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Detalles bibliogr�ficos

T�tulo

Analytic Methods in the Analysis and Design of Number Theoretic Algorithms

Editor

MIT Press

Fecha de publicaci�n

1985

Idioma

Ingl�s

ISBN 10

0262022192

ISBN 13

9780262022194

Encuadernaci�n

Hardcover

Estado

Bon

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Sinopsis

This book makes a substantial contribution to the understanding of a murky area of number theory that is important to computer science, an area relevant to the design and analysis of number-theoretic algorithms and to the construction of cryptographic protocols.

Contents: Introduction; 1: Explicit Bounds for Primality Testing; Ankeny's Theorem and its Algorithmic Consequences; Background from Analytic Number Theory; Roots; Asymptotic Theorems; Zeta-function Estimates; Numerical Theorems; Computing Bounds for Specific Moduli; Comparisons with Empirical Results; 2: The Generation of Random Factorizations; Introduction; A Method That Almost Works; Doctoring the Odds; A Factor Generation Procedure; The Complete Algorithm; 2.5 Bounds for the Number of Prime Tests; A Single-precision Time Bound; The Use of Probabilistic Primality Tests.

Eric Bach received his doctorate from the University of California at Berkeley. He is currently an Assistant Professor of Computer Science at the University of Wisconsin at Madison. Analytic Methods in the Analysis and Design of Number Theoretic Algorithms is a 1984 ACM Distinguished Dissertation.

Rese�a del editor

This book makes a substantial contribution to the understanding of a murky area of number theory that is important to computer science, an area relevant to the design and analysis of number-theoretic algorithms and to the construction of cryptographic protocols.Contents: Introduction; 1: Explicit Bounds for Primality Testing; Ankeny's Theorem and its Algorithmic Consequences; Background from Analytic Number Theory; Roots; Asymptotic Theorems; Zeta-function Estimates; Numerical Theorems; Computing Bounds for Specific Moduli; Comparisons with Empirical Results; 2: The Generation of Random Factorizations; Introduction; A Method That Almost Works; Doctoring the Odds; A Factor Generation Procedure; The Complete Algorithm; 2.5 Bounds for the Number of Prime Tests; A Single-precision Time Bound; The Use of Probabilistic Primality Tests.Eric Bach received his doctorate from the University of California at Berkeley. He is currently an Assistant Professor of Computer Science at the University of Wisconsin at Madison. "Analytic Methods in the Analysis and Design of Number Theoretic Algorithms" is a 1984 ACM Distinguished Dissertation.

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English below. Ammareal est une librairie professionnelle sp�cialis�e dans le livre d?occasion. Nous exp�dions partout dans le monde. Nous avons plus de 250 000 ouvrages en stock dont un grand nombre de livres techniques et acad�miques. Nous reversons jusqu?� 15% du prix de vente de chaque livre � des organisations caritatives, des biblioth�ques et des associations luttant contre l?illettrisme. Ce que nous ne vendons pas nous le donnons, ce que nous ne donnons pas nous le recyclons. Ammareal is a professional bookseller speciliazed in used books. We ship worldwide. We have more than 250 000 books in stock, including a large number of technical and university-level books. We give back up to 15% of the price of each book to charities, libraries and organizations fighting in favor of literacy. What we do not sell, we give, what we do not give we recycle.

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