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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Anyone a Riemann Surface guru?

**Physics Forums | Science Articles, Homework Help, Discussion**