That was a very worthwhile and satisfying 40 minutes of my life well spent. The way you keep jumping back and forth between the Dirac, Partials and Index notation is really helping turn some lights on for me! Thank you, Mr. Dotson.
I am watching this now, and am glad I did a course on Linear Algebra last semester that covered eigenvectors and spectral and what not in detail , and that is helping so much in understanding this
Oh man!!! What about us, the highschoolers C'mon man!! Think about us, the little kids who think we can change the laws of fucking thermodynamics... *I'm still gonna watch it, like it...*
nice bro, its very useful, I think th professors over NMSU are very good , hence the byproduct like students like you are making very exciting videos, keep it up bro.
I know this is a late comments, but I think it would have been nice If you had shown solving one of the Eigenvalues by reducing the matrix to it's echelon form. I think it's good to show that these things can be done in different ways.
Been out of college for a couple years and trying to refresh on math basics and finding these videos really helpful. Very concise with just the right amount of rigor for reference. You may have already answered this somewhere else but could you please provide a list of what you think are the most helpful problems to work through from each chapter of Neuenschwander? Thank you so much for doing all this work
I m a 10 th grade student physics is my favorite and watching ur vids are really enjoyable since its actually a Bit interesting unlike easy for babies physics in school ❤️🙃
Me: can I has tensor calc Andrew: for understanding? Me: yeeeeeeeeeees Me: actually double speeds like a boss Chipmunk time! ps tell the other high schoolers to stop complaining and just git gud lul
Honestly, I've been doing some research and I'm kinda pissed. I know a bit quantum mechanics so my question is are operators in quantum mechanics the same as tensors.
Aidan Sgarlato No. Some operators are not tensors, and some tensors are not quantum mechanical operators. The mathematics of tensor calculus are almost always applied to classical theories of physics, not quantum theories. By applying a quantum formalism to tensor calculus, you can talk meaningfully talk about quantum tensors, which generalize many of the operators, but not all are generalized to be tensors.
That was a very worthwhile and satisfying 40 minutes of my life well spent. The way you keep jumping back and forth between the Dirac, Partials and Index notation is really helping turn some lights on for me! Thank you, Mr. Dotson.
Thanks a lot!
I am watching this now, and am glad I did a course on Linear Algebra last semester that covered eigenvectors and spectral and what not in detail , and that is helping so much in understanding this
40 mins video. Jeez Andrew what's the secret of your energy.
A wholeeee lotta coffefe
@@AndrewDotsonvideos Don't you mean covfefe?
@@tomkerruish2982 Thats not how you spell cofey
Forget the transformation of tensors, I'm watching Andrew transform throughout the playlist.
Oh man!!!
What about us, the highschoolers
C'mon man!!
Think about us, the little kids who think we can change the laws of fucking thermodynamics...
*I'm still gonna watch it, like it...*
Great job Andrew, it shows exactly the hard work of a physics major! Keep going
Keeping your quality content apart , man you have some nice t-shirts ✨!
nice bro, its very useful, I think th professors over NMSU are very good , hence the byproduct like students like you are making very exciting videos, keep it up bro.
Every time Andrew wrote 1/sqrt(2) a small piece of me died
2^(-1/2) >> 1/sqrt(2) >> sqrt(1/2) >> sqrt(2)/2
@@angelmendez-rivera351 you forgot 1/(1/2)^(-1/2)
I know this is a late comments, but I think it would have been nice If you had shown solving one of the Eigenvalues by reducing the matrix to it's echelon form. I think it's good to show that these things can be done in different ways.
Isn't this just linear algebra?
I did this in my 2nd year of university in a course called "Rigid solid mechanics"
nice video thanks
It is a generalization of concepts of linear algebra. Tensor calculus is ultimately just the calculus of multilinear algebra.
Been out of college for a couple years and trying to refresh on math basics and finding these videos really helpful. Very concise with just the right amount of rigor for reference. You may have already answered this somewhere else but could you please provide a list of what you think are the most helpful problems to work through from each chapter of Neuenschwander? Thank you so much for doing all this work
Great talk. Thanks.
...it getting better and better any time.....great !!!!
g=10 right?
what else would it be
Andrew Dotson ikr. These damn physicists thinking they can assign units a non-integer value.
@@AndrewDotsonvideos pi^2 but I guess that also is 10...
really thanks for your hard efforts
I m a 10 th grade student physics is my favorite and watching ur vids are really enjoyable since its actually a Bit interesting unlike easy for babies physics in school ❤️🙃
Shubhranshu Srivastava nice ( if it true ) 😂
Listen I'm not that great at math, but I like the satisfying look of equations and numbers...but I have NO idea what's going on
I'm trying to understand but at the same time I'm failing miserably
I wanted to remember a clever comment idea. Unfortunately, I am right adjoint to the sheafification functor
hats off to you sir for showing all the basic calculations🙏🙏
I know Im getting better at this stuff because this was relaxing to watch for me
Yay! Thanks for the great vid!
Great lectures!
Very clear bro thanks 😍
Won't rho3 be +1 or -1 instead of just +1? At around 22:00
I'm wondering the same thing? Had me second guessing my vector math! Shouldn't rho 3 be i?
Great vid 👌
Me: can I has tensor calc
Andrew: for understanding?
Me: yeeeeeeeeeees
Me: actually double speeds like a boss
Chipmunk time!
ps tell the other high schoolers to stop complaining and just git gud lul
5:11 why do you not write down Rho again?
Honestly, I've been doing some research and I'm kinda pissed. I know a bit quantum mechanics so my question is are operators in quantum mechanics the same as tensors.
Aidan Sgarlato No. Some operators are not tensors, and some tensors are not quantum mechanical operators.
The mathematics of tensor calculus are almost always applied to classical theories of physics, not quantum theories. By applying a quantum formalism to tensor calculus, you can talk meaningfully talk about quantum tensors, which generalize many of the operators, but not all are generalized to be tensors.
Ha! Third, I mean, approximately pi'th comment!
Is it guaranteed for the inertia tensor that the eigenvectors are perpendicular?
Yes. Eigenvectors are always orthogonal to each other
@@liamgallagher7375 thanks
You lost me at I acting on row😂
I finally got the time to increase the wievs on the video. :D
Just give an index to alpha, maybe in parentheses in order not to confuse summation indexes.
dANG it I'm late
Zero. Is there any real value man. Is it real?
First again :)