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Prime Numbers

2011-01-13 Mathematics
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Release : 2011-01-13
Genre : Mathematics
Kind : eBook
Book Rating : 718/5 ( reviews)

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Book Synopsis Prime Numbers by : David Wells

Download or read book Prime Numbers written by David Wells. This book was released on 2011-01-13. 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

The Distribution of Prime Numbers

2019-12-06 Education
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Release : 2019-12-06
Genre : Education
Kind : eBook
Book Rating : 541/5 ( reviews)

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Book Synopsis The Distribution of Prime Numbers by : Dimitris Koukoulopoulos

Download or read book The Distribution of Prime Numbers written by Dimitris Koukoulopoulos. This book was released on 2019-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Distribution of Prime Numbers

1990-09-28 Mathematics
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Release : 1990-09-28
Genre : Mathematics
Kind : eBook
Book Rating : 896/5 ( reviews)

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Book Synopsis The Distribution of Prime Numbers by : Albert Edward Ingham

Download or read book The Distribution of Prime Numbers written by Albert Edward Ingham. This book was released on 1990-09-28. 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.

The Prime Numbers and Their Distribution

2000 Mathematics
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Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : 470/5 ( reviews)

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Book Synopsis The Prime Numbers and Their Distribution by : Gerald Tenenbaum

Download or read book The Prime Numbers and Their Distribution written by Gerald Tenenbaum. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: 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 World's Smallest Prime Number

2019-05-21
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Release : 2019-05-21
Genre :
Kind : eBook
Book Rating : 043/5 ( reviews)

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Book Synopsis The World's Smallest Prime Number by : Michael Perusse

Download or read book The World's Smallest Prime Number written by Michael Perusse. This book was released on 2019-05-21. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the World's Smallest Prime Number. Nothing more, nothing less. Please do not buy it.

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