Pub. Date:
Springer New York
Quadratic Diophantine Equations / Edition 1

Quadratic Diophantine Equations / Edition 1

by Titu Andreescu, Dorin AndricaTitu Andreescu


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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.

Product Details

ISBN-13: 9780387351568
Publisher: Springer New York
Publication date: 06/30/2015
Series: Developments in Mathematics , #40
Edition description: 2015
Pages: 211
Product dimensions: 6.40(w) x 9.30(h) x 0.80(d)

Table of Contents

Why Quadratic Diophantine Equations?.- Continued Fractions, Diophantine Approximation and Quadratic Rings.- Pell's Equation.- General Pell's Equation.- Equations Reducible to Pell's Type Equations.- Diophantine Representations of Some Sequences.- Other Applications.

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