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Analytic Methods in the Analysis and Design of Number Theoretic Algorithms (Acm Distinguished Dissertations)

Analytic Methods in the Analysis and Design of Number Theoretic Algorithms

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Analytic Methods in the Analysis and Design of Number Theoretic Algorithms (Acm Distinguished Dissertations)

Analytic Methods in the Analysis and Design of Number Theoretic Algorithms

4.85 78,295 ratings · 2,988 reviews
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Overview: 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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ISBN
1369865
Publication date
August 14, 1985
Pages
N/A pages
Reading Options
PDF · EPUB · Mobi
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After spending years working in the corporate world, Eric Bach finally decided to pursue a lifelong passion for writing. They currently reside in a quiet suburb where they spend most of their time outlining new stories, reading extensively, and occasionally attempting to bake.

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I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece.
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