Developments in Mathematics

Quadratic Diophantine Equations

Authors: Andreescu, Titu, Andrica, Dorin

  • Includes both theoretical and computational examples
  • Explores new computational techniques for quadratic diophantine equations
  • The techniques presented shed light on important open problems
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eBook 41,64 €
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  • ISBN 978-0-387-54109-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-0-387-35156-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-1-4939-3880-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

Reviews

“Diophantine analysis aims to solve equations (usually polynomial) in integers (or rationals). … this work settles the classical foundation, then develops state-of-the-art issues, especially concerning computation. … Summing Up: Recommended. Lower-division undergraduates through professionals/practitioners.” (D. V. Feldman, Choice, Vol. 53 (9), May, 2016)

“The primary focus of this book under review is the integer solutions of Pell equations, their generalisations and related diophantine equations, along with applications of these equations. … The book is suitable for readers from the level of a motivated undergraduate upwards, who are interested in the classical techniques for solving such equations. … There is also an extensive bibliography.” (Paul M. Voutier, Mathematical Reviews, March, 2016)


Table of contents (7 chapters)

  • Why Quadratic Diophantine Equations?

    Andreescu, Titu (et al.)

    Pages 1-8

    Preview Buy Chapter 30,19 €
  • Continued Fractions, Diophantine Approximation, and Quadratic Rings

    Andreescu, Titu (et al.)

    Pages 9-29

    Preview Buy Chapter 30,19 €
  • Pell’s Equation

    Andreescu, Titu (et al.)

    Pages 31-53

    Preview Buy Chapter 30,19 €
  • General Pell’s Equation

    Andreescu, Titu (et al.)

    Pages 55-105

    Preview Buy Chapter 30,19 €
  • Equations Reducible to Pell’s Type Equations

    Andreescu, Titu (et al.)

    Pages 107-143

    Preview Buy Chapter 30,19 €

Buy this book

eBook 41,64 €
price for Spain (gross)
  • ISBN 978-0-387-54109-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-0-387-35156-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-1-4939-3880-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Quadratic Diophantine Equations
Authors
Series Title
Developments in Mathematics
Series Volume
40
Copyright
2015
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-387-54109-9
DOI
10.1007/978-0-387-54109-9
Hardcover ISBN
978-0-387-35156-8
Softcover ISBN
978-1-4939-3880-3
Series ISSN
1389-2177
Edition Number
1
Number of Pages
XVIII, 211
Topics