Question

Cauchy Integral Question...

Answer 1

post your question ..!

Answer 2

Now you're just keeping us in suspense.

Answer 3

Congratulations on achieving "Master" James, you sure deserve it.

Answer 4

thanks

Answer 5

Find\[\int\limits_c \frac{1}{z-1}dz\] where C is any circle centred at z=1 with the usual counterclockwise orientation:\[\gamma(t)=1+Ae^{2\pi i t} , 0\le t \le1\].

Sorry it took so long to post the question. I forgot all the shortcuts on how to write the equations...

Answer 6

This is very straightforward, as

1/(z-1) = 1/A . exp(-2pi.i.t) and dz = 2 A pi.i.exp(2pi.i.t)

Answer 7

so what does your integral simplify to?

Answer 8

dz = 2 A pi.i.exp(2pi.i.t) dt

Answer 9

Thanks!