Vector Field Divergence Formula Derivation

[@deinahrsnoidson7961]

Very good presentation. I like this approach more than the one using Taylor series. I did find a few mistakes though: at 7:31 y0 is missing (should be y0+L/2) and at 11:24 the 1 in g1 should be a subscript. Also, at 3:10 where you argue that the vector field on a boundary is the same because the boundary is very small would also imply that the vector field on all of the boundaries would be the same since they are infinitely close to each other, which is not depicted in your figure.

[@pioneeringproofs]

Right, thanks for pointing those out! I pinned this comment so that others can see

[@ds2718]

Very good and useful video, I wanted to know how it's formula derive for a long time I search everywhere but I couldn't find satisfactory answer (derivation). Now you satisfy my question. Thank you very very much for this Great Video. Edited:Make more videos like this they will help other people who want to seek knowledge like this.

[@pioneeringproofs]

Glad it was helpful!

[@pioneeringproofs]

Response to edit: Thanks, I appreciate the support!! I'll do my best to continue to make new videos whenever possible!

[@keyamoni1602]

It is really rare to see such a rigorous proof of a mathematical concept on internet now a days. Please keep providing us videos like this.😊

[@pioneeringproofs]

Thank you!

[@derivoid]

AMAZING!! THANK YOU!!!

[@jiahaozhu7702]

Love you 😘