Diophantine Equations with 1 Variable ← Number Theory ← Socratica

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In number theory, Diophantine equations are those where you are only looking for integer solutions. This restriction sounds like it might make the problem easier, but in fact it results in a mathematical puzzle that are among the most difficult to solve.

In this video we explore the simplest Diophantine equation: polynomial equations with a single unknown. In this case, we can devise an algorithm that is guaranteed to find all solutions, if any exist.

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Written & Produced by Michael Harrison
Edited by Megi Shuke

About our Instructor:

Michael earned his BS in Math from Caltech, and did his graduate work in Math at UC Berkeley and University of Washington, specializing in Number Theory. A self-taught programmer, Michael taught both Math and Computer Programming at the college level. He applied this knowledge as a financial analyst (quant) and as a programmer at Google.

#numbertheory
#diophantine
#mathematics