Gauss Divergence Theorem. Get the DEEPEST Intuition.

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00:00 Equation
00:05 Surface integral in the Divergence Theorem
04:21 Volume integral in the Divergence Theorem
07:09 Summary

Books by Alexander Fufaev:
1) Equations of Physics: Solve EVERY Physics Problem
2) Alexander Fufaev and His Never Ending Story:

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Books by Alexander Fufaev:
1) Equations of Physics: Solve EVERY Physics Problem
2) Alexander Fufaev and His Never Ending Story:

fufaev-alexander

The very essence of clarity. As a city bus driver, I must say this is easily the most straightforward explanation of GDT I have ever heard. Many thanks!

jobebrian

You set out to give "the deepest understanding" You achieved this magnicently. Thanks a million.

malefetsanekoalane

That is probably the clearest explanation I've ever had in my life. This is truly brilliant 👏

piotr

Sir, I am a physics student, please teach the green theorem and stoke theorem, I am always support for u, thank u for your teaching, thanks a lot 😊😊

shobanaa

You actually explain things. Most of my professors speak as if I should already know the topic I am learning. You are a savior.

KsmithBlackstar

This is really how one should explain the divergence theorem . It plays a central role in partial differential equations and has many applications.
Well done !

renesperb

In CFD, Gauss divergence theorem is very important for FVM. Thank you so much for this clear and intuitive explanation.

tennisfreak

It is so Unlike the book just teaching us how to put the number into it, it explains what exactly we are doing so we can be more easy to understand and accept the concept. Thank you so much.

petercheng

I am just amazed. After 6 years of studying this was the best video I have ever seen.

marcelb

The best explanation I have seen yet. Thank you bro 🙏

haroonrasheed

A very explicit and intuitive explanation. Thanks.

ShizhouLuo

absolutely amazing explanation to do in 9 minutes is brilliant

joeponsford

I was at a taster lecture where a Cambridge professor tried to explain this formula, and I was entirely dumbfounded.
But now that I've watched your video, it all makes sense!

JakubS

Thank you for your explanation! It's the clearest explanation of the divergence theorem I've ever seen. When reading the calculus textbook, it just tell me the theorem and a mathematical proof, but the connection between the divergence theorem and the green theorem is still ambiguous to me. Your animation helps me understand the connection between them! Thank you very much!

WenGao-ysrw

Wish I could like this video twice. I know nothing of the intuition behind Electrodynamics, and yet this made it max’s equations seem as clear as day. Great work!

mayonakao

It's nice when you have someone who can explain things in a way that are intuitive. Please keep up the good work.

Epoch

I am an EE engineer and I must say, this is THE BEST illustration of GDT I have seen, and I have seen MANY! Well done. (Same with your Maxwell Equation video)

djredrover

This is a gem - I came across it as a suggestion from Youtube while viewing tutorials about Transformers. The equation in this video gave me a deeper understading of the use of scalar and dot product in understanding the similarties between features and the relationships between features. Thanks a lot!

manarlab

Oh man! I wish I had this video back in 2012 during my first year in Engineering.

sjonnithors

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