great video series, understandable explanations ! :)

You explain everything really well, even better than my teacher. 😁 Thanks 🙏

I would use fourier transform

ive been trying for a few weeks to blindly get a line segment rotating at one endpoint, but i just couldn't figure it out (i knew it had to do with y=tan(a) but i didn't know what bounds i should insert) then i figured, maybe i just look up how to make a clock! and there we have it (thanks!)

Wow😮

Maybe I didn't understand it very well, why the Psi 1 and Psi 2 don't they cancel here? In the residue theorem proof something like that used to be cancelled

This is really helpful. Thanks

You're seriously underrated, nice explanation

Nice

I never thought the job could be done this easier 🎉

If i want to reflect relative to what a is, i.e. if y = x then a = 1 and then we have ((1, 0), (0, -1)), does this mean ((1,0),(0,-a)), so i.e. a = 2 means ((1,0), (0, -2)) ?

This is so wholesome

I think I saw you outside melbourne central. Apparently you're my friends calc 1 tutor at unimelb lmaoo.

Hi, loving the videos so far! I also have a question: at 15:08 you say to simply assume the existence of a C^k atlast, but how does that work in practice? Surely you can't just assume one to exist out of the blue.

you saved me thank you

Great video

Hello @qncubed3 , I wanted to know if you have any bibliographical reference on solving the Basel problem using that method

I missed you..... Just tell me where are you??!!

For a simpler method, substitute u=1/x , move around some things and replace u with x and you'll see that the integral is equal to its negative

Can't you say that 1/abs(z^4+1) <1/abs(z^4) ? Simply because the right fraction has a smaller denominator, without going into triangle inequality stuff

The most helpful video on the topic in the entire KZfaq

Amazing!!! Could you please continue posting more videos on Manifolds? 🙏🙏🙏

Great work!Ad maiora semper...

funny, but useless.

Can you still show the analyse program that you have in your CAS link in you description or comments section

what a loser

Seems the link is not working😅

Interesting the result looks like the reflection formula for the gamma function but with 1/n

Bro you are the goat

cOnSeRvAtIvE vEcToR fIElD

thank you, I ask you one more series expansion of tan(z) 31:17 I want to learn principle of this series of tan(z).

Thanks a lot for great videos ❤😊. Can you please give examples of when to use this in real life or is it only relevant in general relativity?

good video

Great!,thank you for your lecture, would you explain series of tan(z)(31:17)? I don't know result of this series.

Vraiment c est super Je sais pas comment je peux remercier

5:34 It's easier not to reduse (s+i) or (s-i) because (i+i)^4 or (-i-i)^4 is 16, so thier denominator becomes rational.

Thanks!

Great explanation, thanks!

The Jacob Collier of Physics

After two years I found this video and it makes sense!! Thank you <3

Great explanation. Nice teaser to conformal technique.

This channel rocks!! Greetings from Croatia.

Much easier with double integration I = \int_0^\infty \int_a^b sin(tx)/x dt dx = [using Foubini] = \int_a^b \int_0^\infty sin(tx) / x dx dt = \int_a^b pi/2 dt = pi/2 * (b - a)

Is it possible to prové it with only gamma function ? Because our Professor didnt teach us the Beta function yet

0 is not a pole of logarithm

Hi Could you please do a video about integral from 0 to infty of ln(x)/((x+1)*x^{3/4}). I was trying to solve it using complex integration but failed to find proper contour:(

My final today had this exact integral. I did kind of figure out that we need to take a Gaussian integral to come to the result but used some QUESTIONABLE mathematics. Wish I'd watched this vid earlier. Anyways this channel is absolutely amazing! Please keep it up.