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Intuitively, conformal means angle preserving. How can I see that the left half plane is mapped to the unit disc with the angle of each element of the left half plane preserved?

Fraïssé
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    you are using the term bilinear incorrectly. Consider reading your textbook. – Will Jagy Apr 02 '15 at 04:34
  • I bet he just used "bilinear" in place of "biolomorphic". Anyway, this is a duplicate. – Jack D'Aurizio Apr 02 '15 at 12:33
  • @JackD'Aurizio I think "bilinear" here stands for "fractional linear", $(az+b)/(cz+d)$. Because there are two linear functions in the formula. –  Apr 02 '15 at 14:03
  • @JackD'Aurizio: I think 'pizza' has hit it exactly. This is traditionally called a linear fractional mapping or a fractional linear mapping. – MPW Apr 02 '15 at 15:35

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