Video Lectures for Upper-Level Mathematics

[Sankaku]

Modern Methods in Theoretical Physics
Real Manifolds, Complex Manifolds, Kaehler Manifolds, Calabi-Yau Manifolds, Homology, Cohomology, Chern-Simons Theory, Geometry of Riemann Surfaces, Elliptic Functions...

Interesting. I just watched the first one, building up to the basics of differential forms. He is a good lecturer, but don't use this for your first exposure to the subject! It would make a nice review. Those watching should be comfortable with index notation for tensors and probably have seen exeterior products before in another context.

 

[sponsoredwalk]

An Introduction to Riemann Surfaces and Algebraic Curves

So far just Riemann surfaces are up, though as usual it already looks like the best thing on the internet as regards this topic!

 

[Tenshou]

Can anyone help me out with some Graph Theory?

 

[aLearner]

depends on the book you're using but just search it out on google. MIT also has open courseware on it.

 

[sponsoredwalk]

Can anyone help me out with some Graph Theory?

Graph Theory

 

[WannabeNewton]

The GR lectures following Wald are very nice but they only seem to cover the first half of his text, more or less. Does anyone know of lectures that cover material following more or less the second half of his text (primarily causality, mass and angular momentum of space-times, asymptotic flatness, and general stationary black holes)?

On an unrelated note, does anyone know of any series of theoretical PDE lectures?

EDIT: And am I the only one who's bothered by the fact that the GR course following Wald (linked above by sponsoredwalk) only has 3 assigned problem sets, all of which contain only easy problems?

 

[sponsoredwalk]

https://itunes.apple.com/us/itunes-u/partial-differential-equations/id461769779 is the best theoretical PDE's course I've come across, click on the blue "i" to get the full title then find the actual lectures here or here (haven't checked which one but shouldn't be hard to figure it out). The best way to deal with ICTP lectures is to download them then use irfanview to view the pictures because you can lock the zoom & position for the pictures to get a whole half-screen video, half-screen blackboard then play them at x2 speed in vlc player

As for GR, the most advanced ones are probably in the perimeter links - every year is different so check them all.

If you find anything better post it back here!

 

[WannabeNewton]

Jesus you're fast! Thank you very much, I'll check it all out. The Perimeter Institute GR lectures seem to be noticeably bent towards setting up a foundation for quantum gravity (based on the emphasis on the Vierbein formalism, scalar-tensor theories of gravity, and variational principles), which is really nice. I wish I could find GR lectures on mathematical general relativity though

 

[sponsoredwalk]

Haha: Causality is mentioned among other things in these lectures, the second lecture in here discusses asymptotics & angular momentum (though might be research level stuff). There are also these about which this is only information I can find.

 

[WannabeNewton]

Wow. You're awesome thank you so much; I owe you one! One of those talks is given by Wald himself so that's really awesome. It seems like the lecture pdfs associated with Wald are on the issue of self-forces, which is actually why I wanted theoretical PDE lectures in the first place. Thanks again.

 

[Tenshou]

Graph Theory

Thank you so much! I needed this!

 

[FreeThinking]

Just wanted to say that the video series on differential forms by David Metzler is particularly good if, like me, you've had trouble transitioning from old-style vector & tensor calculus. After years of struggling to "think forms", his videos finally gave me some insight into how they relate to what I already learned decades ago. It's located at: http://www.youtube.com/playlist?list=PLB8F2D70E034E9C29&feature=plcp .

 

[EENGINEBOI]

hello, I'm a new user to this chatforum so am learning from you.

 

[sponsoredwalk]

Anybody download any of the links to these videos complementing Jackson?

http://atomlaser.anu.edu.au/honours_em_downloads.html

Or any way at all of getting them? I'd really appreciate some contact!

 

[Sankaku]

Anybody download any of the links to these videos complementing Jackson?

http://atomlaser.anu.edu.au/honours_em_downloads.html

Or any way at all of getting them? I'd really appreciate some contact!

Try emailing them?

 

[sponsoredwalk]

Yeah, 3 times, no joy unfortunately... If people are interested in video lectures for Jackson then please fire off e-mails, this thread can affect the video lecture culture of the internet

 

[sponsoredwalk]

Bjorken & Drell relativistic quantum mechanics video lectures

http://www.youtube.com/playlist?list=PLuiPz6iU5SQ9m3X6viStQiQ3PmtIW0Pak

(This book is the upper-level mathematics of qft hence I think this link deserves to be here)

 

[sponsoredwalk]

http://asnowden.com/679/lecture-1/

Riemann Roch is in lecture 2!

 

[homer]

Anybody download any of the links to these videos complementing Jackson?

http://atomlaser.anu.edu.au/honours_em_downloads.html

Or any way at all of getting them? I'd really appreciate some contact!

I have the videos from both of those courses based on Jackson. I'll email and see if I can legally upload them to youtube. But does youtube allow people to post 50+ minute videos?

 

[homer]

Good news. I emailed a professor there and he told me while I can't upload the old videos, he has new ones up now!

http://honourselectromag.anu.edu.au/

 

[sponsoredwalk]

You are my hero!

 

[homer]

You are my hero!

Not even close to being ready for that class yet. I'm still studying Purcell, though learning a bit of the Lagrangian formulation out of Goldstein too. Speaking of Goldstein, have you seen the course from NTNU?

TFY 4345 - Classical Mechanics
https://www.youtube.com/course?list=PLUHTGp7T4Zn_FU64InC0C8ZsejaxMtO3s

I figure to be ready for the Jackson E&M courses I will need to study

1. Purcell (in progress - about halfway through MIT OCW's 8.022)
2. Griffiths
3. Some SR (in progress - Not too far yet in MIT OCW's 8.033 - On Assignment 2/9)
4. Upper division classical mechanics (in progress - On assignment 3/13 of TFY 4345)

 

[homer]

MIT's 8.05 (Quantum Mechanics II) is being offered on edx in February:

https://www.edx.org/course/mitx/mitx-8-05x-mastering-quantum-mechanics-2216

They also have a course on Effective Field Theory this September:
https://www.edx.org/course/mitx/mitx-8-eftx-effective-field-theory-2306

Here are the EFT lectures if you want them now:
http://ocw.mit.edu/courses/physics/8-851-effective-field-theory-spring-2013/

Sorry to put more physics in the math thread, but I can't create threads in the physics subforum and the video course threads are closed.

 

[homer]

MIT OCW now has full video courses for 8.04 and 8.05 Quantum Physics I and II.

http://ocw.mit.edu/courses/physics/8-04-quantum-physics-i-spring-2013/
http://ocw.mit.edu/courses/physics/8-05-quantum-physics-ii-fall-2013/

 

[hideelo]

I don't know if anyone posted this before, they cover abstract algebra, lie algebra, a series of lecture by John Milnor on differential topology (and not so math related, but algebraic quantum filed theory)

http://www.youtube.com/user/itssoblatant

 

[drake]

Does anyone knows any number theory video lectures? (Except the ones in this thread)

 

[Alicelewis11]

My particular list of things to get( (right now) would be for good quality features on Galois Theory, Category Theory, Topology and upper-level Complex Analysis. I am more intrigued by immaculate math yet in the event that individuals need to post connected math courses, I am certain there would be loads of enthusiasm here on PF. And additionally connects, any remarks on nature of guideline and taping would be increased in value.

 

[homer]

My particular list of things to get( (right now) would be for good quality features on Galois Theory, Category Theory, Topology and upper-level Complex Analysis. I am more intrigued by immaculate math yet in the event that individuals need to post connected math courses, I am certain there would be loads of enthusiasm here on PF. And additionally connects, any remarks on nature of guideline and taping would be increased in value.

If you can speak and read French, there is a Galois Theory course on coursera starting in September from Ecole Normal Superiere, the school Galois went to.

http://www.coursera.org/course/introgalois

 

[drake]

I can't speak or read French but I would like to learn Galois Theory. What should I do to follow the course easily?

 

[Sankaku]

Lie Groups
http://www.staff.science.uu.nl/~ban00101/lie2014/lie2014.html
http://webmovies.science.uu.nl/WISM414/

Instructor: Erik P. van den Ban
Utrecht University
http://www.staff.science.uu.nl/~ban00101/