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Number Theory for Computing

  • Song Y. Yan

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Song Y. Yan
    Pages 1-172
  3. Song Y. Yan
    Pages 173-302
  4. Back Matter
    Pages 415-435

About this book

Introduction

There are many surprising connections between the theory of numbers, which is one of the oldest branches of mathematics, and computing and information theory. Number theory has important applications in computer organization and security, coding and cryptography, random number generation, hash functions, and graphics. Conversely, number theorists use computers in factoring large integers, determining primes, testing conjectures, and solving other problems. This book takes the reader from elementary number theory, via algorithmic number theory, to applied number theory in computer science. It introduces basic concepts, results, and methods, and discusses their applications in the design of hardware and software, cryptography, and security. It is aimed at undergraduates in computing and information technology, including electrical and electronic engineering, but will also be valuable to mathematics students interested in applications. It presupposes only high-shool math.
In this 2nd edition proofs of many theorems are added and some corrections are made.

Keywords

Number theory Prime algorithm algorithms cryptography hash function information information theory tar

Authors and affiliations

  • Song Y. Yan
    • 1
  1. 1.Computer ScienceAston UniversityBirminghamUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-04773-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07710-4
  • Online ISBN 978-3-662-04773-6
  • Buy this book on publisher's site