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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Printed edition |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Song Y Yan |

ISBN: | 9783662047736 366204773X |

OCLC Number: | 1058418390 |

Description: | 1 online resource (XXII, 435 pages) : online resource |

Contents: | Foreword by Martin E. Hellman -- Preface to the Second Edition -- Preface to the First Edition -- 1. Elementary Number Theory -- 2. Computational/Algorithmic Number Theory -- 3. Applied Number Theory -- Bibliography -- Index. |

Responsibility: | by Song Y. Yan. |

### Abstract:

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.

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