%% 
%%  Der Mathematiksatz mit LaTeX, 1. Auflage 2009
%% 
%%  Example 10-5-1 on page 220.
%% 
%%  Copyright (C) 2009 Herbert Voss
%% 
%%  It may be distributed and/or modified under the conditions
%%  of the LaTeX Project Public License, either version 1.3
%%  of this license or (at your option) any later version.
%% 
%%  See http://www.latex-project.org/lppl.txt for details.
%% 

\documentclass[]{ttctminimal}
\pagestyle{empty}
\setcounter{page}{6}
\setlength\textwidth{355.65944pt}
\AtBeginDocument{\setlength\parindent{0pt}}
\StartShownPreambleCommands
\usepackage{eucal,amsmath,esint} \newcommand*\Q[2]{\frac{\partial#1}{\partial#2}}
\StopShownPreambleCommands
\begin{document}
The \emph{first theorem of Green} is:
\[
  \underset{\mathcal{G}\quad}\iiint\!\left[u\nabla^{2}v+\left(\nabla u,
  \nabla v\right)\right]d^{3}V=\underset{\mathcal{S}\quad}\oiint u\Q{v}{n}d^{2}A
\]
The \emph{second theorem of Green} is:
\[
  \underset{{\mathcal{G}\quad}}\iiint\!\left[u\nabla^{2}v-v\nabla^{2}u\right]d^{3}V
    =\underset{\mathcal{S}\quad}\oiint\left(u\Q{v}{n}-v\Q{u}{n}\right)d^{2}A
\]
\end{document}