So I'm supposed to describe the riemann surface of the following map:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]w=z-\sqrt{z^2-1}[/tex]

I cansort ofunderstand the basic idea and derivation behind the riemann surfaces of [tex]w=e^z[/tex] and [tex]w=\sqrt{z}[/tex],

but ask me a question about another mapping, and I really don't know where to begin. How does one attack a problem like this? i.e. how do you know where exactly the map is single-valued?

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# Anyone a Riemann Surface guru?

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