The Prime Numbers And Their Distribution
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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 Mathematics 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 : Albert Edward Ingham
language : en
Publisher: Cambridge University Press
Release Date : 1990-09-28
The Distribution Of Prime Numbers written by Albert Edward Ingham 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 1990-09-28 with Mathematics categories.
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.
Numbers And Their Properties
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-09
Numbers And Their Properties written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-09 with Mathematics categories.
Numbers are everywhere around us. We use them to count, to measure, and to solve problems. But what exactly are numbers, and where do they come from? This book is an introduction to number theory, the study of the properties of positive integers. It is a fascinating and challenging field of mathematics with a rich history. Number theory has applications in many other fields, including computer science, physics, finance, and art. In this book, we will explore the world of numbers, from the basics of number systems and operations to more advanced concepts such as modular arithmetic, prime numbers, and Diophantine equations. We will learn about the different types of numbers, how they are used in mathematics, and how they can be applied to solve real-world problems. We will also meet some of the greatest minds in history who have studied numbers, from Pythagoras and Euclid to Fermat and Euler. We will learn about their discoveries and their contributions to the field of number theory. Whether you are a student, a teacher, or simply someone who is curious about numbers, this book is for you. Open your mind to the world of numbers and let the journey begin! **Key Features:** * Comprehensive coverage of the basics of number theory * Clear and concise explanations of complex concepts * Engaging and thought-provoking examples * Historical context and biographical sketches of famous mathematicians * Applications of number theory in other fields * Exercises and problems to test your understanding If you like this book, write a review!
The Theory Of Prime Number Classification
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Author : Zwide Mbulawa
language : en
Publisher: Xlibris Corporation
Release Date : 2010-11-30
The Theory Of Prime Number Classification written by Zwide Mbulawa and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-30 with Mathematics categories.
The Theory of Prime Number Classification This is an expository work of mathematical research into the prime numbers based on pattern methodology and classification techniques. As a comprehensive research into the classification systems for prime numbers, it address the following: „X Why prime numbers are regular yet random. „X What are the building blocks of prime numbers „X What is the framework for prime number generation This is done by developing the following classification systems: „X The Prime Root Classification. All prime numbers are constituted by roots, which are defined as the building blocks of the prime number. „X The Positional Classification. A two dimensional prime number space is defined that allows certain types of distribution analysis of primes to be made, deriving count functions and establishing the mean property of primes „X The Delta Classification of Primes. This classification creates prime families in terms of gaps. Prime gaps are found to have positive, negative and a steady gap acceleration. „X The Gap Theory Classification. All prime gaps and prime number behavior are based on Gap 2, Gap 4 and Gap 6. This then develops a classification system. Using the above classification systems, and defining a special function, a theory of prime number generation is then suggested, where this leads to the development of an algebraic sieve for finding prime numbers. The algebraic sieve contains all the relevant information about prime numbers, including how gaps widen, and prime number patterns. Consequently, it is then used to address the problem of finding a proof for the twin prime conjecture. As an expository work, the book also shares personal experiences and thoughts with regard to the research, and the development of expository mathematics. A program for prime number classification is available at www.zwideprimes.com
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 Numbers
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Author : Edgar Dehn
language : en
Publisher:
Release Date : 1952
Prime Numbers written by Edgar Dehn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Numbers, Prime categories.
Gaither S Dictionary Of Scientific Quotations
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Author : Carl C. Gaither
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-08
Gaither S Dictionary Of Scientific Quotations written by Carl C. Gaither 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 2008-01-08 with Science categories.
Scientists and other keen observers of the natural world sometimes make or write a statement pertaining to scientific activity that is destined to live on beyond the brief period of time for which it was intended. This book serves as a collection of these statements from great philosophers and thought–influencers of science, past and present. It allows the reader quickly to find relevant quotations or citations. Organized thematically and indexed alphabetically by author, this work makes readily available an unprecedented collection of approximately 18,000 quotations related to a broad range of scientific topics.
Number Theory
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Author : Prof. Jyothi M. J.
language : en
Publisher: RK Publication
Release Date : 2024-09-13
Number Theory written by Prof. Jyothi M. J. and has been published by RK Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-13 with Mathematics categories.
Number Theory is a comprehensive exploration of the foundational concepts, theorems, and applications in number theory. Prime numbers, congruences, and Diophantine equations, offering both classical insights and modern perspectives. It caters to a broad audience, from students to advanced mathematicians, with a focus on problem-solving, proofs, and historical context. Rich with examples, exercises, and applications, Number Theory illuminates the subject's intrinsic beauty and its significance in fields like cryptography, computer science, and mathematical research.
An Introduction To Probabilistic Number Theory
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Author : Emmanuel Kowalski
language : en
Publisher: Cambridge University Press
Release Date : 2021-05-06
An Introduction To Probabilistic Number Theory written by Emmanuel Kowalski 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 2021-05-06 with Mathematics categories.
This introductory textbook for graduate students presents modern developments in probabilistic number theory, many for the first time.
Prime Numbers And Computer Methods For Factorization
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Author : H. Riesel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Prime Numbers And Computer Methods For Factorization written by H. Riesel 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 2013-03-14 with Mathematics categories.
In this book the author treats four fundamental and apparently simple problems. They are: the number of primes below a given limit, the ap proximate number of primes, the recognition of prime numbers and the factorization of large numbers. A chapter on the details of the distribution of the primes is included as well as a short description of a recent applica tion of prime numbers, the so-called RSA public-key cryptosystem. The author is also giving explicit algorithms and computer programs. Whilst not claiming completeness, the author has tried to give all important results known, including the latest discoveries. The use of computers has in this area promoted a development which has enormously enlarged the wealth of results known and that has made many older works and tables obsolete. As is often the case in number theory, the problems posed are easy to understand but the solutions are theoretically advanced. Since this text is aimed at the mathematically inclined layman, as well as at the more advanced student, not all of the proofs of the results given in this book are shown. Bibliographical references in these cases serve those readers who wish to probe deeper. References to recent original works are also given for those who wish to pursue some topic further. Since number theory is seldom taught in basic mathematics courses, the author has appended six sections containing all the algebra and number theory required for the main body of the book.