Why are tensors EVERYWHERE? | Tensors for beginners #SoME

A tensor transforms like a tensor. Why does this explanation keep circulating? Tensors as a mathematical object motivates deep appreciation to how physics and mathematics are related, but rarely is that properly explained to beginners.

The video explains the motivation for tensors, as well as an example calculation, and exploring electromagnitism in spacetime.

Music: Mark Tyner - Close To You

[michamiskiewicz]

As a mathematician I always oppose thinking of geometric objects as some numbers with rules of transformations. But the video explains nicely the measurement-oriented point of view of a physicist, so you have my like!

[AbhishekSachans]

One of the best videos that sums up the essence of what tensors really are. I am on my journey to learn them, and this video, I found to be very insightful, especially in terms of connecting some dots of understanding that I have gained from other sources. Really brilliant illustration!

[sphakamisozondi]

The description of covariance and contravariance was explained so beautifully, it's criminal that you aren't a big science YouTube channel.

[JeanFrancoisDesrosiers]

Best concise explanation about tensors I ever came across. I wish I'd know this during my studies, 20 yrs ago.

[apoorvmishra]

Man this is an underrated video it covers the inspiration behind the Invention of tensor notation so well including all the important concepts related to tensor in such a short span of time. Its marvellous. 🎉

[justinstranack]

Please continue making videos. Best explanations I've seen so far for all the topics that always seemed just beyond my grasp.

[glennhoetker]

Super clear and easy to follow. You have a wonderful touch in explaining these phenomena. Thanks so much.

[grizzleknowsbest]

I wouldn't mind watching you working through some of these example equations start to finish. Showing the work.


I like to see how the sausage is made

[ayhamhalalsheh]

Finally, after months of searching I understand this fascinating physical object

[zacwarnest-knowles]

Just found this channel and it’s actually insane can’t beleive you don’t have so many more subscribers

[matrix]

I really like this video
as a physics student i have a problem with understanding, what tensors are.
After this video i feel i know them better, but still don't know what are they.

[StephenGillie]

Celsius and Fahrenheit are 2 buildings next to each other. The Celsius building has 5 floors for every 9 floors in the Fahrenheit building, and it's on a hill as tall as the Fahrenheit building's 32nd floor. They have a shared basement with numerous subterranean floors. You're on the 20th floor of the Celsius building, looking at the Fahrenheit building - which floor are you across from? (the 68th)

[mikesteele]

Really lovely. Thank you. Brilliant to start with the lamppost!

[edwardmacnab]

believe it or not, this was the first clear explanation I have come across, of what a contravariant and covariant tensor is ! Most other explanations just dive straight into partial differential equations .

[viniciomonge]

I loved this definition of Tensor. It is a better intuition

[eriktempelman]

Very clear presentation of a topic that really is not easy.

[ashifam.r]

You are doing a great work..your explanation was awesome..!!

[marcomontanaro]

Very informative, hope your channels grows even larger!

[empamathic]

Great work! Love the cartoon style. I feel like I learned something about Tensors and what they are used for!

[robharwood]

In an ideal world, I would really have liked to see how one actually uses a tensor mathematically to solve some straightforward problem. You gave an inkling of that, but did all the work pre-video and just showed the results, leaving me still unsure of how they are actually used. In contrast, it's pretty common to see matrices explained with concrete examples of using a matrix to do solve some sort of problem.

On the other hand, since this was meant as an entry to SoME, you did a great job in that regard! And I can understand that fitting such an example into this video might have been too much for a broader audience. One thing I did really like was the lamp post example and also the alternative example of frequency, and how different measurements may need to react in opposite ways. Good examples!

I'll check out some of your other videos to see if you have anything else about tensors. Thanks, and cheers!