Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography (Mathematical Sciences Research Institute Publications)

J. P. Buhler

ISBN 10: 0521208335 / ISBN 13: 9780521208338

Published by Cambridge University Press 2012-04-25, 2012

About this Item

Seller Inventory # 6666-IUK-9780521208338

Bibliographic Details

• Title: Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography (Mathematical Sciences Research Institute Publications)
• Publisher: Cambridge University Press 2012-04-25
• Publication Date: 2012
• Language: English
• ISBN 10: 0521208335
• ISBN 13: 9780521208338
• Binding: Paperback
• Condition: New

About this title

Synopsis

Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role which has increased dramatically in the last 20 or 30 years, both because of the advent of modern computers, and because of the discovery of surprising and powerful algorithms. As a consequence, 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, and in addition, there are contributions pointing in broader directions, including cryptography, computational class field theory, zeta functions and L-series, discrete logarithm algorithms, and quantum computing.

Book Description

This comprehensive 2008 introduction for beginning graduate students contains articles by the leading experts in the field. It covers basic topics such as algorithmic aspects of number fields, elliptic curves, and lattice basis reduction and advanced topics including cryptography, computational class field theory, zeta functions and L-series, and quantum computing.