In showing how to generalize the notion of the derivative to higher dimensions, at 5:00 Prof.Chakraborty brilliantly animates the same equation for one dimension, and introduces the matrix M, the need for which can be easily 'seen', creating an indelible memory in the mind of the student. This same intuition can be carried to the Hessian.
@MarceloChaves19718 ай бұрын
Very clear and easy to understand. Congratulations!
@jishanzaman34213 жыл бұрын
Sir!! You're just a gem!!!❤️❤️
@saikatroy63423 жыл бұрын
Sir, I would like to request you to make some videos on measure theory, Baire measure, Borel measure etc.
@saikatroy78293 жыл бұрын
So lucid!
@yalcinmahidekucuk73316 ай бұрын
i love this explanatory video very much
@irelandrone3 жыл бұрын
Dear Sir at 15:40, could you please mention what is the guarantee that the lines will be mapped to nice curves? Thank you!
@arnabc3 жыл бұрын
No guarantee. I am using 'nice' examples to clarify the goal we are after. It is much like saying 'continuous functions have graphs that can be drawn without lifting the pen'. Of course, we are assuming bounded variation there. That is why there is no alternative to a rigorous proof. But that is only a dumb tool. Intuition provides the overall plan, ignoring technicalities.
@Japneets19 ай бұрын
Loved your explanation
@arnabc9 ай бұрын
Glad you liked it
@TheBambooooooooo8 ай бұрын
Lovely
@shashankbj3804Ай бұрын
Thank you very much!
@nmxnunezz82144 ай бұрын
Really good
@sashiyendamuri101810 ай бұрын
Nicely explained
@philipperichard168510 ай бұрын
Thank you sir, it is explained very clearly
@jameshopkins354110 ай бұрын
Can You explain the geometric interprttn of JACOBIAN??????