Quadratic Diophantine Equations by Titu Andreescu

Quadratic Diophantine Equations

byTitu Andreescu, Dorin Andrica

Hardcover | June 30, 2015

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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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Title:Quadratic Diophantine EquationsFormat:HardcoverDimensions:240 pages, 9.25 × 6.1 × 0.98 inPublished:June 30, 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.