1# Library to Find Best eBook for Read
Author : 曹瀚洋
Release : 2018
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis On Primality Tests for Mersenne and Fermat Numbers by : 曹瀚洋
Download or read book On Primality Tests for Mersenne and Fermat Numbers written by 曹瀚洋. This book was released on 2018. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elena Deza
Release : 2021-08-06
Genre : Mathematics
Kind : eBook
Book Rating : 331/5 ( reviews)
Book Synopsis Mersenne Numbers And Fermat Numbers by : Elena Deza
Download or read book Mersenne Numbers And Fermat Numbers written by Elena Deza. This book was released on 2021-08-06. 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.
Author : Michal Krizek
Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 505/5 ( reviews)
Book Synopsis 17 Lectures on Fermat Numbers by : Michal Krizek
Download or read book 17 Lectures on Fermat Numbers written by Michal Krizek. This book was released on 2013-03-14. 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.
Author : Paulo Ribenboim
Release : 2006-06-01
Genre : Mathematics
Kind : eBook
Book Rating : 203/5 ( reviews)
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. This book was released on 2006-06-01. 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)
Author : Oleg Nikolaevich Vasilenko
Release : 2007
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 900/5 ( reviews)
Book Synopsis Number-Theoretic Algorithms in Cryptography by : Oleg Nikolaevich Vasilenko
Download or read book Number-Theoretic Algorithms in Cryptography written by Oleg Nikolaevich Vasilenko. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic number theory is a rapidly developing branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. Among the algorithms used in cryptography, the following are especially important: algorithms for primality testing; factorization algorithms for integers and for polynomials in one variable; applications of the theory of elliptic curves; algorithms for computation of discrete logarithms; algorithms for solving linear equations over finite fields; and, algorithms for performing arithmetic operations on large integers. The book describes the current state of these and some other algorithms. It also contains extensive bibliography. For this English translation, additional references were prepared and commented on by the author.
