This text treats the classical theory of quadratic diophantine
equations and guides the reader through the last two decades of
computational techniques and progress in the area. The presentation
features two basic methods to investigate and motivate the study of
quadratic diophantine equations: the theories of continued
fractions and quadratic fields. It also discusses Pell's equation
and its generalizations, and presents some important quadratic
diophantine equations and applications. The inclusion of examples
makes this book useful for both research and classroom settings.
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