The Music Of The Primes
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The Music Of The Primes
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Author : Marcus du Sautoy
language : en
Publisher: Harper Collins
Release Date : 2004-04-27
The Music Of The Primes written by Marcus du Sautoy and has been published by Harper Collins this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-27 with Mathematics categories.
Examines German mathematician Bernhard Riemann's hypothesis on imaginary numbers, sine waves, and prime numbers and attempts to unravel the mystery surrounding it.
The Music Of The Primes Why An Unsolved Problem In Mathematics Matters Text Only
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Author : Marcus du Sautoy
language : en
Publisher: HarperCollins UK
Release Date : 2012-05-31
The Music Of The Primes Why An Unsolved Problem In Mathematics Matters Text Only written by Marcus du Sautoy and has been published by HarperCollins UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-31 with Science categories.
(This ebook contains a limited number of illustrations.) The ebook of the critically-acclaimed popular science book by a writer who is fast becoming a celebrity mathematician.
The Music Of The Primes
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Author : Marcus du Sautoy
language : en
Publisher: Harper
Release Date : 2003-04-29
The Music Of The Primes written by Marcus du Sautoy and has been published by Harper this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-29 with Mathematics categories.
Prime numbers are the atoms of arithmetic, the building blocks for all other numbers. In school, we are taught that a prime is one that cannot be divided evenly by any other number except one and itself. What we are not taught is that primes represent the most tantalizing mystery in the pursuit of human knowledge. How can one predict when the next prime number will occur? Is there a formula that could generate primes? Where is the pattern behind these elusive numbers? These questions have formed a riddle that has confounded mathematicians since the ancient Greeks. The answer would revolutionize the world of math, and much more. Nearly 150 years ago, a German mathematician named Bernard Riemann came as close as anyone has ever come to solving this problem. In 1859 he presented a paper on the subject of prime numbers to the Berlin Academy. At the heart of his presentation was an idea -- a hypothesis -- that seemed to reveal a magical harmony between primes and other numbers. It was an idea that Riemann argued was very likely to be true. But after his death, his housekeeper burned all of his personal papers, and to this day, no one knows whether he ever found the proof. By now, the Riemann Hypothesis has become the number one obsession for the world's leading mathematicians. Considered to be even more difficult and more important than Fermat's Last Theorem, Riemann's solution would serve as a periodic table in charting the entire mathematical universe. But it has implications that go far beyond math. It is of tremendous importance in business, since prime numbers are the linchpin for security in banking and e-commerce. It is also the idea that brings together vastly different areas of science, with critical ramifications for Quantum Mechanics, Chaos Theory, and the future of computing. Pioneers in each of these fields are racing to crack the code, and a prize of one million dollars has been offered to the winner. In this remarkable book, Marcus du Sautoy tells a story of eccentric and brilliant men, and of the unquenchable thirst for knowledge that has driven some to madness and others to glory. Illuminating, authoritative, and extremely engaging, The Music of the Primes provides the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.
Prime Numbers And The Riemann Hypothesis
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Author : Barry Mazur
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-11
Prime Numbers And The Riemann Hypothesis written by Barry Mazur and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-11 with Mathematics categories.
This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.
Prime Numbers
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Author : David Wells
language : en
Publisher: Turner Publishing Company
Release Date : 2011-01-13
Prime Numbers written by David Wells and has been published by Turner Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-13 with Mathematics categories.
A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? How do twin primes differ from cousin primes, and what on earth (or in the mind of a mathematician) could be sexy about prime numbers? What did Albert Wilansky find so fascinating about his brother-in-law's phone number? Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions. In Prime Numbers: The Most Mysterious Figures in Math, you'll meet the world's most gifted mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you'll discover a host of unique insights and inventive conjectures that have both enlarged our understanding and deepened the mystique of prime numbers. This comprehensive, A-to-Z guide covers everything you ever wanted to know--and much more that you never suspected--about prime numbers, including: * The unproven Riemann hypothesis and the power of the zeta function * The "Primes is in P" algorithm * The sieve of Eratosthenes of Cyrene * Fermat and Fibonacci numbers * The Great Internet Mersenne Prime Search * And much, much more
Prime Obsession
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Author : John Derbyshire
language : en
Publisher: Joseph Henry Press
Release Date : 2003-04-15
Prime Obsession written by John Derbyshire and has been published by Joseph Henry Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-15 with Science categories.
In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark â€" a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic â€" defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark â€" the Riemann Hypothesis â€" that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows â€" subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many â€" the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof â€" and those who have been consumed by it.
The Primes
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Author : Chris McGoff
language : en
Publisher: John Wiley & Sons
Release Date : 2012-04-03
The Primes written by Chris McGoff and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-03 with Business & Economics categories.
Discover fundamental principles of high-stakes change and organizational transformation The "primes" are universal and unavoidable patterns of group behavior that emerge whenever people attempt to transform systems or collaborate to solve complex problems. Every change agent has felt their effect, but few can recognize, anticipate, and manage them. Unacknowledged, the primes can put any leadership agenda at risk. Once mastered, the primes become a force that drives intended outcomes. The Primes is a field manual for anyone ready to step up to serious challenges, predict and manage inevitable problems, create a brighter future, and produce extraordinary results. An essential guide for 21st century problem solvers and change agents, The Primes unveils 46 universal secrets of how to: Tackle complex problems successfully and deliver extraordinary results on time Forge lasting consensus among competing interests and keep teams focused and productive Recognize and eliminate the most destructive forces in an organization Establish cultures of integrity The Primes gives leaders the edge they need to succeed. Once the primes are revealed, you'll see them everywhere!
The Prime Number Conspiracy
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Author : Thomas Lin
language : en
Publisher: MIT Press
Release Date : 2018-11-20
The Prime Number Conspiracy written by Thomas Lin and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-20 with Mathematics categories.
The Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James Gleick 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.” Winner of the 2022 Pulitzer Prize for Explanatory Reporting, 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 Book Of Prime Number Records
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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Book Of Prime Number Records written by Paulo Ribenboim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium series established to honour Professors A. J. Coleman and H. W. Ellis and to acknowledge their long-lasting interest in the quality of teaching undergraduate students. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book oj Records, reminded me very gently that the most "innumerate" people of the world are of a certain tribe in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes Morris, I'm from Brazil, but my book will contain numbers different from 'one.' " He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name), and consists of about 16 million digits of the number 11. "I assure you Morris, that in spite of the beauty of the apparent randomness of the decimal digits of 11, I'll be sure that my text will also include some words." Acknowledgment. The manuscript of this book was prepared on the word processor by Linda Nuttall. I wish to express my appreciation for the great care, speed, and competence of her work. Paulo Ribenboim CONTENTS Preface vii Guiding the Reader xiii Index of Notations xv Introduction Chapter 1. How Many Prime Numbers Are There? 3 I. Euclid's Proof 3 II.
The Big Questions
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Author : Steven E. Landsburg
language : en
Publisher: Simon and Schuster
Release Date : 2010-09-02
The Big Questions written by Steven E. Landsburg and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-02 with Business & Economics categories.
What's wrong with stealing? What's the best way to blood test a pot-bellied pig? Should we tolerate intolerance? In the wake of his enormously popular books, The Armchair Economistand More Sex is Safer Sex, Steven Landsburg uses concepts from maths, economics and physics to address the big questions in philosophy: Where does knowledge come from? What's the difference between right and wrong? Do our beliefs matter? Is it possible to know everything? Provocative, utterly entertaining and always surprising, The Big Questions challenges readers to re-evaluate their most fundamental beliefs and reveals the relationship between the loftiest philosophical quests and our everyday lives.