The Primes
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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 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 Prime Numbers And Their Distribution
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Author : Gerald Tenenbaum
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
The Prime Numbers And Their Distribution written by Gerald Tenenbaum and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Numbers, Prime categories.
One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness. The book opens with some classic topics of number theory. It ends with a discussion of some of the outstanding conjectures in number theory. In between are an excellent chapter on the stochastic properties of primes and a walk through an elementary proof of the Prime Number Theorem. This book is suitable for anyone who has had a little number theory and some advanced calculus involving estimates. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians.
The Distribution Of Prime Numbers
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Author : Dimitris Koukoulopoulos
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-28
The Distribution Of Prime Numbers written by Dimitris Koukoulopoulos and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-28 with Education categories.
Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem. Throughout, the emphasis has been placed on explaining the main ideas rather than the most general results available. As a result, several methods are presented in terms of concrete examples that simplify technical details, and theorems are stated in a form that facilitates the understanding of their proof at the cost of sacrificing some generality. Each chapter concludes with numerous exercises of various levels of difficulty aimed to exemplify the material, as well as to expose the readers to more advanced topics and point them to further reading sources.
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
The Symphony Of Primes Distribution Of Primes And Riemann S Hypothesis
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Author : Jan Feliksiak
language : en
Publisher: Xlibris Corporation
Release Date : 2013-03-14
The Symphony Of Primes Distribution Of Primes And Riemann S Hypothesis written by Jan Feliksiak and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Education categories.
This book presents research results concerning the distribution of prime numbers. The first major result discussed is the supremum for the maximal prime gaps. By an implementation of a binomial coefficient the maximal prime gaps supremum bound is proved, simultaneously establishing the infimum for primes in the short interval. Subsequently, a novel application of the theory of the primorial function establishes the tailored logarithmic integral, which is a superior adaptation of the classical Gauss' logarithmic integral. The tailored integral due to its radically improved accuracy over the Gauss' logarithmic integral, constitutes the supremum bound of estimation of the prime counting function. It presents the possibility to estimate the prime counting function with unprecedented accuracy.
Conjectures On Primes And Fermat Pseudoprimes Many Based On Smarandache Function
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date :
Conjectures On Primes And Fermat Pseudoprimes Many Based On Smarandache Function written by Marius Coman and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
It is always difficult to talk about arithmetic, because those who do not know what is about, nor do they understand in few sentences, no matter how inspired these might be, and those who know what is about, do no need to be told what is about. Arithmetic is that branch of mathematics that you keep it in your soul and in your mind, not in your suitcase or laptop. Part One of this book of collected papers aims to show new applications of Smarandache function in the study of some well known classes of numbers, like Sophie Germain primes, Poulet numbers, Carmichael numbers ets. Beside the well-known notions of number theory, we defined in these papers the following new concepts: “Smarandache-Coman divisors of order k of a composite integer n with m prime factors”, “Smarandache-Coman congruence on primes”, “Smarandache-Germain primes”, Coman-Smarandache criterion for primality”, “Smarandache-Korselt criterion”, “Smarandache-Coman constants”. Part Two of this book brings together several papers on few well known and less known types of primes.
The Little Book Of Bigger Primes
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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-01
The Little Book Of Bigger Primes 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 2006-06-01 with Mathematics categories.
A deep understanding of prime numbers is one of the great challenges in mathematics. In this new edition, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers. Paulo Ribenboim is Professor Emeritus at Queen's University in Canada, Fellow of the Royal Society of Canada, and recipient of the George Pólya Award of the Mathematical Association of America. He is the author of 13 books and more than 150 research articles. From the reviews of the First Edition: Number Theory and mathematics as a whole will benefit from having such an accessible book exposing advanced material. There is no question that this book will succeed in exciting many new people to the beauty and fascination of prime numbers, and will probably bring more young people to research in these areas. (Andrew Granville, Zentralblatt)
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.
The Theory Of Primes
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Author : Mark Meek
language : en
Publisher: iUniverse
Release Date : 2000-12
The Theory Of Primes written by Mark Meek and has been published by iUniverse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-12 with Science categories.
The Theory of Primes is about an entirely new field, as yet undocumented. There is a simple formula, a four-part sequence that everything in existence invariably conforms to. It has always been assumed that the counting numbers are the most fundamental branch of mathematics, but down through the centuries, there was an even more primal branch, the primes, defining the limits and process sequence of reality before the numbers could quantify anything. Before the big bang happened and brought the universe into existence, the primes were there to define what could exist and could happen. We could say that the primes are the constitution of reality.