Question

Complex analysis. Applicability of analytic functions. Just looking for someone to give me some examples or explain :P

Answer 1

I know for a complex function f(z), where z is any complex number x+iy and the function is in some form u(x,y)+v(x,y)i, it must satisfy the cauchy riemann equations to be an analytic function, namely:
\[\frac{\delta u}{\delta x}=\frac{\delta v}{\delta y}\]
and
\[\frac{\delta u}{\delta y}=-\frac{\delta v}{\delta x}\]
But I don't understand the IMPORTANCE of analytic functions.

Answer 2

\[\tt{That's\space really \space complex}\]

Answer 3

I know x.x I have a complex analysis book or two but they are so dense and hard to digest :/

Answer 4

I won't get this until next year...

Answer 5

Same :/

Answer 6

I can do a little contour integration but I have to have a complex analysis book as a reference. I only know very little of residue theory. But its so fascinating.