Algorithmic number theory has already proved to be a rich mine for researchers and a source of applications to computer science and cryptography. Here Vasilenko describes the current state of a variety of associated algorithms, including those for probability testing, factorization for integers and for polynomials in one variable, computation of discrete logarithms, solving linear equations over wide fields, and performing arithmetic operations on large integers. He shows how algorithmic number theory can be applied to the theory of elliptic curves, and even provides a review of number theory for those in need of a refresher. In this translation Vasilenko has provided references with commentary which are added to the already extensive bibliography. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)
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Condizione: New. Algorithmic number theory is a branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. This book describes the various algorithms used in cryptography. Series: Translations of Mathematical Monographs Reprint. Num Pages: 243 pages. BIC Classification: PBH; UYA. Category: (P) Professional & Vocational. Weight in Grams: 617. . 2006. Hardcover. . . . . Codice articolo V9780821840900
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Hardback. Condizione: New. 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; 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. Codice articolo LU-9780821840900
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Condizione: New. Algorithmic number theory is a branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. This book describes the various algorithms used in cryptography. Series: Translations of Mathematical Monographs Reprint. Num Pages: 243 pages. BIC Classification: PBH; UYA. Category: (P) Professional & Vocational. Weight in Grams: 617. . 2006. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821840900
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