Conformal Mapping

UC Berkeley Senior studying Applied Mathematics explains the proof of the conformal equivalence between the upper half plane (denoted by H) and the unit disk (denoted by D).

[adityasingh.]

Your pen paper teaching is extraordinary with smooth writing.

[ayesham]

omg...your handwriting is out of this a pleasure !!!

[markmarkus]

Super helpful. Do you know of any easy to understand books on the subject? I’m trying to understand the equations behind the “ 90° phase difference Network “ for single sideband modulation. No work has been done on the subject since 1954. It’s all about coordinating several different values together that could never be dialed in by hand. it must use math.

[leagueofleogends]

I understood nearly everything but why is g equals to i * (1-z)/(1+z)?

[samkirkiles]

Could you make a video explaining the preceeding theorem Propsosition 1.1? it is so vague and the book skips all the confusing details

[luisvalerin]

How to map exterior of |z-1|=1 and |z+1|=1 into interior of unit disc?

[hyperduality]

Injective is dual to surjective synthesizes bijective or isomorphism.
Isomorphism means two equivalent or differing descriptions (aspects) of the same state or space -- duality!
Absolute sameness (isomorphism) is dual to relative sameness (homomorphism).
Automorphism is dual to endomorphism.
"Always two there are" -- Yoda.

[shunansun]

Thank you. Your explaination was clear.

[barkatmian]

How does she record her videos? Can anybody tell me please. I’m sure she’s never gonna see/reply-to my comment

[mohammadabdulla]

Why don't you consider doing more videos?