These lectures are great. At some point in the past I got my head around the covariant derivative, connections, and Christoffel symbols. But now and again I'd run across the other approaches she's outlining, and I'd be lost - I didn't know which way was up in those arenas. So having this treatment that goes through all three of these approaches and shows how they're connected is fantastic - next time I run across the exterior derivative and Lie derivative approaches I'll at least "have a chance." :-)
The video person here isn't doing the best job - the "pulled back" shots that show the entire front of the room are USELESS - nothing on the board can be read. Worse, though, they're frequently zooming in in a way that cuts off the right side of what the professor is writing on the board, which makes it very hard to follow her reasoning. Eventually they'll show us a good view of the entire "panel" she's just written, but it would be much better to see it while she's writing it. As it is, I have to try to keep her words in mind well enough to then think through it all when they finally do show us the completed panel. At 23:02, for instance, she's just written the result for the Lie derivative on the rightmost panel of one of the boards, and she's discussing it, but they haven't SHOWN IT TO US YET. Ok, just to highlight something positive - at time 41:31 we have the perfect camera shot. This is what should be done all the way through, whenever possible. It shows the full panel she's working on, as well as the full panel she just finished. That's not always possible when she starts a new board, but it should be the goal whenever it's feasible.
This is lecture 3 and it is excellent. Where are lectures 1 and 2? BTW, I totally agree with Kiplngram's camera comments. The views were totally frustrating at times.
this math is like 8 years more advanced than fourier tranforms....90% of these students have already forgotten what a fourier is!!😳😳😳🎉🎉😂🎉😂, these are 4 dimensions or n-array dimensional spaces in relativistic gravitaional problems.....if your really interested "eigenchris" on youtube
Ruth Gregory rocks the Lie derivative. Arindam Kumar Chatterjee has the goods. Best channel ever.
These lectures are great. At some point in the past I got my head around the covariant derivative, connections, and Christoffel symbols. But now and again I'd run across the other approaches she's outlining, and I'd be lost - I didn't know which way was up in those arenas. So having this treatment that goes through all three of these approaches and shows how they're connected is fantastic - next time I run across the exterior derivative and Lie derivative approaches I'll at least "have a chance." :-)
The video person here isn't doing the best job - the "pulled back" shots that show the entire front of the room are USELESS - nothing on the board can be read. Worse, though, they're frequently zooming in in a way that cuts off the right side of what the professor is writing on the board, which makes it very hard to follow her reasoning. Eventually they'll show us a good view of the entire "panel" she's just written, but it would be much better to see it while she's writing it. As it is, I have to try to keep her words in mind well enough to then think through it all when they finally do show us the completed panel.
At 23:02, for instance, she's just written the result for the Lie derivative on the rightmost panel of one of the boards, and she's discussing it, but they haven't SHOWN IT TO US YET.
Ok, just to highlight something positive - at time 41:31 we have the perfect camera shot. This is what should be done all the way through, whenever possible. It shows the full panel she's working on, as well as the full panel she just finished. That's not always possible when she starts a new board, but it should be the goal whenever it's feasible.
Great lecture but the cameraman cut off the definition of the Lie derivative. That was the most important part of the video and it got ruined.
This is lecture 3 and it is excellent. Where are lectures 1 and 2? BTW, I totally agree with Kiplngram's camera comments. The views were totally frustrating at times.
Does this course have a playlist with all the video lectures somewhere? And in which institution was it given?
What does the Fourier transform of a group mean?
this math is like 8 years more advanced than fourier tranforms....90% of these students have already forgotten what a fourier is!!😳😳😳🎉🎉😂🎉😂, these are 4 dimensions or n-array dimensional spaces in relativistic gravitaional problems.....if your really interested "eigenchris" on youtube