- #1

- 1,170

- 3

^{2}?

Another question which also troubles me quite a bit:

Due to the cauchy riemann relations we have:

[itex]\oint[/itex]

_{C}f(z)dz = 0

But still I often see things like: "Consider two closed contours A and B in the argand diagram, B being sufficiently small that it lies completely within C. Show that if f(z) is analytic in the region between the two contours then:

[itex]\oint[/itex]

_{C}f(z)dz = [itex]\oint[/itex]

_{B}f(z)dz

But shouldn't that be obvious since they are both equal to zero?