Complex Analysis 06: The Complex Logarithm

A brief look at the logarithm on the complex plane

[macmos]

d/dz(Log(z)) not defined on the negative real axis, including zero. it is defined and analytic everywhere else.

[masonlegere]

Those marker are huge, talk about an arm workout.

[DiegoAToala]

Thank you, this is one of the best videos i have been seen about complex log

[trevorsimpson]

I personally think video 6 should be before video 5. Otherwise Dr Steele is very good.

[sayanjitb]

So why does imaginary-ness of z^2 +2 guarantees analyticity of Log(z^2+2)? Please help me out.
TIA

[CHRISTIANZEGARRA]

Is it acceptable to use x^2-y^2 when doing this kind of problems?

[rajmeghpara]

but i have a doubt that LOG(z) function is analitic where ?? in which condition ?? when z is real then it is analytic or not ???

[季明強]

my bad. don't know why last time was not in focus.

[季明強]

I like to read your video, but it is not on focus. Can you refocus this ?