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A course in computational algebraic number theory

Author: Henri Cohen
Publisher: Berlin ; New York : Springer, ©2000.
Series: Graduate texts in mathematics, 138.
Edition/Format:   Print book : English : 4th printView all editions and formats
Summary:

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.

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Document Type: Book
All Authors / Contributors: Henri Cohen
ISBN: 3540556400 9783540556404 0387556400 9780387556406
OCLC Number: 47522533
Description: xx, 545 p. : illustrations ; 24 cm.
Contents: 1. Fundamental Number-Theoretic Algorithms.- 2. Algorithms for Linear Algebra and Lattices.- 3. Algorithms on Polynomials.- 4. Algorithms for Algebraic Number Theory I.- 5. Algorithms for Quadratic Fields.- 6. Algorithms for Algebraic Number Theory II.- 7. Introduction to Elliptic Curves.- 8. Factoring in the Dark Ages.- 9. Modern Primality Tests.- 10. Modern Factoring Methods.- Appendix A. Packages for Number Theory.- Appendix B. Some Useful Tables.- B.1. Table of Class Numbers of Complex Quadratic Fields.- B.2. Table of Class Numbers and Units of Real Quadratic Fields.- B.3. Table of Class Numbers and Units of Complex Cubic Fields.- B.4. Table of Class Numbers and Units of Totally Real Cubic Fields.- B.5. Table of Elliptic Curves.
Series Title: Graduate texts in mathematics, 138.
Responsibility: Henri Cohen.

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From the reviews:H. CohenA Course in Computational Algebraic Number Theory"With numerous advances in mathematics, computer science, and cryptography, algorithmic number theory has become an important Read more...

 
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