Tuesday, April 26, 2016

complex numbers - Real and imaginary part

I need the real and imaginary part of $\log \sin (x+iy)$. I expand $\sin(x+iy)=\sin x \cosh y+i \cos x \sinh y$. But I don't know how to do it s logarithm

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analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...