Originally Posted by

**Alexrey** Hi eeyore, I'll definitely check that book out, thanks a lot! Unfortunately none of our classes thus far have dealt with methods of proof, but I heard that Real Analysis, which I'll be taking next semester, should have been taken before taking Complex Analysis as it would have given a clearer picture. The only problem is that we weren't even given the option of taking it in semester 1 which is pretty weird, so it almost seems like there's a fault in the course structure.

One such example of a question that I would seem was "simple" is the following:

Prove that conjugate(cos(z)) = cos(conjugate(z)). I dunno if that makes sense like that but we had to prove that the conjugate over the whole expression was equal to cos of the conjugate of z.

I went about it by saying that since cos(z) = 1/2e^iz + 1/2e^-iz, then conjugate(1/2e^iz + 1/2e^-iz) = 1/2e^i(conjugate(z)) + 1/2e^i(conjugate(z)) and therefore proves that conjugate(cos(z)) = coz(conjugate(z)).

I realised that that was only one step in proving the statement, which turned out to be pretty damn complicated and involved the dreaded epsilons and deltas.