Hope you all are having a great holiday! Have you seen this version of the introduction and proof of Cauchy's integral theorem before and what did you think of it?
I watched your video about contour integrals couple of months ago, it was before my midterm for Engineering Math II course. I really liked your clear explanations and voice, you sound like a very kind man :) I was sad because that video was uploaded 3 years ago... I wanted to check your channel again tonight and saw these new videos. I'm glad you're back with new content, I'm studying for the final exam of that course and your videos are very helpful! Thanks a lot
First of all, welcome back and best of luck with your final! Let me know if you have any question about the content I present here and I will be sure to try and help you out to the best of my abilites :) Second of all, thank you for the kinds words, I'm back and dedicated to start uploading more regulary and trying to help more people with different areas of mathematics! Also best of luck with all your studies candlelight!
You are absolutely amazing in explaining things, please continue , Would love to learn about Hilbert spaces from you ! Thank you so much for your great work
Thank you for the kind words and I'm happy that my videos can be helpful to people like you, that makes it all worth it! I have plans to return but don't have the time right now, but in the future! :)
You are sooooo patient while explaining... it's almost therapeutical... i don't normally understand the concepts that easily. So thanks a lot! I just have one doubt. If the integral is 0 for all closed loops, then why isn't the integral 0 for all the examples we did in Cauchy's integral formula?
@@gokuvegeta9500 Happy to help out, and just message me here if you have more questions, sometimes I'm faster and sometimes it can take some time, but you will always get an answere eventually :)
Another phenomenal video, and I think it's sad that this only has around 1,200 views (as of May/2021) while so many other, lesser things on TH-cam have so many more...
Hello Ryan, I can see that you consumed a lot of the content here on the channel. I'm happy that you found my content useful and welcome to the channel! Let me know if you have any questions and best of luck with your studies :)
@@TheMathCoach You're a great explainer, so I think you should go for it! (When I was learning complex analysis, your video on conformal mapping helped me to actually understand the topic)
@@euler0148 thanks, that is added to the list and I will start working on it next week so probably done in 1-2 weeks :) Not sure If I'm going to cover the proof tho or just do examples.
i have watched your video which talks about cauchy integral theorem and i liked it so much but i have not understood why the integration along c (closed contour) will be zero if poles outside the contour i hope you would answer me
Hi, not completly sure which part in the video you are referring to. Could you give me timestamp to the corresponding moment in the video and I will try to get back to you :)
dude i think you're from France, anyways, make us a favor, write bigger letters or characters whatever the case may be, please jajja im loosiing my sight, and i will probably need it in the future.
Hope you all are having a great holiday! Have you seen this version of the introduction and proof of Cauchy's integral theorem before and what did you think of it?
This video is wonderous!
@@skylerpretto1221 Thank you for the kind words Skyler!
I watched your video about contour integrals couple of months ago, it was before my midterm for Engineering Math II course. I really liked your clear explanations and voice, you sound like a very kind man :) I was sad because that video was uploaded 3 years ago... I wanted to check your channel again tonight and saw these new videos. I'm glad you're back with new content, I'm studying for the final exam of that course and your videos are very helpful! Thanks a lot
First of all, welcome back and best of luck with your final! Let me know if you have any question about the content I present here and I will be sure to try and help you out to the best of my abilites :) Second of all, thank you for the kinds words, I'm back and dedicated to start uploading more regulary and trying to help more people with different areas of mathematics!
Also best of luck with all your studies candlelight!
You are absolutely amazing in explaining things, please continue , Would love to learn about Hilbert spaces from you ! Thank you so much for your great work
Thank you for the kind words and I'm happy that my videos can be helpful to people like you, that makes it all worth it! I have plans to return but don't have the time right now, but in the future! :)
I put comment here, so that your videos have more views, your explanation is gold!
haha you are too nice, thank you very much southboy!
You explained what seemed like such a complex topic in books into a really easy to follow explaination. Excellent video :)
this is my first time ever commenting on a youtube video. I just wanted to say that I am very grateful for all the contents you post.
I'm really happy that your first comment was here and that you found my content helpful :)
You are sooooo patient while explaining... it's almost therapeutical... i don't normally understand the concepts that easily. So thanks a lot! I just have one doubt. If the integral is 0 for all closed loops, then why isn't the integral 0 for all the examples we did in Cauchy's integral formula?
2:19
Is the "hole" like a singularity where the function is not defined?
Yes, but it dont have to be a singularity, just not defined (which can be because of a singularity).
@@TheMathCoach
Thanks for the quick reply. Your videos are very nice 👍
@@gokuvegeta9500 Happy to help out, and just message me here if you have more questions, sometimes I'm faster and sometimes it can take some time, but you will always get an answere eventually :)
This guy needs more subs
I would like to agree with you dear sir!
Another phenomenal video, and I think it's sad that this only has around 1,200 views (as of May/2021) while so many other, lesser things on TH-cam have so many more...
That is probably about the change with the amount of comments you are leaving on my playlist, the algorith must be pleased right now ;)
Amazing every time, thank you once again!
Hello Ryan, I can see that you consumed a lot of the content here on the channel. I'm happy that you found my content useful and welcome to the channel! Let me know if you have any questions and best of luck with your studies :)
@@TheMathCoach Thanks for the warm welcome, it is great to be here. I look forward to seeing more :)
What app/program do you use for the writing and drawing in these videos?
This would be a great example of basic homotopy theory to show topology students, and maybe a great motivator, too!
That is true and it was quite fun to make. Maybe I should do an topology course.
@@TheMathCoach You're a great explainer, so I think you should go for it! (When I was learning complex analysis, your video on conformal mapping helped me to actually understand the topic)
when will you release a new video? i hope you will release it soon
Trying to stick with weekly uploads for some time. Aming for sunday for the next one:)
It is uploaded now!
great stuff thank you! i want you to explain residue theorem because it is quite difficult especially its proof
@@euler0148 thanks, that is added to the list and I will start working on it next week so probably done in 1-2 weeks :) Not sure If I'm going to cover the proof tho or just do examples.
@@euler0148 The difficult proof is now uploaded :)
i have watched your video which talks about cauchy integral theorem and i liked it so much but i have not understood why the integration along c (closed contour) will be zero if poles outside the contour i hope you would answer me
Hi, not completly sure which part in the video you are referring to. Could you give me timestamp to the corresponding moment in the video and I will try to get back to you :)
all the books
only now i am realizing what is Cauchy's Integral Theorem
Happy to help with some videos!
dude i think you're from France, anyways, make us a favor, write bigger letters or characters whatever the case may be, please jajja im loosiing my sight, and i will probably need it in the future.