Tensor Calculus 0: Introduction

Re-upload after I caught a small mistake soon after uploading.

New video series. New opportunities for me to make tons of typos and for everyone to point them out.

[ozzymandius]

You are a pedagogic genius! The Tensor Algebra series was what it took to get me to understand what tensors are, before seeing how they change in space.

[marksilliman]

It's refreshing and greatly appreciated to have math/physics lecture series start with "why"! Very well done.

[alapandas]

Your technique is awesome. You cover everything.
No video is as good as your Tensor Algebra series. That solves all my doubts. Thank you

[mmmmmm]

This ought to be the best Video series for many years. Thank you so much!!!

[navjotsingh]

You are awesome, literally you are saving out time by uploading these video's and helping us understand. I don't know how I can ever repay you, but once I'm working after uni I will donate to you. Thank you.

[dgriffon]

Just finished watching this incredible series of videos and loved it! (the companion series "Tensors for Beginners" on this channel is equally fantastic).

Looking to dive into the fascinating world of tensors? This is the perfect starting point – you won't be disappointed!

[ozzyfromspace]

Your videos are a hail Mary for YouTube. Thank you so much for your dedication, +eigenchris, I don't know where I'd be without your last series on Tensor Algebra. Looking forward to tensor calculus! :) Best wishes to you from Michigan.
-Float.

[milesdavidsmith]

Thank you for this series. I am almost finished with your tensor algebra videos, and I'm very excited to start applying these concepts to electromagnetism and relativity. These videos are my favorite TV show at the moment.

[quantumtacos]

Absolutely perfect that you've covered the algebra separately! I get the feeling that nobody else does that and I agree that's dumb as hell. Thanks so much!

[DrSpooglemon]

I love the pace of this video. I often have to up the playback speed on educational videos because my mind begins to wander when people speak too slowly. This was right on the money and I even had to double check that I hadn't left the playback speed at 1.25 from earlier.

[kresobetaorionis]

Now I am starting with this series. The first vid sounds like a preparation for a battle in war. :) I am excited how it will develop. Just a small information: Among the linear maps only endomorphisms or those who look like T: Vx ... xV --> Vx ... xV can be seen as tensors where V is a vector space. The amount of V in the definition space can very from that in the value space.

[dans]

This is awesome, I am learning about the Cauchy stress tensor in continuum mechanics right now and this really helped explain what’s going on. Might go down a tensor rabbit hole now.

[curtpiazza]

Wow...this looks intriguing! You explain about the prerequisites so

[elliott]

5:22 is such a good example of metric tensor field usage. Thank you.

[nikolasgrafvonstillfried-r]

no lecture comes close to your series, thank you ❤️

[justanotherguy]

Thank you so much. You are very thorough and you explain things very well. I'm subscribing.

[ntesla]

Well I'll be damned... Overloaded operators all over this formalism. So you have to grok the context of the operator in order to parse it's function? Multivariable Calc gave me fits for awhile but I mastered it, thinking "Aha! Now I'm ready for Tensors and GR formalism." but I was wrong. I've spent several years off and on gibbering and drooling with Olde German Gothic scripts that had me convinced I'd take the dirt nap before I inculcated these methods. You sir are a natural born teacher and I commend you and thank you from the bottom of my grubby little soul for your effort in these video lectures. They're golden!

[hosseinjahedazad]

Brilliant elegant descriptions about beautiful secrets of mind!!!

[johnkingjohn]

Thank you so much. I've been trying to understand the use of tensors in general relativity for about 4 years now, and you have finally given the information I needed to understand the basics.

[pulakdas]

Hey, l am pulak. Your tensor video series were super helpful. Hope this series will be more beautiful! !