### Abstract

Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The mathematical prerequisites are minimal: nothing beyond material in a typical undergraduate course in calculus is presumed, other than some experience in doing proofs - everything else is developed from scratch. Thus the book can serve several purposes. It can be used as a reference and for self-study by readers who want to learn the mathematical foundations of modern cryptography. It is also ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

Original language | English (US) |
---|---|

Publisher | Cambridge University Press |

Number of pages | 517 |

ISBN (Print) | 9781139165464, 9780521851541 |

DOIs | |

State | Published - Jan 1 2005 |

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### ASJC Scopus subject areas

- Computer Science(all)

### Cite this

*A computational introduction to number theory and algebra*. Cambridge University Press. https://doi.org/10.1017/CBO9781139165464

**A computational introduction to number theory and algebra.** / Shoup, Victor.

Research output: Book/Report › Book

*A computational introduction to number theory and algebra*. Cambridge University Press. https://doi.org/10.1017/CBO9781139165464

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T1 - A computational introduction to number theory and algebra

AU - Shoup, Victor

PY - 2005/1/1

Y1 - 2005/1/1

N2 - Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The mathematical prerequisites are minimal: nothing beyond material in a typical undergraduate course in calculus is presumed, other than some experience in doing proofs - everything else is developed from scratch. Thus the book can serve several purposes. It can be used as a reference and for self-study by readers who want to learn the mathematical foundations of modern cryptography. It is also ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

AB - Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The mathematical prerequisites are minimal: nothing beyond material in a typical undergraduate course in calculus is presumed, other than some experience in doing proofs - everything else is developed from scratch. Thus the book can serve several purposes. It can be used as a reference and for self-study by readers who want to learn the mathematical foundations of modern cryptography. It is also ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

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PB - Cambridge University Press

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