ABSTRACT
D 2 is connected but is not contour connected. In fact, D2 is not even path connected.
Does this contradict Exercise 8.9 on page 393?
7. Evaluate ∮ C
z dz if C is the parametrized circle Cr(0).
8. Let f : C → C be given by f (z) = Im(z) + iRe(z). Evaluate ∫ C1
f (z) dz and ∫ C2
f (z) dz
where C1 and C2 are the parametrized polygonal contours given by C1 = [0, i, 1 + i] and C2 = [0, 1 + i]. Comment.
