yo i love all your vids, been watching them nearly daily now forever. please make more educational content like this! i would love to see a complex or harmonic analysis series
Video was pretty good. To get a clear intuition on what exactly an integral in complex analysis mean I recommend the book "Visual complex analysis" by Tristan Needham combined with vector calculus chapter in "Feynman lectures in physics".
Hi there! I just wanted to say that your video on complex analysis is fantastic. I'm starting to learn it again on my own, and your video has been a tremendous help. Great work, and thank you so much!
Didn't I watch this on your other site, focusing on Complex Analysis. I keep going crazy. Not that watching it again is a bad thing as doing so builds strong bones and teeth.
I've made videos on branch cuts for all the important functions. Check out the complex analysis lectures playlist. The discussion of branch cuts starts with the the complex exponential from Euler's formula.
thanks for the video! i didn't understand your proof (since i am a beginner in advanced calculus and analysis)...i don't know these sums are and most importantly - WHY we have this inequality....intuitively, for me, it doesn't make sense. Could you guys (or the admin) please enlighten me on this? Thanks so much, in advance :)
For the inequality, imagine summing the values 1, -2, 3. If you take the absolute value of each element, then do the summation, it has to be greater than the absolute value of the overall sum - because the absolute value of -2 would be +2. The inequality in general is less than or equals (or >= depending on which way round you write it) because the number of negative items in your set of values might be zero (so the sums would be equal).
As for the Riemann sums - that’s really just the definition of integration, written in summation notation. Dividing the area under the curve into rectangles of width delta x, then taking the limit as the number of rectangles approaches infinity (and delta x therefore approaching 0).
I have a question about double intégrals: when you have a double intégral from 0 to Infinity, and the integrand is f(x,y) dx dy. My question is when can you inverse dx and dy (like what are the conditions on f ?)
common Maths505 W
watching this as a review for finals and it feels really good to be able to be like “ah i know that already!!” thank you for the wonderful overview!
yo i love all your vids, been watching them nearly daily now forever. please make more educational content like this! i would love to see a complex or harmonic analysis series
Video was pretty good. To get a clear intuition on what exactly an integral in complex analysis mean I recommend the book "Visual complex analysis" by Tristan Needham combined with vector calculus chapter in "Feynman lectures in physics".
Hi there! I just wanted to say that your video on complex analysis is fantastic. I'm starting to learn it again on my own, and your video has been a tremendous help. Great work, and thank you so much!
Thank you so much for explaining so well and easily
Didn't I watch this on your other site, focusing on Complex Analysis. I keep going crazy. Not that watching it again is a bad thing as doing so builds strong bones and teeth.
Although my math is bad,I still watch most of your videos idk I probably enjoy watching someone solving hard problems
Thanks bro
That's a very nice introduction! Can you cover the branch cut next time? I think I have never really understood it.
I've made videos on branch cuts for all the important functions. Check out the complex analysis lectures playlist. The discussion of branch cuts starts with the the complex exponential from Euler's formula.
does parametrasiation mater?
No it doesn't and my spellings are horibal
thanks for the video!
i didn't understand your proof (since i am a beginner in advanced calculus and analysis)...i don't know these sums are and most importantly - WHY we have this inequality....intuitively, for me, it doesn't make sense. Could you guys (or the admin) please enlighten me on this? Thanks so much, in advance :)
For the inequality, imagine summing the values 1, -2, 3. If you take the absolute value of each element, then do the summation, it has to be greater than the absolute value of the overall sum - because the absolute value of -2 would be +2.
The inequality in general is less than or equals (or >= depending on which way round you write it) because the number of negative items in your set of values might be zero (so the sums would be equal).
As for the Riemann sums - that’s really just the definition of integration, written in summation notation. Dividing the area under the curve into rectangles of width delta x, then taking the limit as the number of rectangles approaches infinity (and delta x therefore approaching 0).
Did you use shakarchi's complex analysis 🤔
Who?
I use lang, dettman and gamelin for complex analysis
I have a question about double intégrals: when you have a double intégral from 0 to Infinity, and the integrand is f(x,y) dx dy. My question is when can you inverse dx and dy (like what are the conditions on f ?)
Continuity of the function.
@@maths_505 there isn't any condition on the convergence of the integral?
@tifn4g190 isn't that plainly obvious????? Convergence is always key.
Why did you upload this here and not on the second channel? (Just out of curiosity)
Experimental purposes
Ok but 1/z dz integral is not ln(z) here😢
could you do a line integral next? i see them for one formula in my physics class but they were not explained at all
hi thanks for this... by the way are you a bachelor in mathematics or physics?
Majored in math Nd took lots of physics courses.
DOES PARAMETERIZATION MATTER
NO IT DOES NOT
My spellings are pretty horibal
pretty cool
:'0 WOW
OK Cool
asnwer= dz isit hmm