Quadratic Diophantine Equations

  • Titu Andreescu
  • Dorin Andrica

Part of the Developments in Mathematics book series (DEVM, volume 40)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Titu Andreescu, Dorin Andrica
    Pages 1-8
  3. Titu Andreescu, Dorin Andrica
    Pages 31-53
  4. Titu Andreescu, Dorin Andrica
    Pages 55-105
  5. Titu Andreescu, Dorin Andrica
    Pages 107-143
  6. Titu Andreescu, Dorin Andrica
    Pages 145-167
  7. Titu Andreescu, Dorin Andrica
    Pages 169-199
  8. Back Matter
    Pages 201-211

About this book

Introduction

This monograph 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. The authors motivate the study of quadratic Diophantine equations with excellent examples, open problems, and applications. Moreover, the exposition aptly demonstrates many applications of results and techniques from the study of Pell-type equations to other problems in number theory.

The book is intended for advanced undergraduate and graduate students as well as researchers. It challenges the reader to apply not only specific techniques and strategies, but also to employ methods and tools from other areas of mathematics, such as algebra and analysis.

Keywords

Pell's equation algebra diophantine equations number theory

Authors and affiliations

  • Titu Andreescu
    • 1
  • Dorin Andrica
    • 2
  1. 1.School of Natural Sciences and MathematicsUniversity of Texas at DallasRichardsonUSA
  2. 2.Faculty of Mathematics & Computer Science"Babeş-Bolyai" UniversityCluj-NapocaRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-54109-9
  • Copyright Information Springer Science+Business Media New York 2015
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-35156-8
  • Online ISBN 978-0-387-54109-9
  • Series Print ISSN 1389-2177
  • Series Online ISSN 2197-795X
  • About this book