The Resource A computational introduction to number theory and algebra, Victor Shoup

A computational introduction to number theory and algebra, Victor Shoup

Label
A computational introduction to number theory and algebra
Title
A computational introduction to number theory and algebra
Statement of responsibility
Victor Shoup
Creator
Subject
Language
eng
Cataloging source
UKM
http://library.link/vocab/creatorName
Shoup, Victor
Index
index present
LC call number
QA241
LC item number
.S465 2005
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Computer science
  • Number theory
Target audience
specialized
Label
A computational introduction to number theory and algebra, Victor Shoup
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 504-509) and indexes
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
Dimensions
26 cm.
Extent
xvi, 517 p.
Isbn
9780521617253
Isbn Type
(pbk.)
Lccn
20065306 70
System control number
  • (OCoLC)57527998
  • (OCoLC)57527998
Label
A computational introduction to number theory and algebra, Victor Shoup
Publication
Bibliography note
Includes bibliographical references (p. 504-509) and indexes
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
Dimensions
26 cm.
Extent
xvi, 517 p.
Isbn
9780521617253
Isbn Type
(pbk.)
Lccn
20065306 70
System control number
  • (OCoLC)57527998
  • (OCoLC)57527998

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