Prime Numbers And Computer Methods For Factorization

Author : Hans Riesel
Publisher : Springer Science & Business Media
ISBN 13 : 1461202515
Total Pages : 481 pages
Book Rating : 4.16/5 ( download)

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Download or read book Prime Numbers and Computer Methods for Factorization written by Hans Riesel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large numbers into their primes. Thus an ancient number-theory concept now plays a crucial role in communication among millions of people who may have little or no knowledge of even elementary mathematics. The independent structure of each chapter of the book makes it highly readable for a wide variety of mathematicians, students of applied number theory, and others interested in both study and research in number theory and cryptography.

Author : H. Riesel
Publisher :
ISBN 13 : 9781475710908
Total Pages : 484 pages
Book Rating : 4.09/5 ( download)

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Download or read book Prime Numbers and Computer Methods for Factorization written by H. Riesel and published by . This book was released on 2014-01-15 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : H. Riesel
Publisher : Springer Science & Business Media
ISBN 13 : 1475710895
Total Pages : 481 pages
Book Rating : 4.92/5 ( download)

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Download or read book Prime Numbers and Computer Methods for Factorization written by H. Riesel and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Richard Crandall
Publisher : Springer Science & Business Media
ISBN 13 : 1468493167
Total Pages : 558 pages
Book Rating : 4.60/5 ( download)

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Download or read book Prime Numbers written by Richard Crandall 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: 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

Author : P. J. Giblin
Publisher : Cambridge University Press
ISBN 13 : 9780521409889
Total Pages : 256 pages
Book Rating : 4.88/5 ( download)

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Download or read book Primes and Programming written by P. J. Giblin and published by Cambridge University Press. This book was released on 1993-09-02 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this introductory book Dr Giblin describes methods that have been developed for testing the primality of numbers, provides Pascal programs for their implementation, and gives applications to coding.

Author : Cetin K. Koc
Publisher : Springer Science & Business Media
ISBN 13 : 354041455X
Total Pages : 366 pages
Book Rating : 4.51/5 ( download)

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Download or read book Cryptographic Hardware and Embedded Systems - CHES 2000 written by Cetin K. Koc and published by Springer Science & Business Media. This book was released on 2000-12-13 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the Second International Workshop on Cryptographic Hardware and Embedded Systems, CHES 2000, held in Worcester, MA, USA in August 2000. The 25 revised full papers presented together with two invited contributions were carefully reviewed and selected from 51 submissions. The papers are organized in topical sections on implementation of elliptic curve cryptosystems, power and timing analysis attacks, hardware implementation of block ciphers, hardware architectures, power analysis attacks, arithmetic architectures, physical security and cryptanalysis, and new schemes and algorithms.

Author : Dan Rockmore
Publisher : Vintage
ISBN 13 : 0375727728
Total Pages : 306 pages
Book Rating : 4.26/5 ( download)

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Download or read book Stalking the Riemann Hypothesis written by Dan Rockmore and published by Vintage. This book was released on 2006-05-09 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: For 150 years the Riemann hypothesis has been the holy grail of mathematics. Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics.

Author :
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.49/5 ( download)

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Download or read book 1992 Census of Wholesale Trade written by and published by . This book was released on 1994 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Song Y. Yan
Publisher : John Wiley & Sons
ISBN 13 : 1118188586
Total Pages : 432 pages
Book Rating : 4.83/5 ( download)

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Download or read book Computational Number Theory and Modern Cryptography written by Song Y. Yan and published by John Wiley & Sons. This book was released on 2013-01-29 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only book to provide a unified view of the interplay between computational number theory and cryptography Computational number theory and modern cryptography are two of the most important and fundamental research fields in information security. In this book, Song Y. Yang combines knowledge of these two critical fields, providing a unified view of the relationships between computational number theory and cryptography. The author takes an innovative approach, presenting mathematical ideas first, thereupon treating cryptography as an immediate application of the mathematical concepts. The book also presents topics from number theory, which are relevant for applications in public-key cryptography, as well as modern topics, such as coding and lattice based cryptography for post-quantum cryptography. The author further covers the current research and applications for common cryptographic algorithms, describing the mathematical problems behind these applications in a manner accessible to computer scientists and engineers. Makes mathematical problems accessible to computer scientists and engineers by showing their immediate application Presents topics from number theory relevant for public-key cryptography applications Covers modern topics such as coding and lattice based cryptography for post-quantum cryptography Starts with the basics, then goes into applications and areas of active research Geared at a global audience; classroom tested in North America, Europe, and Asia Incudes exercises in every chapter Instructor resources available on the book’s Companion Website Computational Number Theory and Modern Cryptography is ideal for graduate and advanced undergraduate students in computer science, communications engineering, cryptography and mathematics. Computer scientists, practicing cryptographers, and other professionals involved in various security schemes will also find this book to be a helpful reference.

Author : Samuel S. Wagstaff (Jr.)
Publisher : American Mathematical Soc.
ISBN 13 : 1470410486
Total Pages : 311 pages
Book Rating : 4.83/5 ( download)

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Download or read book The Joy of Factoring written by Samuel S. Wagstaff (Jr.) and published by American Mathematical Soc.. This book was released on 2013-10-24 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is about the theory and practice of integer factorization presented in a historic perspective. It describes about twenty algorithms for factoring and a dozen other number theory algorithms that support the factoring algorithms. Most algorithms are described both in words and in pseudocode to satisfy both number theorists and computer scientists. Each of the ten chapters begins with a concise summary of its contents. This book is written for readers who want to learn more about the best methods of factoring integers, many reasons for factoring, and some history of this fascinating subject. It can be read by anyone who has taken a first course in number theory." -- Publisher website.