Binary Quadratic Forms: An Algorithmic Approach. Alogrithms and Computation in Mathematics, Volume 20.

by Johannes Buchmann, Ulrich Vollmer

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.

327 pages, ebook

First published January 1, 2007