Divergence and Curl

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After nearly 40 years of pondering vector calculus,I think you have explained line integrals,volume integrals and surface integrals and how they are all tied together,thanks.

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Best visual physics demonstration channel so far :)

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Hours of misunderstandings cleared up in 25 minutes. Thank you!

Spend lots of time to understand actual meaning of divergence and curl and not succeeded , then found your video and understood in 25 minutes. Thanks you so much for these amazing videos. Best channel for Physics and mathematics.

Simple and elegant! Your videos are superb! I only wish that I would have come across them much sooner! Thank you for all your hard work Mr. Khutoryansky.

I can always go to a video involving the math of your topics following your newest video and follow it, thanks to how well you organize and present these. Thank you so much

I'm always happy to stumble on your videos when I can't get a concept through my head. So much better explained than in my engineering classes.

sincerely, I have just tangibly grasped the spatial meanings of the "rotational" vector and of the "divergence" scalar after having studied and manipulated them in math at the university, 45 years ago !! your videos are a blessing of rejuvenation !! I ❤️ them!

One of the most beautiful and highly oriented educative video. The efforts given are worth praise. Thanks for the subtle visual explanation

ur channel is amazing and it helps me visualizing the concepts i cant before. i m from pakistan n really a fan of urs.

You do amazing work! Please continue to produce these videos, they are an absolutely fantastic resource for understanding these concepts better.

I like to watch your videos before learning more strict definitions, they help a lot.

Magnificent! Best visualization I've seen for such difficult concepts. Many thanks

I am really grateful that I found your channel. I thank you very much for your efforts and I really really hope that you stays interested and motivated in keeping producing such videos.

Really really helpful your videos Amazing work Thank youuu so much for you and your team for such a great work Keep going 👍🏾👊🏾💪🏾

This video is amazingly clear and informative. Thanks a bunch Eugene!!

Holy Cow !! This is Blasphemy ,, back in my days , it took me weeks to imagine how a curl or divergence would look.