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Science/Engineering Binary Quadratic Forms: An Algorithmic Approach (Algorithms and Computation in Mathematics)

Posted on 2010-03-15




Name:Science/Engineering Binary Quadratic Forms: An Algorithmic Approach (Algorithms and Computation in Mathematics)
ASIN/ISBN:3540463674
Language:English
File size:3.3 Mb
Publisher: Springer (2007-04-04)
ISBN: 3540463674
File Type: PDF
File Size: 3.3 Mb
Pages: 318 pages
   Science/Engineering Binary Quadratic Forms: An Algorithmic Approach (Algorithms and Computation in Mathematics)



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Binary Quadratic Forms: An Algorithmic Approach (Algorithms and Computation in Mathematics)

The book deals with algorithmic problems related to binary quadratic forms, 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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