From c89d675a1967948b817c45fd91eb2e80d3bc6e99 Mon Sep 17 00:00:00 2001 From: joshuab <> Date: Wed, 30 Jun 2010 20:35:13 +0000 Subject: changed cr problem --- Problem Set 1.page | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'Problem Set 1.page') diff --git a/Problem Set 1.page b/Problem Set 1.page index b545fd4..91d2a30 100644 --- a/Problem Set 1.page +++ b/Problem Set 1.page @@ -4,9 +4,9 @@ - Show that every nonzero complex number has exactly $3$ cube roots. What are the cube roots of $i$? Draw them in the complex plane. -- Show that the Cauchy-Riemann equations are equivalent to the following PDE: +- Show that the Cauchy-Riemann equations for $f=u+iv$ are equivalent to the following PDE: - $df/dx + i df/dy = 0$ + $\frac{\partial f}{\partial x} + i \frac{\partial f}{\partial y} = 0$ You might want to use this fact in the problems below, though it's not necessary. -- cgit v1.2.3