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

[@gigaribosome]

What a coincidence I wanted it and it was 11 years ago and this video is 7 hours ago quite surprising

[@kamalofdeka]

I liked the video so much that I immediately subscribed. Learned a valuable technique

[@kurtandrews7450]

I've studied a lot of mathematics in my lifetime. I'm an engineer and computer scientist by education, not a mathematician. I've never heard of these before. Thanks for the education!

[@Socratica]

We're so glad you're watching with us! That's the best feeling, discovering something new. 💜🦉

[@paulcooper8818]

Very good presentation

[@michaelisaacs8384]

This seems like a very limited case usage though. Only 1 variable, integer coefficients, with only finding integer solutions. Very specific case. I'm hoping though that this is just the first step in to a more general solution for all Diophantine equations.

[@harlangoulding8405]

Promo_SM 😞

[@epicgaming617]

8th grader in india solve this easily😂😂
I am talking about ioqm students