%&context

{\bf Theorem 1 (Residue Theorem).}
Let $f$ be analytic in the region $G$ except for the isolated singularities $a_1,a_2,\ldots,a_m$. If $\gamma$ is a closed rectifiable curve in $G$ which does not pass through any of the points $a_k$ and if $\gamma\approx 0$ in $G$ then
\startformula
\frac{1}{2\pi i}\int_\gamma f = \sum_{k=1}^m n(\gamma;a_k) \text{Res}(f;a_k).
\stopformula

{\bf Theorem 2 (Maximum Modulus).}
{\em Let $G$ be a bounded open set in ${\mb C}$ and suppose that $f$ is a continuous function on $G^-$ which is analytic in $G$. Then}
\startformula
\max\{|f(z)|:z\in G^-\}=\max \{|f(z)|:z\in \partial G \}.
\stopformula
%\vspace*{-1em}

\define\abc{abcdefghijklmnopqrstuvwxyz}
\define\ABC{ABCDEFGHIJKLMNOPQRSTUVWXYZ}
\define\alphabeta{\alpha\beta\gamma\delta\epsilon\varepsilon\zeta\eta\theta\vartheta\iota\kappa\varkappa\lambda\mu\nu\xi o\pi\varpi\rho\varrho\sigma\varsigma\tau\upsilon\phi\varphi\chi\psi\omega}
\define\AlphaBeta{\Gamma\Delta\Theta\Lambda\Xi\Pi\Sigma\Upsilon\Phi\Psi\Omega}

%\ABC \quad $\ABC$

%\abc \quad $\abc$ \quad $01234567890$

%$\AlphaBeta$ \quad $\alphabeta$ \quad $\ell\wp\aleph\infty\propto\emptyset\nabla\partial\mho\imath\jmath\hslash\eth$

${\rm A} \Lambda \Delta \nabla {\rm B C D} \Sigma {\rm E F} \Gamma {\rm G H I J K L M N O} \Theta \Omega \mho {\rm P} \Phi \Pi \Xi {\rm Q R S T U V W X Y} \Upsilon \Psi {\rm Z} $  $ \quad 1234567890 $

%$\mathit{A \Lambda \Delta B C D E F \Gamma G H I J K L M N O \Theta \Omega P \Phi \Pi \Xi Q R S T U V W X Y \Upsilon \Psi Z }$

% don't allow overfull boxes
$a\alpha b \beta c \partial d \delta e \epsilon \varepsilon f \zeta \xi g \gamma h \hbar \hslash \iota i \imath j \jmath k \kappa \varkappa l \ell \lambda m n \eta \theta \vartheta o \sigma \varsigma \phi \varphi \wp p \rho \varrho q r s t \tau \pi u \mu \nu v \upsilon w \omega \varpi x \chi y \psi z$ $\infty \propto \emptyset \varnothing {\rm d}\eth \backepsilon$

${\cal \ABC} \quad {\mb \ABC}$

%\boldmath $\alpha + b = 27$


