Road To Reality(Multiple valuedness, natural logarithms)

发布时间 2023-09-19 19:52:18作者: 千心

Road To Reality(Multiple valuedness, natural logarithms)

Addition-to-multiplication

\(e^{a+b}=e^ae^b\)
the inverse of the exponential function:
\(z=\ln{w}\) if \(w = e^z\)
Hence:
\(\ln{ab}=\ln{a}+\ln{b}\)

A special Cartesian form (\(z=x+iy\))

\(z=ln{r}+i\theta\)