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| author | joshuab <> | 2010-07-02 16:50:49 +0000 |
|---|---|---|
| committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-02 16:50:49 +0000 |
| commit | 9689548ca3286d5b4a6f651868a86f10b629516e (patch) | |
| tree | ba21c6938beeac46a11faf81cf7d70a96fdcecb9 /Problem Set 1.page | |
| parent | 4f4c8a1d598cb82b5accf158fb6e1a382fb2a687 (diff) | |
| download | afterklein-wiki-9689548ca3286d5b4a6f651868a86f10b629516e.tar.gz afterklein-wiki-9689548ca3286d5b4a6f651868a86f10b629516e.zip | |
changed formatting
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| -rw-r--r-- | Problem Set 1.page | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/Problem Set 1.page b/Problem Set 1.page index 60831d3..34389c4 100644 --- a/Problem Set 1.page +++ b/Problem Set 1.page @@ -10,9 +10,9 @@ You might want to use this fact in the problems below, though it's not necessary. -- Write down the Cauchy-Riemann equations in polar coordinates. +5. Write down the Cauchy-Riemann equations in polar coordinates. -6. Show that the function $f(z) = \overline{z}$ is not holomorphic, despite being angle-preserving. How does this function transform the complex plane? +- Show that the function $f(z) = \overline{z}$ is not holomorphic, despite being angle-preserving. How does this function transform the complex plane? - Show that the function $f(z) = z^n$ is holomorphic for any integer n (possibly negative!). How do these functions transform the complex plane? |