### Abstract

This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory. This edition now includes over 150 new exercises, ranging from the routine to the challenging, that flesh out the material presented in the body of the text, and which further develop the theory and present new applications. The material has also been reorganized to improve clarity of exposition and presentation. 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 | 580 |

ISBN (Print) | 9780511814549, 9780521516440 |

DOIs | |

State | Published - Jan 1 2015 |

### Fingerprint

### 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/CBO9780511814549

**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/CBO9780511814549

}

TY - BOOK

T1 - A computational introduction to number theory and Algebra

AU - Shoup, Victor

PY - 2015/1/1

Y1 - 2015/1/1

N2 - This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory. This edition now includes over 150 new exercises, ranging from the routine to the challenging, that flesh out the material presented in the body of the text, and which further develop the theory and present new applications. The material has also been reorganized to improve clarity of exposition and presentation. Ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

AB - This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory. This edition now includes over 150 new exercises, ranging from the routine to the challenging, that flesh out the material presented in the body of the text, and which further develop the theory and present new applications. The material has also been reorganized to improve clarity of exposition and presentation. Ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

UR - http://www.scopus.com/inward/record.url?scp=84952759885&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84952759885&partnerID=8YFLogxK

U2 - 10.1017/CBO9780511814549

DO - 10.1017/CBO9780511814549

M3 - Book

SN - 9780511814549

SN - 9780521516440

BT - A computational introduction to number theory and Algebra

PB - Cambridge University Press

ER -