Math 421, Autumn, 2022, University Park

Complex numbers

\[\begin{gather*} 1 = e^{2 \pi i}, \quad m \ddot{z} = -z | z | - i, \quad i \frac{\partial \psi}{\partial t} = k \frac{\partial^2 \psi}{\partial x^2} + V(x) \psi \\ \mathscr{F}[f](s) = \int_{-\infty}^{\infty} f(x) e^{-2 \pi i s x} dx, \quad f'(w) = \frac{1}{2 \pi i} \oint_{\partial \Omega : \Omega \ni w} \frac{f(z)}{(z-w)^2} dz \\ \ddot{z} = \frac{-z}{|z|^3} \end{gather*}\]

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Textbook Typos

We've encountered a few typographical issues with our textbook. This is the 2003 2nd edition of "Introduction to Complex Analysis" by H. A. Priestley, ISBN 0198525621.