- #1
RichardJB
- 1
- 0
Hi everyone,
Long time lurker on the forums here...lots of good reading to be had! This is not too much of a homework question rather than me just being curious about a certain property, although I thought I might as well post it here since other students will most likely find this helpful. Most complex analysis textbooks I've come across state that conformal mappings are sense and angle preserving (between curves). They readily prove the angle preserving part, but I've never actually seen a formal proof of why they preserve the sense of any simple curves. How is this usually accomplished?
This didn't initially bother me too much, and I just sort of accepted the fact, but I had to explain conformal mapping to a few university friends today and this got me thinking about this fact.
Thanks!
Long time lurker on the forums here...lots of good reading to be had! This is not too much of a homework question rather than me just being curious about a certain property, although I thought I might as well post it here since other students will most likely find this helpful. Most complex analysis textbooks I've come across state that conformal mappings are sense and angle preserving (between curves). They readily prove the angle preserving part, but I've never actually seen a formal proof of why they preserve the sense of any simple curves. How is this usually accomplished?
This didn't initially bother me too much, and I just sort of accepted the fact, but I had to explain conformal mapping to a few university friends today and this got me thinking about this fact.
Thanks!