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    Station Eleven

    Emily St. John Mandel 9780385353304

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Course in Computational Algebraic Number

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Course in Computational Algebraic Number Cover

 

Synopses & Reviews

Publisher Comments:

A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.

Synopsis:

Describes 148 algorithms which are essential for number-theoretic computations, in particular for computations related to lattices, algebraic number theory, elliptic curves, primality testing and factoring. For each algorithm, a theoretical introduction is given so that prerequisites are reduced to a minimum.

Product Details

ISBN:
9783540556404
Author:
COHEN, H. (UNIVERSITY OF BORDEAUX, TALENCE, FRANCE)
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
Computer Science
Subject:
Data processing
Subject:
Number Theory
Subject:
Algorithms
Subject:
Algebraic number theory
Subject:
Factorisation
Subject:
Programming - Algorithms
Subject:
Computer Algebra
Subject:
symbolic computation
Subject:
11A51
Subject:
11C08
Subject:
11C20
Subject:
11R09
Subject:
11R11
Subject:
11R29
Subject:
11Y05
Subject:
11Y11
Subject:
11Y16
Subject:
11Y40
Subject:
Primality
Subject:
Algorithm Analysis and Problem Complexity
Subject:
Symbolic and Algebraic Manipulation This book describes 148 algorithms which are essential for serious number-theoretic computations, in particular for computations related to lattices, algebraic number theory, elliptic curves, primality testing and facto
Subject:
Mathematics-Number Theory
Subject:
Symbolic and Algebraic Manipulation
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Computer software
Subject:
Algebra_xData processing
Copyright:
Edition Number:
3
Edition Description:
1st ed. 1993. 4th printing
Series:
GRADUATE TEXTS IN MATHEMATICS S.
Series Volume:
138
Publication Date:
July 2000
Binding:
HARDCOVER
Language:
English
Illustrations:
1 schw.-w. Abb., 1 schw.-w. Zeichn.
Pages:
557
Dimensions:
216 x 138 in.

Related Subjects

Computers and Internet » Computers Reference » General
Computers and Internet » Personal Computers » General
Computers and Internet » Software Engineering » Algorithms
Reference » Science Reference » Technology
Science and Mathematics » Electricity » General Electricity
Science and Mathematics » Mathematics » Number Theory

Course in Computational Algebraic Number New Hardcover
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$99.25 In Stock
Product details 557 pages Springer - English 9783540556404 Reviews:
"Synopsis" by , Describes 148 algorithms which are essential for number-theoretic computations, in particular for computations related to lattices, algebraic number theory, elliptic curves, primality testing and factoring. For each algorithm, a theoretical introduction is given so that prerequisites are reduced to a minimum.
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