Diophantine Equations with 1 Variable ← Number Theory ← Socratica
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11 ماه پیش
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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.
If you enjoy what we do, please consider supporting us on Patreon so we can continue making educational videos that help you Learn More:
Patreon: socratica
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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
https://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:
Patreon: socratica
✷✷✷
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
11 ماه پیش
در تاریخ 1402/07/12 منتشر شده
است.
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