Introduction to Tensors
My tensor series is finally here! In this video, I introduce the concept of tensors. I begin by talking about scalars, then vectors, then rank-2 tensors (whose explanation takes up the bulk of the video since these are probably the most difficult to understand out of the three).
I then move on to define tensors (without specifying their transformation properties), after which I conclude the video with a short discussion on rank-3 tensors, which may be represented by 3-D matrices/arrays.
Questions/requests? Let me know in the comments!
Pre-requisites: You basically need to know what vectors, scalars, and matrices are. Nothing much more to it. A 1st-year Physics + Linear Algebra course should be enough.
Lecture Notes: drive.google.com/open?id=1O5G...
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#Tensors #TensorMath #TensorIntro
Пікірлер: 387
If you all liked this video, then make sure to check out the remainder of my playlist on Tensors, because there's more where that came from!
I have a bachelor's degree in Physics but we didn't talk about Tensors much. This was an excellent introduction!
This is the best video about tensors on youtube. The only video that covers the actual definition of a tensor: a tensor in
I cant catch up with speed at which you talk.or the video made to run at higher speed. The content might be good but speed makes up blurred .bcuz before we understand one line it already into something else.
I have no idea what's going on, I just found this video in my recommended section, but I love the black background with the colored writing; it's very pleasing to the eyes.
Anyone else found the handwriting incredibly satisfying?
I believed that one day I will stumble on a youtube video that will not describe a tensor in an abstract manner. Hurray I just did. Thank you.
how do you write so quickly?
Your digitised handwriting is beautiful...this may be a Handwriting Tensor Analysis
Why don't you need any basis vectors for scalars? The real numbers are a one-dimensional vector space over the real numbers, and to span out the real numbers by linear combinations (which in this case would be just scalar times another scalar) of a basis vector, you would still need one.
Which software you using to teach??
You just broke me free from YEARS and years of misconceptions about what a tensor and its rank really are . Thank you.
Finally! A clear and intuitive explanation of tensors. Great job man!
Thank you! You seem to be the only person on the internet who explains what a tensor is from the ground up, and actually gives a concrete example that can be followed and understood by someone who is new to the concept.
It's a good day when Khan releases a video
This is the most geometrically comprehensive explanation about TENSOR that I have seen on KZread or books. Finally I realized why the vector's components on same direction can't be added. Thanks
You just explained what my teacher failed to explain in 3 90 min lectures in 11 minuites. Thank you so f*
Perfect timing! I just hit the point in my self-study of electrodynamics where I needed to understand tensors. Please release this series quickly! :)
Shit this 4 year old content is much better than all the videos I watched on Tensors till now ❤️😍
Probably the best tensor video I 've come across to date. Very elegant and crystal clear explanation of the idea of tensor, especially by bringing up real-life examples of breaking down a rectangular steel beam.