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Why Quadratic Diophantine Equations? Read chapter Read first chapter

2015 | OriginalPaper | Chapter

2. Continued Fractions, Diophantine Approximation, and Quadratic Rings

Authors : Titu Andreescu, Dorin Andrica

Published in: Quadratic Diophantine Equations

Publisher: Springer New York

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Abstract

The main goal of this chapter is to lay out basic concepts needed in our study in Diophantine Analysis. The first section contains fundamental results pertaining to continued fractions, some without proofs. The Theory of Continued Fractions is not new but it plays a growing role in contemporary mathematics.

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previous chapter Why Quadratic Diophantine Equations?
next chapter Pell’s Equation
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Metadata
Title
Continued Fractions, Diophantine Approximation, and Quadratic Rings
Authors
Titu Andreescu
Dorin Andrica
Copyright Year
2015
Publisher
Springer New York
Book
Quadratic Diophantine Equations

Print ISBN: 978-0-387-35156-8

Electronic ISBN: 978-0-387-54109-9

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-0-387-54109-9_2

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