Quadratic diophantine equations
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 resul…
Read More ↓Title Statements
- Full title :Quadratic diophantine equations / Titu Andreescu and Andrica Dorin ; foreword by Preda Mihăilescu.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2015.
Publication Statements
- Publisher(s):Springer
- Place of Publication:New York
- Language:eng
- Publication Date:2015.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9780387541099, 0387541098, 0387351566, 9780387351568, 9780387563787, 0387563784, 9781493938803, 1493938800
- DOI:10.1007/978-0-387-54109-9
- oclc:ocn913230358
- LC Classification:QA215
- Dewey Decimal:512.9/4222
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.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Symbolic computation and automated reasoning
Storia dell'algebra
Algèbre
Files & Downloads
-
Quadratic Diophantine Equations -- (.pdf)
PDF · 2.0 MB · updated -
Quadratic Diophantine Equations -- (.pdf)
PDF · 1.0 MB · updated -
Notices of the American Mathematical Society -- (…
PDF · 17.1 MB · updated -
Notices of the American Mathematical Society -- (…
PDF · 18.0 MB · updated
Rate & Review