Matematik 2 - Forår 2005
Reelle og Komplekse Funktioner
Monday, April 4, 2005, 8:15
Introduction in G5-112. I will give the definition of a complex differentiable
function and show that the Cauchy-Riemann equations hold. After this I
will give examples, as time permits.
Problem session. Work in groups.
Lecture in G5-112. We will go over part of Section 2 from AJ1,
especially Theorem 2.4.
From AJ: 2.1.5, 2.1.1, 2.1.3, 2.1.9.
The function f(z)=1/(z3 +8) is holomorphic everywhere except
where the denominator is 0. (why?). Find the points where f is not
Show that the Jacobian of a holomorphic function f is |f'(z)|2
for every z=(x,y) in the domain of f.
1Arne's notes: "A Short Introduction to Complex Analysis".
Updated March 31, CD.