The Music Of The Primes

Author : Marcus du Sautoy
Publisher : HarperCollins UK
ISBN 13 : 0007375875
Total Pages : 371 pages
Book Rating : 4.75/5 ( download)

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Download or read book The Music of the Primes: Why an unsolved problem in mathematics matters (Text Only) written by Marcus du Sautoy and published by HarperCollins UK. This book was released on 2012-05-31 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: (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.

Author : Chris McGoff
Publisher : John Wiley & Sons
ISBN 13 : 1118173279
Total Pages : 276 pages
Book Rating : 4.75/5 ( download)

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Download or read book The Primes written by Chris McGoff and published by John Wiley & Sons. This book was released on 2012-04-03 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!

Author : Barry Mazur
Publisher : Cambridge University Press
ISBN 13 : 1107101921
Total Pages : 155 pages
Book Rating : 4.20/5 ( download)

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Download or read book Prime Numbers and the Riemann Hypothesis written by Barry Mazur and published by Cambridge University Press. This book was released on 2016-04-11 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.

Author : David Wells
Publisher : Turner Publishing Company
ISBN 13 : 1118045718
Total Pages : 260 pages
Book Rating : 4.18/5 ( download)

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Download or read book Prime Numbers written by David Wells and published by Turner Publishing Company. This book was released on 2011-01-13 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Steven E. Landsburg
Publisher : Simon and Schuster
ISBN 13 : 1847399290
Total Pages : 285 pages
Book Rating : 4.98/5 ( download)

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Download or read book The Big Questions written by Steven E. Landsburg and published by Simon and Schuster. This book was released on 2010-09-02 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Dan Rockmore
Publisher : Vintage
ISBN 13 : 0375727728
Total Pages : 306 pages
Book Rating : 4.26/5 ( download)

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Download or read book Stalking the Riemann Hypothesis written by Dan Rockmore and published by Vintage. This book was released on 2006-05-09 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jeffrey Stopple
Publisher : Cambridge University Press
ISBN 13 : 9780521012539
Total Pages : 404 pages
Book Rating : 4.38/5 ( download)

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Download or read book A Primer of Analytic Number Theory written by Jeffrey Stopple and published by Cambridge University Press. This book was released on 2003-06-23 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.

Author : John Derbyshire
Publisher : Joseph Henry Press
ISBN 13 : 0309141257
Total Pages : 446 pages
Book Rating : 4.53/5 ( download)

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Download or read book Prime Obsession written by John Derbyshire and published by Joseph Henry Press. This book was released on 2003-04-15 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Albert Edward Ingham
Publisher : Cambridge University Press
ISBN 13 : 9780521397896
Total Pages : 140 pages
Book Rating : 4.98/5 ( download)

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Download or read book The Distribution of Prime Numbers written by Albert Edward Ingham and published by Cambridge University Press. This book was released on 1990-09-28 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.

Author : David A. Cox
Publisher : John Wiley & Sons
ISBN 13 : 1118031008
Total Pages : 372 pages
Book Rating : 4.01/5 ( download)

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Download or read book Primes of the Form x2 + ny2 written by David A. Cox and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern number theory began with the work of Euler and Gauss to understand and extend the many unsolved questions left behind by Fermat. In the course of their investigations, they uncovered new phenomena in need of explanation, which over time led to the discovery of field theory and its intimate connection with complex multiplication. While most texts concentrate on only the elementary or advanced aspects of this story, Primes of the Form x2 + ny2 begins with Fermat and explains how his work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. Further, the book shows how the results of Euler and Gauss can be fully understood only in the context of class field theory. Finally, in order to bring class field theory down to earth, the book explores some of the magnificent formulas of complex multiplication. The central theme of the book is the story of which primes p can be expressed in the form x2 + ny2. An incomplete answer is given using quadratic forms. A better though abstract answer comes from class field theory, and finally, a concrete answer is provided by complex multiplication. Along the way, the reader is introduced to some wonderful number theory. Numerous exercises and examples are included. The book is written to be enjoyed by readers with modest mathematical backgrounds. Chapter 1 uses basic number theory and abstract algebra, while chapters 2 and 3 require Galois theory and complex analysis, respectively.