A computational introduction to number theory and algebra

Research output: Book/ReportBook

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 languageEnglish (US)
PublisherCambridge University Press
Number of pages517
ISBN (Print)9781139165464, 9780521851541
DOIs
StatePublished - Jan 1 2005

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Number theory
Algebra
Cryptography
Textbooks
Computer science
Students
Communication

ASJC Scopus subject areas

  • Computer Science(all)

Cite this

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

Cambridge University Press, 2005. 517 p.

Research output: Book/ReportBook

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