Homework 5 discussion area
Isn't Problem 1 a real analysis problem?
Homework 2
By brute-force, maybe.. Is there any other way than computing the difference quotient?
Homework 3
Identity theorem
Homework 4-6
They all follows Schwarz's Lemma. The only trick is to construct a composite map that map back and forth and eventually unit disc into itself.
Homework 7
I still cannot help quoting the Baire category theorem since Prof. Bell said it's OK.
