- #1
physicsjock
- 89
- 0
I have an example I want to clearify,
Let C be a semicircle from 2 to -2 which passes through 2i and let T be a semicircle from 2 to -2 which passes through -2i.
If you take the integral of z^2 dz around both paths the is the same, as the function is analytic so the integral is independant of the path,
However if you take the integral of the conjugate of z over these to paths you get
[PLAIN]http://img6.imageshack.us/img6/7467/unledpcv.jpg [Broken]
Let C be a semicircle from 2 to -2 which passes through 2i and let T be a semicircle from 2 to -2 which passes through -2i.
If you take the integral of z^2 dz around both paths the is the same, as the function is analytic so the integral is independant of the path,
However if you take the integral of the conjugate of z over these to paths you get
[PLAIN]http://img6.imageshack.us/img6/7467/unledpcv.jpg [Broken]
Last edited by a moderator: