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Binary Quadratic Forms

An Algorithmic Approach

Paperback Engels 2010 9783642079719
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Samenvatting

The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography and requires only basic mathematical knowledge. The author is a world leader in number theory.

Specificaties

ISBN13:9783642079719
Taal:Engels
Bindwijze:paperback
Aantal pagina's:318
Uitgever:Springer Berlin Heidelberg

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Inhoudsopgave

Binary Quadratic Forms.- Equivalence of Forms.- Constructing Forms.- Forms, Bases, Points, and Lattices.- Reduction of Positive Definite Forms.- Reduction of Indefinite Forms.- Multiplicative Lattices.- Quadratic Number Fields.- Class Groups.- Infrastructure.- Subexponential Algorithms.- Cryptographic Applications.

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€ 60,99
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        Binary Quadratic Forms