Title: Continued fractions and the Pell equation
Author: Martin Kuděj
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A long time ago, there were dinosaurs. But they didn't solve diophantine equations thus they became extinct. This means that we have to solve them not to suffer the same fate! Let's begin with the Pell equation x^2-Ny^2=+-1 by solving it using a good choice of a rational approximation of the square root of N, which will be found using continued fractions.

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Video (backup): Videosoubor (MP4) Continued fractions and the Pell equation.mp4
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