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Continued Fractions in Number Theory

Finite Continued Fractions → Fundamental Unit and Regulator

A comprehensive path from the basics of continued fractions to their advanced applications in number theory, focusing on rational approximation and Pell's equation. It builds a rigorous foundation through Euclidean algorithms, convergents, and periodic continued fractions, culminating in the solution of Pell's equation and Diophantine approximation.

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10 steps · 10 nodes · 3 stages

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Path Steps

10 steps · 3 stages. Click any step to inspect it and see it on the Path Map.

Stage 1

Foundation

4 steps

Stage 2

Core Concepts

3 steps

Stage 3

Advanced Topics

3 steps

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Foundation

Core Concepts

Advanced Topics

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