16. Cauchy's Theorem and Cauchy's Integral Formula | Problem#1 | Complete Concept

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Topics covered under playlist of Complex Variables: Derivatives, Cauchy-Riemann equations, Analytic Functions, Harmonic Functions, Complex Integration: Cauchy Theorem, Cauchy Integral Formula, Taylor and Laurent Series, Singularity, Residue.

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[mamadetaslimtorabally]

You are one of the best tutors! Thank you so much.

[raiel-hawiyeh]

Why is it that I speak no Hindi and this is the best proof or teaching product I have found? Dhanyavaad

[jarikosonen]

I think there is no convergence for |z|=1 case... if its integrated from 0+ to 2*pi- (to avoid including point t=0 twice and not even once) gives -i*pi (not -i*2*pi). If 0 point included the integral results is at -infinity... however limes case results is zero. The results possibly would be zero even this looks like -infinity-(-infinity) -case. I might guess results to be zero for 0 to 2*pi -case.
But all the results I get are {-i*pi, 0, i*pi} depending how the limit is set, none -i*2*pi...
If you integrate from -pi to pi (what should be same) results is zero, but the integral may fail to exist because of a vertical asymptote in the function.
Second case |z|=1/2 the results seem zero.

[himanshuchoudhary]

today is my exam and its the first time i am studying these things. Great explaination!

[thomasblackwell]

Thank you for putting enough English in the video so that I and others can understand it. Excellent video! Tough subject! I remember taking it in Advanced Engineering Mathematics 2 at the University of Arizona 30 years ago. It was a hell of a course!

[shubhamshakya]

Sir please upload the vedeos of conformal & bilinear transformation
sir ur vedeos helps us alot 🙌

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[alliswell]

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[malalodhi]

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[anagabby]

Awesome! Your video helped me a lot with this topic that is driven me crazy! -.-' Trying to save the course! Thanks!!!

[shantanubhattacharya]

Sir your engineering mechanics videos has helped me a lot in my final exam yesterday.
thank you very much.

[Mr_Bihari]

Sir cauchy integral theorem or formula dono hi bahot ache se samajh me aa gya ha.... Sir aap bahot acha padhate ha sir ab koi doubt nhi ha is topic me

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[OneTrueBIue]

Great teaching and circle drawing skills

[vandanbhanderi]

Thank you sir, this video very useful for me.
Again thankyou

[sadatlucas]

I dont understand the language spoken but ..u opened my mind bro....thanks

[Akkiish]

Can we apply Residue theorem for this type of questions?

[divyanshmishra]

How we determine that the point is outside the curve or inside the curve

[soumyajitnaskar]

sir thank you so much for these videos. Helped a lot during my exams :)

[emonkhan-ybts]

tnx for the video. it helped me sooo much.