Quadratic Diophantine Equations

Hardcover | August 27, 2015

byTitu Andreescu, Dorin Andrica

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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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From the Publisher

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 q...

From the Jacket

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. These new techniques combined with the latest increases in computational power shed new light on important open problems.Key features:Motivates the study of qu...

Format:HardcoverDimensions:240 pages, 9.25 × 6.1 × 0.01 inPublished:August 27, 2015Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387351566

ISBN - 13:9780387351568

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Table of Contents

Introduction.-Why Pell's equation?.-Two useful techniques: continued fractions and quadratic rings.-Pell's equation.-General Pell's equation.-Equations reducible to Pell's equation.-Diophantine representations of some sequences.-Other applications.-Glossary.-References.-Index.