Research Catalog

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

Title
A computational introduction to number theory and algebra / Victor Shoup.
Author
Shoup, Victor.
Publication
Cambridge ; New York : Cambridge University Press, 2005.

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StatusVol/DateFormatAccessCall NumberItem Location
c.2TextRequest in advance QA241 .S465 2005 c.2Off-site

Details

Description
xvi, 517 p.; 26 cm.
Subject
  • Algoritmen
  • Computer science > Mathematics
  • Geheimschrift
  • Nombres, Théorie des > Informatique
  • Number theory
  • Numerieke wiskunde
Bibliography (note)
  • Includes bibliographical references (p. 504-509) and indexes.
Processing Action (note)
  • committed to retain
Contents
Basic properties of the integers -- Congruences -- Computing with large integers -- Euclid's algorithm -- The distribution of primes -- Finite and discrete probability distributions -- Probabilistic algorithms -- Abelian groups -- Rings -- Probabilistic primality testing -- Finding generators and discrete logarithms in Z*p -- Quadratic residues and quadratic reciprocity -- Computational problems related to quadratic residues -- Modules and vector spaces -- Matrices -- Subexponential-time discrete logarithms and factoring -- More rings -- Polynomial arithmetic and applications -- Linearly generated sequences and applications -- Finite fields -- Algorithms for finite fields -- Deterministic primality testing.
ISBN
  • 0521851548 (cased)
  • 9780521851541 (cased)
  • 0521617251 (pbk.)
  • 9780521617253 (pbk.)
LCCN
^^2006530670
OCLC
57527998
Owning Institutions
Harvard Library