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Binary Quadratic Forms: An Algorithmic Approach

Binary Quadratic Forms: An Algorithmic Approach

Paperback

Series: Algorithms and Computation in Mathematics, Book 20

General ComputersGeneral MathematicsComputer Security

ISBN10: 3642079717
ISBN13: 9783642079719
Publisher: Springer
Published: Nov 25 2010
Pages: 318
Weight: 1.04
Height: 0.70 Width: 6.14 Depth: 9.21
Language: English

The book deals with algorithmic problems related to binary quadratic forms. Written by a world leader in number theory, it is the only book focusing on the algorithmic aspects of the theory. It deals with problems such as finding the representations of an integer by a form with integer coefficients, finding the minimum of a form with real coefficients and deciding equivalence of two forms. In order to solve those problems, 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. It requires only basic mathematical knowledge.

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