The Core of Differential Geometry

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[willy]

i don't know what people are talking ab when they complain about not bieng able to follow. this is amazing. they help create a solid intuition. These are good quality videos, don't doubt it

[furo.v]

Thank you for making this listenable by not having a vocal fry (like most English speaking women do). Amazing!

[basschot]

Finally I understand differential geometry..What a great explanation

[geraltofrivia]

Thank you so much for all you do. The quality of your work, the clarity of your explanations, the pdf etc... Everything is great. Your Youtube channel is one of my all-time favorite. Thank you again.

[stefan-danielwagner]

I absolutely love what you guys do and can't wait to see you grow more, been subscribed since the Riemann-Stieltjes integral video, will absolutely be here for every video!

[andrewgarland]

Fabulous video! This is so helpful and clear. For those of us trying to study more advanced physics and mathematics on our own, this sort of intuitive explanation is invaluable and almost impossible to get from most textbooks. Even if I never go on a proper study of GR (I definitely will), this fills in so many gaps for me. Thank you. You're both amazing for sharing your knowledge.

[dean]

6:02 Mathematician: Thy Notations make me go bananas
Physicist: Thy pure math Jargon makes me feel like a fish out of water!
Mathematician: You extensively try to be i.

[自由闊達を志す者]

This is *actually* good. Honestly I didn't expect to come out of this video having had so many ideas clarified

Thank you so much! :)

[drybowser]

What a cool video! I’m going to go straight to the manifold video now.

[aniksamiurrahman]

Awesom video. At least quality wise you two are doing everything right to make it the top YT math channel.

[ifrazali]

Wow
You guys have grown a lot since I last clicked on your videos.
Congratulations.
Loved this video btw.

[johnserge]

From all this I get that : 1. Disney was right to round down the number of Dalmatians to 101 so as to avoid a half imaginary item. 2. What you are discribing is where St. Claus most probably lives. 3. You are likely to be undercover CIA agents, so that's why I liked and subscribed. Thank you.

[YousofGhalenoei]

A video about proximal operator (algorithm) would be great. I've searched many many times, there's no even a single useful visuallized video 😢😢

[positivenozy]

beat is dope and i'm learning this subject!

[Nondles]

This has helped me quite a bit. You guys should do a video on Lie derivatives and Lie brackets!

[anoopsrana]

Brings back 1st year memories. Now after a Masters this seems very normal. Good video for beginners.

[luizbotelho]

Note that you can always use (in Principle!) the Nash Extrinsic Theorem to substitute Intrinsically defined (reasonable) Manifolds by The extrinsic Rn for a sufficiently higher n since any "smooth" manifold is always embedded in a sufficiently higher dimensional euclidean space,

[zubairkhan-enze]

Great job
Very clear and coherent explanation of the subject

[harshavardhan]

Amazing explainer as always. But, I have a very small complaint, don't switch too often between each other sometimes it's difficult to follow.

[jesussanchezherrero]

Hey, thanks for such an informative video. As an engineer in Quantum Technology, I was wondering if there is any immediate application of Differential Geometry to Control Theory, Quantum Mechanics or related fields in Engineering.