The Book of Prime Number Records

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1468499386
Total Pages : 492 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis The Book of Prime Number Records by : Paulo Ribenboim

Download or read book The Book of Prime Number Records written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium series established to honour Professors A. J. Coleman and H. W. Ellis and to acknowledge their long-lasting interest in the quality of teaching undergraduate students. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book oj Records, reminded me very gently that the most "innumerate" people of the world are of a certain tribe in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes Morris, I'm from Brazil, but my book will contain numbers different from 'one.' " He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name), and consists of about 16 million digits of the number 11. "I assure you Morris, that in spite of the beauty of the apparent randomness of the decimal digits of 11, I'll be sure that my text will also include some words." Acknowledgment. The manuscript of this book was prepared on the word processor by Linda Nuttall. I wish to express my appreciation for the great care, speed, and competence of her work. Paulo Ribenboim CONTENTS Preface vii Guiding the Reader xiii Index of Notations xv Introduction Chapter 1. How Many Prime Numbers Are There? 3 I. Euclid's Proof 3 II.

The New Book of Prime Number Records

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461207592
Total Pages : 558 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The New Book of Prime Number Records by : Paulo Ribenboim

Download or read book The New Book of Prime Number Records written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium senes. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book of Records, reminded me very gently that the most "innumerate" people of the world are of a certain trible in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes, Morris, I'm from Brazil, but my book will contain numbers different from ·one.''' He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name) and consists of about 16 million decimal digits of the number Te. "I assure you, Morris, that in spite of the beauty of the appar ent randomness of the decimal digits of Te, I'll be sure that my text will include also some words." And then I proceeded putting together the magic combina tion of words and numbers, which became The Book of Prime Number Records. If you have seen it, only extreme curiosity could impel you to have this one in your hands. The New Book of Prime Number Records differs little from its predecessor in the general planning. But it contains new sections and updated records.

The Little Book of Bigger Primes

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387218203
Total Pages : 370 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Little Book of Bigger Primes by : Paulo Ribenboim

Download or read book The Little Book of Bigger Primes written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2006-06-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)

Prime Numbers

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Publisher : Springer Science & Business Media
ISBN 13 : 0387289798
Total Pages : 597 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Prime Numbers by : Richard Crandall

Download or read book Prime Numbers written by Richard Crandall and published by Springer Science & Business Media. This book was released on 2006-04-07 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field

The Book of Prime Number Records

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1468405071
Total Pages : 496 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis The Book of Prime Number Records by : Paulo Ribenboim

Download or read book The Book of Prime Number Records written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquim series established to honor Professors A. J. Coleman and H. W. Ellis and to acknow ledge their long lasting interest in the quality of teaching under graduate students. In another colloquim lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guilllless Book oj Records, remainded me very gently that the most "innumerate" people of the world are of a certain tribe in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes Morris, I'm from Brazil, but my book will contain numbers different from 'one.' " He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name), and consists of about 16 million digits of the number 11. "I assure you Morris, that in spite of the beauty of the apparent randomness of the decimal digits of 11, I'll be sure that my text will include also some words." Acknowledgment. The manuscript of this book was prepared on the word processor by Linda Nuttall. I wish to express my appreciation for the great care, speed, and competence of her work.

Secret History

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Publisher : CRC Press
ISBN 13 : 1351668498
Total Pages : 775 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Secret History by : Craig Bauer

Download or read book Secret History written by Craig Bauer and published by CRC Press. This book was released on 2021-04-20 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this award-winning book attracted a wide audience. This second edition is both a joy to read and a useful classroom tool. Unlike traditional textbooks, it requires no mathematical prerequisites and can be read around the mathematics presented. If used as a textbook, the mathematics can be prioritized, with a book both students and instructors will enjoy reading. Secret History: The Story of Cryptology, Second Edition incorporates new material concerning various eras in the long history of cryptology. Much has happened concerning the political aspects of cryptology since the first edition appeared. The still unfolding story is updated here. The first edition of this book contained chapters devoted to the cracking of German and Japanese systems during World War II. Now the other side of this cipher war is also told, that is, how the United States was able to come up with systems that were never broken. The text is in two parts. Part I presents classic cryptology from ancient times through World War II. Part II examines modern computer cryptology. With numerous real-world examples and extensive references, the author skillfully balances the history with mathematical details, providing readers with a sound foundation in this dynamic field. FEATURES Presents a chronological development of key concepts Includes the Vigenère cipher, the one-time pad, transposition ciphers, Jefferson’s wheel cipher, Playfair cipher, ADFGX, matrix encryption, Enigma, Purple, and other classic methods Looks at the work of Claude Shannon, the origin of the National Security Agency, elliptic curve cryptography, the Data Encryption Standard, the Advanced Encryption Standard, public-key cryptography, and many other topics New chapters detail SIGABA and SIGSALY, successful systems used during World War II for text and speech, respectively Includes quantum cryptography and the impact of quantum computers

Permanent Record

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Publisher : Metropolitan Books
ISBN 13 : 1250237246
Total Pages : 298 pages
Book Rating : 4.2/5 (52 download)

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Book Synopsis Permanent Record by : Edward Snowden

Download or read book Permanent Record written by Edward Snowden and published by Metropolitan Books. This book was released on 2019-09-17 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: NEW YORK TIMES BESTSELLER Edward Snowden, the man who risked everything to expose the US government’s system of mass surveillance, reveals for the first time the story of his life, including how he helped to build that system and what motivated him to try to bring it down. In 2013, twenty-nine-year-old Edward Snowden shocked the world when he broke with the American intelligence establishment and revealed that the United States government was secretly pursuing the means to collect every single phone call, text message, and email. The result would be an unprecedented system of mass surveillance with the ability to pry into the private lives of every person on earth. Six years later, Snowden reveals for the very first time how he helped to build this system and why he was moved to expose it. Spanning the bucolic Beltway suburbs of his childhood and the clandestine CIA and NSA postings of his adulthood, Permanent Record is the extraordinary account of a bright young man who grew up online—a man who became a spy, a whistleblower, and, in exile, the Internet’s conscience. Written with wit, grace, passion, and an unflinching candor, Permanent Record is a crucial memoir of our digital age and destined to be a classic.

Prime Numbers

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Publisher : Turner Publishing Company
ISBN 13 : 1118045718
Total Pages : 260 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Prime Numbers by : David Wells

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

The Distribution of Prime Numbers

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521397896
Total Pages : 140 pages
Book Rating : 4.3/5 (978 download)

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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 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.

Our Noise

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Publisher : Algonquin Books
ISBN 13 : 1565126246
Total Pages : 322 pages
Book Rating : 4.5/5 (651 download)

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Book Synopsis Our Noise by : John Cook

Download or read book Our Noise written by John Cook and published by Algonquin Books. This book was released on 2009-01-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: In celebration of the 20th anniversary of Merge Records, founders Mac and Laura offer first-person accounts--with the help of their colleagues and Merge artists--of their work, their lives, and the culture of making music. Hundreds of personal photos of the bands, along with album cover art, concert posters, and other memorabilia are included.

Elementary Number Theory in Nine Chapters

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Publisher : Cambridge University Press
ISBN 13 : 9780521585316
Total Pages : 420 pages
Book Rating : 4.5/5 (853 download)

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Book Synopsis Elementary Number Theory in Nine Chapters by : James J. Tattersall

Download or read book Elementary Number Theory in Nine Chapters written by James J. Tattersall and published by Cambridge University Press. This book was released on 1999-10-14 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.

17 Lectures on Fermat Numbers

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Publisher : Springer Science & Business Media
ISBN 13 : 0387218505
Total Pages : 280 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis 17 Lectures on Fermat Numbers by : Michal Krizek

Download or read book 17 Lectures on Fermat Numbers written by Michal Krizek and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The pioneering work of Pierre de Fermat has attracted the attention of mathematicians for over 350 years. This book provides an overview of the many properties of Fermat numbers and demonstrates their applications in areas such as number theory, probability theory, geometry, and signal processing. It is an ideal introduction to the basic mathematical ideas and algebraic methods connected with the Fermat numbers.

CRC Concise Encyclopedia of Mathematics

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Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

An Illustrated Theory of Numbers

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Publisher : American Mathematical Soc.
ISBN 13 : 1470463717
Total Pages : 341 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Illustrated Theory of Numbers by : Martin H. Weissman

Download or read book An Illustrated Theory of Numbers written by Martin H. Weissman and published by American Mathematical Soc.. This book was released on 2020-09-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.

EBOOK: Elementary Number Theory

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Author :
Publisher : McGraw Hill
ISBN 13 : 0077145089
Total Pages : 453 pages
Book Rating : 4.0/5 (771 download)

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Book Synopsis EBOOK: Elementary Number Theory by : David Burton

Download or read book EBOOK: Elementary Number Theory written by David Burton and published by McGraw Hill. This book was released on 2010-06-16 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Number Theory, Seventh Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton’s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.

Mersenne Numbers And Fermat Numbers

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Publisher : World Scientific
ISBN 13 : 9811230331
Total Pages : 327 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mersenne Numbers And Fermat Numbers by : Elena Deza

Download or read book Mersenne Numbers And Fermat Numbers written by Elena Deza and published by World Scientific. This book was released on 2021-08-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography.In Mathematics, a Mersenne number (named after Marin Mersenne, who studied them in the early 17-th century) is a number of the form Mn = 2n - 1 for positive integer n.In Mathematics, a Fermat number (named after Pierre de Fermat who first studied them) is a positive integer of the form Fn = 2k+ 1, k=2n, where n is a non-negative integer.Mersenne and Fermat numbers have many other interesting properties. Long and rich history, many arithmetic connections (with perfect numbers, with construction of regular polygons etc.), numerous modern applications, long list of open problems allow us to provide a broad perspective of the Theory of these two classes of special numbers, that can be useful and interesting for both professionals and the general audience.

Mathematical Mysteries

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Publisher : Springer
ISBN 13 : 1489960805
Total Pages : 322 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Mathematical Mysteries by : Calvin C. Clawson

Download or read book Mathematical Mysteries written by Calvin C. Clawson and published by Springer. This book was released on 2013-11-09 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: A meditation on the beauty and meaning of numbers, exploring mathematical equations, describing some of the mathematical discoveries of the past millennia, and pondering philosophical questions about the relation of numbers to the universe.