| Line 3: | Line 3: | ||
Isn't Problem 1 a real analysis problem? | Isn't Problem 1 a real analysis problem? | ||
| − | == | + | == Problem 2 == |
By brute-force, maybe.. Is there any other way than computing the difference quotient? | By brute-force, maybe.. Is there any other way than computing the difference quotient? | ||
| − | == | + | == Problem 3 == |
Identity theorem | Identity theorem | ||
| − | == | + | == Problem 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. | 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. | ||
| − | == | + | == Problem 7 == |
I still cannot help quoting the Baire category theorem since Prof. Bell said it's OK. | I still cannot help quoting the Baire category theorem since Prof. Bell said it's OK. | ||
Latest revision as of 17:05, 22 February 2011
Homework 5 discussion area
Isn't Problem 1 a real analysis problem?
Problem 2
By brute-force, maybe.. Is there any other way than computing the difference quotient?
Problem 3
Identity theorem
Problem 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.
Problem 7
I still cannot help quoting the Baire category theorem since Prof. Bell said it's OK.
