Cover of Titu Andreescu, Dorin Andrica: Quadratic Diophantine Equations

Titu Andreescu, Dorin Andrica Quadratic Diophantine Equations

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Springer New York

2015

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978-0-387-54109-9

0-387-54109-8

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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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