Diophantine Equations with 1 Variable ← Number Theory ← Socratica

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Socratica

Socratica

8 ай бұрын

𝙎𝙞𝙜𝙣 𝙪𝙥 for Number Theory course (coming soon) on our website:
www.socratica.com/courses/num...
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.
If you enjoy what we do, please consider supporting us on Patreon so we can continue making educational videos that help you Learn More:
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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

Пікірлер: 8
@gigaribosome
@gigaribosome 8 ай бұрын
What a coincidence I wanted it and it was 11 years ago and this video is 7 hours ago quite surprising
@kamalofdeka
@kamalofdeka 8 ай бұрын
I liked the video so much that I immediately subscribed. Learned a valuable technique
@paulcooper8818
@paulcooper8818 8 ай бұрын
Very good presentation
@kurtandrews7450
@kurtandrews7450 8 ай бұрын
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
@Socratica 8 ай бұрын
We're so glad you're watching with us! That's the best feeling, discovering something new. 💜🦉
@michaelisaacs8384
@michaelisaacs8384 8 ай бұрын
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.
@epicgaming617
@epicgaming617 4 ай бұрын
8th grader in india solve this easily😂😂 I am talking about ioqm students
@harlangoulding8405
@harlangoulding8405 8 ай бұрын
Promo_SM 😞
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