Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography (Mathematical Sciences Research Institute Publications, Series Number 44)

ISBN 10: 0521208335 / ISBN 13: 9780521208338

Edité par Cambridge University Press, 2011

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N° de réf. du vendeur ria9780521208338_new

Détails bibliographiques

• Titre: Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography (Mathematical Sciences Research Institute Publications, Series Number 44)
• Éditeur: Cambridge University Press
• Date de parution: 2011
• Langue: anglais
• ISBN à 10 chiffres: 0521208335
• ISBN à 13 chiffres: 9780521208338
• Reliure: Couverture souple
• État de l'article: New

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Synopsis

An introduction to number theory for beginning graduate students with articles by the leading experts in the field.

Présentation de l'éditeur

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.