Cauchy's Residue Theorem with Proof | Complex Analysis #17

[@TheMathCoach]

Hello all, wanted to test out the Premiere function this time, so here we are. I think one video every two weeks is what I will be able to manage with the time it takes to make each one and my current schedule! We are starting to see the end of the complex analysis playlist now, but I still have some more videos to go. Have a great day!

[@Jihad_Bankai]

Could u plz proof the Cauchy’s integral theorem. Thanks a lot 😊

[@euler0148]

i dont know how i can thank you .i enjoyed and learned at the same time .i have learned another proof before but your proof is so good and not traditional.thank you from my heart

[@TheMathCoach]

I'm happy to hear that and that I could delivere on the promise I made to you earlier this year about making the video. Hope I could do the proof justice and try to bring it out in a new way!

[@nikned27th74]

I was waiting for this so much !

[@TheMathCoach]

I'm really happy to hear that, enjoy! I think it turned out pretty well! :)

[@nishalrai3610]

Hello your videos are awesome. But I had one quick question, in 3:07 you split the Laurent series and if you had not split and did the whole procedure your n would have started form n=1 and even for that value the integral vanishes. It seems like if you take the whole principle part and did the whole thing the integral would be zero. I believe I am missing something, please let me know. Thank you

[@qopqpqop763]

here is my subscribe.Thanks for your video,it's help a lot!

[@TheMathCoach]

Happy to have you unboard :)

[@omargaber3122]

Why we can't use this theory for solving zeta rieman conjecture??

[@TheMathCoach]

I would have guessed someone would have already tried it, but it is nothing I have researched myself and we will not know until someone solves it :)

[@xyzct]

I believe this is conflating two separate problems. The residue theorem is for calculating the integral value at poles. The RZ problem has to do with _proving_ that the real part of _every_ nontrivial zero of the RZ function is 1/2.

[@TheMathCoach]

@@xyzct I agree with you, thank you :)

[@1mrolla15]

Hello! this videos had been really helpfull these fays. Do you have any material about improper integration? or any channel recomendation or some books? i hace test in a couple of days and the text books at my university are really useless. Thanks!

[@TheMathCoach]

Hello, I'm going to cover that next but it will not be out in the next couple of days. I suggest you check out "Michael Barrus" on youtube since I think he covers it really well :) Best of luck on your exam!

[@1mrolla15]

@@TheMathCoach Thanks so much for responding! I will take a look at his videos then. Also, Can you make a recomendation of a book? I am from Argentina, And the ones that my university recommended to me are not "student friendly". Love your videos!!!

[@TheMathCoach]

@@1mrolla15 I have a book called "Fundamentals of Complex Analysis Engineering, Science and Mathematics" by Edward B. Saff and Arthur David Snider and that has worked fine for me. I'm not sponsored, I just think it is a solid book probably not the best on the market but not bad at all.

[@tianyilu9574]

great videos, really helpful!

[@TheMathCoach]

Glad you like them!

[@omargaber3122]

Thank you very much ,it is amazing explanation ,please add translation .

[@TheMathCoach]

Happy to help! I can't add translation to a video but I can probably add subtitles to english myself or is it another language you would like it to be subtitled to?

[@omargaber3122]

@@TheMathCoach You can add automatic translation to English, and then I will translate into other languages ​​from the automatic translation feature at the bottom of the video when watching the video through Google Chrome browser. Thank you

[@TheMathCoach]

@@omargaber3122 the english subs are now added, can you try and see if it works for you?

[@omargaber3122]

@@TheMathCoach Translation work in all your vedios ,except this 😮

[@omargaber3122]

@@TheMathCoach every thing is ok now, translation work , thank you very much🌷

[@andrcarb]

really good content!

[@TheMathCoach]

Glad you enjoyed it! I'm trying my best to make quality content and happy that some people like it!

[@AA-xb4mx]

woah...so THAT'S why they're called residues

[@TheMathCoach]

Exactly, kind of mindblowing!