Cauchy's Residue Theorem with Examples | Complex Integration | Complex Analysis #16

preview_player
Показать описание
Cauchy's Residue Theorem and examples on how to use it to solve complex integrals when you have isolated singularities in complex analysis.

The video will include concepts as:
► Theorem: Cauchy's Residue Theorem
► Definition: Residue of a function
► How to determine the Residue
► Examples: Determine Integrals with Cauchy's Residue Theorem

LINK TO COMPLEX ANALYSIS PLAYLIST

LINK TO CANVAS

SUPPORT
Consider subscribing, liking, or leaving a comment, if you enjoyed the video or if it helped you understand the subject. It really helps me a lot.

TIMESTAMPS
00:00 - 00:23 Introduction
00:23 - 01:02 Cauchy's Residue Theorem
01:02 - 01:40 Definition of a Residue
01:40 - 02:48 How to find a Residue
02:48 - 05:10 Example 1: cos(z)/z
05:10 - 06:00 Example 2: cos(z)/(z-1)
06:00 - 07:17 Example 3: (1-2z)/z(z-1)
07:17 - 09:24 Example 4: (2z + 1)/z(z-1)^2
09:25 - 10:16 Outro

SOCIAL

HASHTAGS
#TheMathCoach #ComplexAnalysis
Рекомендации по теме
Комментарии
Автор

Good morning guys, is the audio levels fine in this video? The same video with the proofs will release next sunday!

TheMathCoach
Автор

This Complex Analysis videos are all insanely good. Crazy how easy you make everything seem. Keep up the good work!

barsanstefan
Автор

This is by far the best video I've seen when it comes to explaining this.
I struggled with a math problem for 3 hours, watched this the first time, and got the right answer before it was over.
Thank you! You have done well.

DarkMatterSprinkles
Автор

Showing both proofs and examples are great! Thank you.

rachelcourtney
Автор

Wow, , What is this wonderful explanation, and what is this wonderful
Amazing scene 🌷

omargaber
Автор

I am really grateful to you man. I missed classes in MAT215(complex variables and la place transformation) and the lecture notes felt out of place. Now I know exactly what my faculty taught us.
Thank you, mathcoach.

minhazulislam
Автор

this channel may just save my just teach me everything I should have learned over the past month in time for my test in 2 hours and 5 minutes

axelrice
Автор

Thanks a lot for the playlist! I am a math major student who is struggling with the complex analysis, you really save my score!!!

ruiwang
Автор

Thank you! It only took me a while to understand it, by far the best video I've seen.

chenlingoh
Автор

You should start making video again. This channel should have 100x subscribers. Best math-channel out here

sfxyz
Автор

Another incredible video, and I am very much hoping to walk way with some residual knowledge!

PunmasterSTP
Автор

I have been struggling a lot with this topic but your videos are so clear. Thanks for the effort.

sandracordoba
Автор

Would you cover the topics in the textbook of complex analysis by Stein like Poisson summation formula, Weierstrass infinite products, Gamma and zeta function...Those are way more difficult. Definitely need some explanations.

rtydurdu
Автор

Excellent examples - some of the theory is covered in Complex Variables Demystified David McMahon, but not explained as well. The examples filled in some gaps very well.

EamonnO
Автор

Your video such a live saver for me, thanks a lot!!

seiii
Автор

Excellent! I really love and enjoy how you explain

gulnazshalgumbayeva
Автор

Your videos are great and very well explained, thank you! - Also I subbed :) -

Enriquecav
Автор

I have an exam tomorrow and thanks to you I understand this topic. Great explanation sir !

tengen
Автор

The examples helped me a lot. Thank you!

paulmarsh
Автор

Thank you so much for all the videos about topics from complex analysis :)

muhamedmuminovic