Question

How can I prove that if a function f(z) is continuous in a simply connected region and the integration of this function over a closed path gives 0, then the function must be analytic?

Answer 1

this question may be a bit out of the league of Open Study
if we fail you I recommend trying here:
http://math.stackexchange.com/

Answer 2

Oh, sorry. What level of questions are we supposed to ask o answer? Its my first time here.

Answer 3

Some people here can go up to vector calc, discrete math, set theory, complex analysis, and linear algebra. There aren't that many of us who can do that though. Your question is right at the limit I would say. Someone may be able to answer it, but I wouldn't count on it.

Answer 4

Got it, and thank you for that website, it seems really interesting.