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Algorithmic Number Theory by J.P. Buhler, P. Stevenhagen
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Algorithmic Number Theory
by J.P. Buhler, P. Stevenhagen
Publisher: Cambridge University Press 2008
Number of pages: 662
Algorithmic number theory has gradually emerged as an important and distinct field with connections to computer science and cryptography as well as other areas of mathematics. This text provides a comprehensive introduction to algorithmic number theory for beginning graduate students, written by the leading experts in the field. It includes several articles that cover the essential topics in this area, such as the fundamental algorithms of elementary number theory, lattice basis reduction, elliptic curves, algebraic number fields, and methods for factoring and primality proving.