The Little Book of Bigger Primes

The Little Book of Bigger Primes PDF Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 0387201696
Category : Mathematics
Languages : en
Pages : 356

Book Description
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

Secret History

Secret History PDF Author: Craig Bauer
Publisher: CRC Press
ISBN: 1351668498
Category : Computers
Languages : en
Pages : 640

Book Description
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

The Book of Numbers

The Book of Numbers PDF Author: John H. Conway
Publisher: Springer Science & Business Media
ISBN: 1461240727
Category : Mathematics
Languages : en
Pages : 313

Book Description
"...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST "...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS "...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH "This popularization of number theory looks like another classic." -LIBRARY JOURNAL

My Numbers, My Friends

My Numbers, My Friends PDF Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 0387227547
Category : Mathematics
Languages : en
Pages : 376

Book Description
This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem.

Unsolved Problems in Number Theory

Unsolved Problems in Number Theory PDF Author: Richard Guy
Publisher: Springer Science & Business Media
ISBN: 0387266771
Category : Mathematics
Languages : en
Pages : 438

Book Description
Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane’s Online Encyclopedia of Integer Sequences, at the end of several of the sections.

Elementary Number Theory in Nine Chapters

Elementary Number Theory in Nine Chapters PDF Author: James J. Tattersall
Publisher: Cambridge University Press
ISBN: 9780521585316
Category : Mathematics
Languages : en
Pages : 407

Book Description
This book serves as a one-semester introductory course in number theory. Throughout the book, Tattersall adopts a historical perspective and gives emphasis to some of the subject's applied aspects, highlighting the field of cryptography. 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 has been included. The reader should 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.

The Experimenter's A-Z of Mathematics

The Experimenter's A-Z of Mathematics PDF Author: Steve Humble
Publisher: Routledge
ISBN: 1134139462
Category : Education
Languages : en
Pages : 160

Book Description
Mathematics at all levels is about the joy in the discovery; it's about finding things out. This fascinating book is a guide to that discovery process, presenting ideas for practical classroom-based experiments and extension activities. Each experiment is based on the work of a key mathematician who has shaped the way that the subject looks today, and there are historical notes to help teachers bring this work to life. The book includes instructions on how to recreate the experiments using practical mathematics, computer programs and graphical calculators; ideas for follow-up work; background information for teachers on the mathematics involved; and links to the new secondary numeracy strategy framework. Accompanying the book is a CD-ROM with downloadable computer programs that can be used and reworked as part of the experimental process. With a wide range of topics covered, and plenty of scope for interesting follow-up activities, the book will be a valuable tool for mathematics teachers looking to extend the curriculum.

EBOOK: Elementary Number Theory

EBOOK: Elementary Number Theory PDF Author: David Burton
Publisher: McGraw Hill
ISBN: 0077145089
Category : Mathematics
Languages : en
Pages :

Book Description
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.

Topics in the Theory of Numbers

Topics in the Theory of Numbers PDF Author: Janos Suranyi
Publisher: Springer Science & Business Media
ISBN: 9780387953205
Category : Mathematics
Languages : en
Pages : 287

Book Description
Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. In this book, the authors have gathered together a collection of problems from various topics in number theory that they find beautiful, intriguing, and from a certain point of view instructive.