The New Book Of Prime Number Records

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The New Book of Prime Number Records

Paulo Ribenboim
The New Book of Prime Number Records Book PDF

Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
Page : 558 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461207597

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The New Book of Prime Number Records by Paulo Ribenboim Pdf

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 Book of Prime Number Records

Paulo Ribenboim
The Book of Prime Number Records Book PDF

Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468499384

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The Book of Prime Number Records by Paulo Ribenboim Pdf

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 Book of Prime Number Records

Paulo Ribenboim
The Book of Prime Number Records Book PDF

Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
Page : 496 pages
File Size : 52,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468405071

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The Book of Prime Number Records by Paulo Ribenboim Pdf

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.

The Little Book of Bigger Primes

Paulo Ribenboim
The Little Book of Bigger Primes Book PDF

Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 49,6 Mb
Release : 2006-06-01
Category : Mathematics
ISBN : 9780387218205

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The Little Book of Bigger Primes by Paulo Ribenboim Pdf

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)

Secret History

Craig Bauer
Secret History Book PDF

Author : Craig Bauer
Publisher : CRC Press
Page : 775 pages
File Size : 45,7 Mb
Release : 2021-04-20
Category : Computers
ISBN : 9781351668491

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Secret History by Craig Bauer Pdf

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

Prime Numbers

David Wells
Prime Numbers Book PDF

Author : David Wells
Publisher : Turner Publishing Company
Page : 260 pages
File Size : 40,9 Mb
Release : 2011-01-13
Category : Mathematics
ISBN : 9781118045718

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Prime Numbers by David Wells Pdf

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

Richard Crandall,Carl B. Pomerance
Prime Numbers Book PDF

Author : Richard Crandall,Carl B. Pomerance
Publisher : Springer Science & Business Media
Page : 597 pages
File Size : 54,6 Mb
Release : 2006-04-07
Category : Mathematics
ISBN : 9780387289793

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Prime Numbers by Richard Crandall,Carl B. Pomerance Pdf

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

Elementary Number Theory in Nine Chapters

James J. Tattersall
Elementary Number Theory in Nine Chapters Book PDF

Author : James J. Tattersall
Publisher : Cambridge University Press
Page : 420 pages
File Size : 52,7 Mb
Release : 1999-10-14
Category : Mathematics
ISBN : 0521585317

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Elementary Number Theory in Nine Chapters by James J. Tattersall Pdf

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

Michal Krizek,Florian Luca,Lawrence Somer
17 Lectures on Fermat Numbers Book PDF

Author : Michal Krizek,Florian Luca,Lawrence Somer
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 43,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9780387218502

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17 Lectures on Fermat Numbers by Michal Krizek,Florian Luca,Lawrence Somer Pdf

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

Eric W. Weisstein
CRC Concise Encyclopedia of Mathematics Book PDF

Author : Eric W. Weisstein
Publisher : CRC Press
Page : 3253 pages
File Size : 53,8 Mb
Release : 2002-12-12
Category : Mathematics
ISBN : 9781420035223

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CRC Concise Encyclopedia of Mathematics by Eric W. Weisstein Pdf

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

EBOOK: Elementary Number Theory

David Burton
EBOOK Elementary Number Theory Book PDF

Author : David Burton
Publisher : McGraw Hill
Page : 453 pages
File Size : 51,5 Mb
Release : 2010-06-16
Category : Mathematics
ISBN : 9780077145088

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EBOOK: Elementary Number Theory by David Burton Pdf

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.

Mathematical Mysteries

Calvin C. Clawson
Mathematical Mysteries Book PDF

Author : Calvin C. Clawson
Publisher : Springer
Page : 322 pages
File Size : 55,8 Mb
Release : 2013-11-09
Category : Mathematics
ISBN : 9781489960801

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Mathematical Mysteries by Calvin C. Clawson Pdf

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.

The Little Book of Bigger Primes

Paulo Ribenboim
The Little Book of Bigger Primes Book PDF

Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 55,7 Mb
Release : 2004-01-08
Category : Mathematics
ISBN : 9780387201696

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The Little Book of Bigger Primes by Paulo Ribenboim Pdf

The immensely popular Guinness Book of World Records lacked a chapter on prime numbers. The also popular Book of Prime Number Records, however, fills this need. This abridged version, written by the same author, is devoted to presenting records concerning prime numbers, but it also explores the interface between computations and the theory of prime numbers. The book contains an up-to-date historical presentation of the main problems pertaining to prime numbers, as well as many fascinating topics, including primality testing. It is written in a light and humours language without secrets and is thoroughly accessible to everyone. TOC:* Preface * Guiding the Reader * Index of Notations * Introduction * How Many Prime Numbers Are There? * How to Recognize Whether a Natural Number is a Prime * Are There Functions Defining Prime Numbers? * How Are the Prime Numbers Distributed? * Which Special Kinds of Primes Have Been Considered? * Heuristic and Probabilistic Results about Prime Numbers * Conclusion * Bibliography * Primes up to 10,000 * Index of Tables * Index of Records * Index of Names * Gallimawfries * Subject Index

From Great Discoveries in Number Theory to Applications

Michal Křížek,Lawrence Somer,Alena Šolcová
From Great Discoveries in Number Theory to Applications Book PDF

Author : Michal Křížek,Lawrence Somer,Alena Šolcová
Publisher : Springer Nature
Page : 342 pages
File Size : 55,6 Mb
Release : 2021-09-21
Category : Mathematics
ISBN : 9783030838997

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From Great Discoveries in Number Theory to Applications by Michal Křížek,Lawrence Somer,Alena Šolcová Pdf

This book provides an overview of many interesting properties of natural numbers, demonstrating their applications in areas such as cryptography, geometry, astronomy, mechanics, computer science, and recreational mathematics. In particular, it presents the main ideas of error-detecting and error-correcting codes, digital signatures, hashing functions, generators of pseudorandom numbers, and the RSA method based on large prime numbers. A diverse array of topics is covered, from the properties and applications of prime numbers, some surprising connections between number theory and graph theory, pseudoprimes, Fibonacci and Lucas numbers, and the construction of Magic and Latin squares, to the mathematics behind Prague’s astronomical clock. Introducing a general mathematical audience to some of the basic ideas and algebraic methods connected with various types of natural numbers, the book will provide invaluable reading for amateurs and professionals alike.

The Development of Prime Number Theory

Wladyslaw Narkiewicz
The Development of Prime Number Theory Book PDF

Author : Wladyslaw Narkiewicz
Publisher : Springer Science & Business Media
Page : 457 pages
File Size : 46,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662131572

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The Development of Prime Number Theory by Wladyslaw Narkiewicz Pdf

1. People were already interested in prime numbers in ancient times, and the first result concerning the distribution of primes appears in Euclid's Elemen ta, where we find a proof of their infinitude, now regarded as canonical. One feels that Euclid's argument has its place in The Book, often quoted by the late Paul ErdOs, where the ultimate forms of mathematical arguments are preserved. Proofs of most other results on prime number distribution seem to be still far away from their optimal form and the aim of this book is to present the development of methods with which such problems were attacked in the course of time. This is not a historical book since we refrain from giving biographical details of the people who have played a role in this development and we do not discuss the questions concerning why each particular person became in terested in primes, because, usually, exact answers to them are impossible to obtain. Our idea is to present the development of the theory of the distribu tion of prime numbers in the period starting in antiquity and concluding at the end of the first decade of the 20th century. We shall also present some later developments, mostly in short comments, although the reader will find certain exceptions to that rule. The period of the last 80 years was full of new ideas (we mention only the applications of trigonometrical sums or the advent of various sieve methods) and certainly demands a separate book.