Complex Analysis L10: Cauchy Integral Formula

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Steve Brunton

Steve Brunton

Жыл бұрын

This video explores the Cauchy Integral Formula (CIF), which is one of the most important theorems for complex contour integrals.
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This video was produced at the University of Washington

Пікірлер: 28
@ralphhebgen7067
@ralphhebgen7067
“Don’t drink and derive”. Seriously? 😂😂
@kashifislam6550
@kashifislam6550
Dear sir, as you have established the inequality I2 is less than or equal to 2pi*iota*epsilon. But we know that "iota" does not obey order relations <,=,>.
@DaviidReiis
@DaviidReiis Жыл бұрын
“It’s koh-shee, not 🛋y” 👁👄👁🪄
@Entropy3ko
@Entropy3ko Жыл бұрын
You are a very gifted teacher
@bSharpHacker
@bSharpHacker Жыл бұрын
Oh I remember this topic when taking Mathematical Methods for Physicists, by Arfken back in the mid 90s. I wish I had KZfaq videos like this back then! So jealous 😁
@isaksolarinte8053
@isaksolarinte8053
Axel Walter in Lund
@rafvermeer6777
@rafvermeer6777 Жыл бұрын
You can also write f as a Taylor series to prove the theorem.
@final_gamesy
@final_gamesy
For I2 didn't you just prove that the integral will be zero for the smaller circle. How can we be sure that the integral along the curve will be zero from that???
@wes7016
@wes7016
Been searching for a video like this for a while. Great job
@final_gamesy
@final_gamesy
For I2 didn't you just prove that the integral will be zero for the smaller circle. How can we be sure that the integral along the curve will be zero from that???
@Pauly-ul9ob
@Pauly-ul9ob
Many thanks for these videos, they are truly entertaining and brilliant.
@jayC0al
@jayC0al
"Analytic functions are continuous on steroids" man😂🔥
@ralphhebgen7067
@ralphhebgen7067
2:59
@octaviobriguera6
@octaviobriguera6
Gracias 👍
@mumina_b
@mumina_b Жыл бұрын
Thank you for this video
@Alan-zf2tt
@Alan-zf2tt
These are great! Thank you for sharing and... is this okay?
@juniorcyans2988
@juniorcyans2988
Great🎉🎉🎉
@hoseinzahedifar1562
@hoseinzahedifar1562 Жыл бұрын
The link you solved the exercise on Matlab (I didn't find any code in python):
@hoseinzahedifar1562
@hoseinzahedifar1562 Жыл бұрын
In time
@final_gamesy
@final_gamesy
For I2 didn't you just prove that the integral will be zero for the smaller circle. How can we be sure that the integral along the curve will be zero from that???
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