The Divergence in Spherical Coordinates

[@hungsheets]

Thank you so much noone was explaining this instead everyone else is like just remember it without explaining

[@shashiranjan1116]

Very nice explanation, sir. Thank you so much.

[@Jay-lb2ot]

My calc III class sort of gave a hand wavy explanation of just "Calculate the divergence in cartesion only." And I wasn't very happy with that explanation but I see why they set that arbitrary barrier. that derivation is a bit killer! Thanks for the explanation though. can't wait to revisit this and let it soak in more properly!

[@sheetalhablani7488]

How do we get the sine(lambda) formulas from these?

[@ChaosSower99]

Damn this is gold. Thanks a lot sir!

[@johnreese1344]

Hello,
The formula shown at the end has cosines where it should have sines.

[@mathematical_ocean]

Thanks for bringing up this issue. I have cosines because I used “geographical” coordinates with the equator corresponding to 0 degrees and the North Pole at 90 degrees. This is different than what is typically done in math or most of physics, but consistent with geophysical fluid dynamics.

[@saminasajeed1322]

Thank you, sir. It was very helpful.

[@DouglasNovaes]

Thank you very much, sir!

[@mathematical_ocean]

Hope it was useful. P

[@yashhirani2534]

Great video :) Very helpful

[@mathematical_ocean]

Glad you found it helpful.

[@gurugurumarimo5294]

thanks

[@akshayakshayy847]

Can't you use a mic or speak with a human pitch