Continued Fractions and solving Diophantine Equations

In this video Continued fractions are used to solve Diophantine equations. Using an example it is explained how Euclidean Algorithm is used to first form the continued fractions and then Diophantine equation is solved. Important Theorems are given which are used for solving the Diophantine equations. Examples have been used for explanation everywhere. Some easy and direct methods are also mentioned.

Notes, Class lectures and Practice problems and solutions can be found on my website
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Chapters
00:22 kth convergents
03:06 Formulas for kth convergents
04:06 Solving Diophantine equation using Continued Fractions example
18:08 Finding convergents directly