Harmonic Functions -- Complex Analysis 9

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[kristianwichmann]

Refreshing complex analysis with this video series is a true joy.

[SmartInvestor]

I am reading the book Visual Complex Analysis by Tristan Needham and your videos are very helpful to understand some concepts that couldn't clarify from reading. Thank you, you are a great teacher 🙏🏾

[kapoioBCS]

It is very refreshing and nostalgic to see again how easy all this stuff feel know, when at the same time studying for a graduate course on Several complex variables analysis…

[sciencewithali]

Thank you so much professor for this amazing and insightful video! Your approach is very intuitive and thus easier to understand and apply.

[Stobber]

21:58 One important semantic point: "del" isn't the Laplacian. Del is the nabla ∇; the Laplacian is "del squared", which is why it gets a different symbol 𝝙.

[orenfivel]

Can you PLS make a video about the Lambert W function with its all branches in the complex plane*?
W(z)=inverse of z*exp(z)

[Satyam-nitap]

learning for midsem exam from nit ap.
love from india

[KuroboshiHadar]

Thank God, I missed these uploads last week :0

[geekmath-uxzj]

My answers for these warm-up questions:

Q1

d/dz(tan^(-1)z) = 1/(1+z^2)

Q2

(1)

f=z^2+C

(2)

f=-i*z^3+C

Thank you professor for your wonderful explanation.

[JM-usfr]

At 14:00 you use the Chain Rule. Have we established the Chain Rule yet? I don't seem to recall.

[MonsieurSeize]

I didn't understand what justifies the existence of a harmonic conjugate ...

[icewlf]

why did he say jacobian of f inverse is inverse of jacobian of f and then say those two are equal when the first one is evaluated at f(z) but the second one at z

also

and I don't understand why he evaluates derivative of f inverse at f(z) and says its equal to a_x+ib_x, without saying where a_x and b_x are evaluated

[Jkauppa]

what is the complete elliptic integral of the second kind, ie, what is the integral function that's derivative produces the integrand

[PunmasterSTP]

Harmonic conjugate? More like "Oh man, there are many great"...videos on both your channels!