Question 8.4: Prove that the angle between two curves C1 and C2 passing th...
Prove that the angle between two curves C_{1} and C_{2} passing through the point z_{0} in the z plane [see Figs. 8-1 and 8-2, page 243] is preserved [in magnitude and sense] under the transformation w=f(z), i.e., the mapping is conformal, if f(z) is analytic at z_{0} and f^{\prime}\left(z_{0}\right) \neq 0.
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