Primality Testing For Beginners
DOWNLOAD
Download Primality Testing For Beginners PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Primality Testing For Beginners book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Primality Testing For Beginners
DOWNLOAD
Author : Lasse Rempe-Gillen
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-12-11
Primality Testing For Beginners written by Lasse Rempe-Gillen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.
How can you tell whether a number is prime? What if the number has hundreds or thousands of digits? This question may seem abstract or irrelevant, but in fact, primality tests are performed every time we make a secure online transaction. In 2002, Agrawal, Kayal, and Saxena answered a long-standing open question in this context by presenting a deterministic test (the AKS algorithm) with polynomial running time that checks whether a number is prime or not. What is more, their methods are essentially elementary, providing us with a unique opportunity to give a complete explanation of a current mathematical breakthrough to a wide audience. Rempe-Gillen and Waldecker introduce the aspects of number theory, algorithm theory, and cryptography that are relevant for the AKS algorithm and explain in detail why and how this test works. This book is specifically designed to make the reader familiar with the background that is necessary to appreciate the AKS algorithm and begins at a level that is suitable for secondary school students, teachers, and interested amateurs. Throughout the book, the reader becomes involved in the topic by means of numerous exercises.
Primality Testing In Polynomial Time
DOWNLOAD
Author : Martin Dietzfelbinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-29
Primality Testing In Polynomial Time written by Martin Dietzfelbinger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-29 with Mathematics categories.
A self-contained treatment of theoretically and practically important efficient algorithms for the primality problem. The text covers the randomized algorithms by Solovay-Strassen and Miller-Rabin from the late 1970s as well as the recent deterministic algorithm of Agrawal, Kayal and Saxena. The volume is written for students of computer science, in particular those with a special interest in cryptology, and students of mathematics, and it may be used as a supplement for courses or for self-study.
Primality Testing And Integer Factorization In Public Key Cryptography
DOWNLOAD
Author : Song Y. Yan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Primality Testing And Integer Factorization In Public Key Cryptography written by Song Y. Yan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Computers categories.
Primality Testing and Integer Factorization in Public-Key Cryptography introduces various algorithms for primality testing and integer factorization, with their applications in public-key cryptography and information security. More specifically, this book explores basic concepts and results in number theory in Chapter 1. Chapter 2 discusses various algorithms for primality testing and prime number generation, with an emphasis on the Miller-Rabin probabilistic test, the Goldwasser-Kilian and Atkin-Morain elliptic curve tests, and the Agrawal-Kayal-Saxena deterministic test for primality. Chapter 3 introduces various algorithms, particularly the Elliptic Curve Method (ECM), the Quadratic Sieve (QS) and the Number Field Sieve (NFS) for integer factorization. This chapter also discusses some other computational problems that are related to factoring, such as the square root problem, the discrete logarithm problem and the quadratic residuosity problem.
Primality Testing In Polynomial Time From Randomized Algorithms To Primes Is In P
DOWNLOAD
Author : M. Dietzfelbinger
language : en
Publisher:
Release Date : 2004
Primality Testing In Polynomial Time From Randomized Algorithms To Primes Is In P written by M. Dietzfelbinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This book is devoted to algorithms for the venerable primality problem: Given a natural number n, decide whether it is prime or composite. The problem is basic in number theory, efficient algorithms that solve it, i.e., algorithms that run in a number of computational steps which is polynomial in the number of digits needed to write n, are important for theoretical computer science and for applications in algorithmics and cryptology. This book gives a self-contained account of theoretically and practically important efficient algorithms for the primality problem, covering the randomized algorithms by Solovay-Strassen and Miller-Rabin from the late 1970s as well as the recent deterministic algorithm of Agrawal, Kayal, and Saxena. The textbook is written for students of computer science, in particular for those with a special interest in cryptology, and students of mathematics, and it may be used as a supplement for courses or for self-study.
1992 Census Of Wholesale Trade
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1994
1992 Census Of Wholesale Trade written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Electronic government information categories.
Primality Testing And Abelian Varieties Over Finite Fields
DOWNLOAD
Author : Leonard M. Adleman
language : en
Publisher: Springer
Release Date : 2006-11-15
Primality Testing And Abelian Varieties Over Finite Fields written by Leonard M. Adleman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
From Gauss to G|del, mathematicians have sought an efficient algorithm to distinguish prime numbers from composite numbers. This book presents a random polynomial time algorithm for the problem. The methods used are from arithmetic algebraic geometry, algebraic number theory and analyticnumber theory. In particular, the theory of two dimensional Abelian varieties over finite fields is developed. The book will be of interest to both researchers and graduate students in number theory and theoretical computer science.
Primality Testing And Abelian Varieties Over Finite Fields
DOWNLOAD
Author : Leonard M. Adleman
language : en
Publisher:
Release Date : 2014-01-15
Primality Testing And Abelian Varieties Over Finite Fields written by Leonard M. Adleman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Factorization And Primality Testing
DOWNLOAD
Author : David M. Bressoud
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Factorization And Primality Testing written by David M. Bressoud and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
"About binomial theorems I'm teeming with a lot of news, With many cheerful facts about the square on the hypotenuse. " - William S. Gilbert (The Pirates of Penzance, Act I) The question of divisibility is arguably the oldest problem in mathematics. Ancient peoples observed the cycles of nature: the day, the lunar month, and the year, and assumed that each divided evenly into the next. Civilizations as separate as the Egyptians of ten thousand years ago and the Central American Mayans adopted a month of thirty days and a year of twelve months. Even when the inaccuracy of a 360-day year became apparent, they preferred to retain it and add five intercalary days. The number 360 retains its psychological appeal today because it is divisible by many small integers. The technical term for such a number reflects this appeal. It is called a "smooth" number. At the other extreme are those integers with no smaller divisors other than 1, integers which might be called the indivisibles. The mystic qualities of numbers such as 7 and 13 derive in no small part from the fact that they are indivisibles. The ancient Greeks realized that every integer could be written uniquely as a product of indivisibles larger than 1, what we appropriately call prime numbers. To know the decomposition of an integer into a product of primes is to have a complete description of all of its divisors.
Primality Testing In Polynomial Time
DOWNLOAD
Author : Martin Dietzfelbinger
language : en
Publisher: Springer
Release Date : 2004-08-17
Primality Testing In Polynomial Time written by Martin Dietzfelbinger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-17 with Mathematics categories.
A self-contained treatment of theoretically and practically important efficient algorithms for the primality problem. The text covers the randomized algorithms by Solovay-Strassen and Miller-Rabin from the late 1970s as well as the recent deterministic algorithm of Agrawal, Kayal and Saxena. The volume is written for students of computer science, in particular those with a special interest in cryptology, and students of mathematics, and it may be used as a supplement for courses or for self-study.
Fst Tcs 2002 Foundations Of Software Technology And Theoretical Computer Science
DOWNLOAD
Author : Manindra Agrawal
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-11-29
Fst Tcs 2002 Foundations Of Software Technology And Theoretical Computer Science written by Manindra Agrawal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-29 with Computers categories.
This book constitutes the refereed proceedings of the 22nd Conference on Foundations of Software Technology and Theoretical Computer Science, FST TCS 2002, held in Kanpur, India in December 2002. The 26 revised full papers presented together with 5 invited contributions were carefully reviewed and selected from 108 submissions. A broad variety of topics from the theory of computing are addressed, from algorithmics and discrete mathematics as well as from logics and programming theory.