X
  • Category : Science
  • Languages : en
  • Pages : 329

Accessible, essential coverage of the latest findings in challenging, speculative, and cutting-edge science, from the Pulitzer Prize–winning leaders in scientific journalism at Quanta Magazine “If you're a science and data nerd like me, you may be interested in Alice and Bob Meet the Wall of Fire . . . from Quanta Magazine and Thomas Lin.” —Bill Gates These stories reveal the latest efforts to untangle the mysteries of the universe. Bringing together the best and most interesting science stories appearing in Quanta Magazine over the past five years, Alice and Bob Meet the Wall of Fire reports on some of the greatest scientific minds as they test the limits of human knowledge. Quanta, under editor-in-chief Thomas Lin, is the only popular publication that offers in-depth coverage of today's challenging, speculative, cutting-edge science. It communicates science by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. In the title story, Alice and Bob—beloved characters of various thought experiments in physics—grapple with gravitational forces, possible spaghettification, and a massive wall of fire as Alice jumps into a black hole. Another story considers whether the universe is impossible, in light of experimental results at the Large Hadron Collider. We learn about quantum reality and the mystery of quantum entanglement; explore the source of time's arrow; and witness a eureka moment when a quantum physicist exclaims: “Finally, we can understand why a cup of coffee equilibrates in a room.” We reflect on humans’ enormous skulls and the Brain Boom; consider the evolutionary benefits of loneliness; peel back the layers of the newest artificial-intelligence algorithms; follow the “battle for the heart and soul of physics”; and mourn the disappearance of the “diphoton bump,” revealed to be a statistical fluctuation rather than a revolutionary new particle. Winner of the 2022 Pulitzer Prize for Explanatory Reporting, Quanta once again gives us a front-row seat to scientific discovery. Contributors Philip Ball, K. C. Cole, Robbert Dijkgraaf, Dan Falk, Courtney Humphries, Ferris Jabr, Katia Moskvitch, George Musser, Michael Nielsen, Jennifer Ouellette, John Pavlus, Emily Singer, Andreas von Bubnoff, Frank Wilczek, Natalie Wolchover, Carl Zimmer