The Music Of The Primes Why An Unsolved Problem In Mathematics Matters Text Only PDF Download
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Author | : Marcus du Sautoy |
Publisher | : Harper Collins |
Total Pages | : 350 |
Release | : 2004-04-27 |
Genre | : Mathematics |
ISBN | : 0060935588 |
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Examines German mathematician Bernhard Riemann's hypothesis on imaginary numbers, sine waves, and prime numbers and attempts to unravel the mystery surrounding it.
Author | : Marcus Du Sautoy |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : Mathematicians |
ISBN | : |
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Recounts the history of prime numbers (numbers divisible only by one and themselves) which has implications beyond pure mathematics. Euclid, Ramanujan, Odlyzko, and the formation of RSA encryption are discussed, as well as the state of contemporary research on the topic.
Author | : John Derbyshire |
Publisher | : Joseph Henry Press |
Total Pages | : 446 |
Release | : 2003-04-15 |
Genre | : Science |
ISBN | : 0309141257 |
Download Prime Obsession Book in PDF, ePub and Kindle
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.
Author | : Barry Mazur |
Publisher | : Cambridge University Press |
Total Pages | : 155 |
Release | : 2016-04-11 |
Genre | : Mathematics |
ISBN | : 1107101921 |
Download Prime Numbers and the Riemann Hypothesis Book in PDF, ePub and Kindle
This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.
Author | : David Wells |
Publisher | : Turner Publishing Company |
Total Pages | : 260 |
Release | : 2011-01-13 |
Genre | : Mathematics |
ISBN | : 1118045718 |
Download Prime Numbers Book in PDF, ePub and Kindle
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
Author | : Marcus du Sautoy |
Publisher | : Harper Perennial |
Total Pages | : 0 |
Release | : 2012-08-14 |
Genre | : Mathematics |
ISBN | : 9780062064011 |
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In 1859, German mathematician Bernhard Riemann presented a paper to the Berlin Academy that would forever change mathematics. The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved—one that baffles mathematicians to this day. Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.
Author | : Dan Rockmore |
Publisher | : Vintage |
Total Pages | : 306 |
Release | : 2006-05-09 |
Genre | : Mathematics |
ISBN | : 0375727728 |
Download Stalking the Riemann Hypothesis Book in PDF, ePub and Kindle
For 150 years the Riemann hypothesis has been the holy grail of mathematics. Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics.
Author | : Apostolos Doxiadis |
Publisher | : Faber & Faber |
Total Pages | : 148 |
Release | : 2012-11-15 |
Genre | : Fiction |
ISBN | : 057129569X |
Download Uncle Petros and Goldbach's Conjecture Book in PDF, ePub and Kindle
Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.
Author | : Ian Stewart |
Publisher | : Profile Books |
Total Pages | : 340 |
Release | : 2013-03-07 |
Genre | : Mathematics |
ISBN | : 1847653510 |
Download The Great Mathematical Problems Book in PDF, ePub and Kindle
There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincar Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.
Author | : Steven E. Landsburg |
Publisher | : Simon and Schuster |
Total Pages | : 285 |
Release | : 2010-09-02 |
Genre | : Business & Economics |
ISBN | : 1847399290 |
Download The Big Questions Book in PDF, ePub and Kindle
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.