Sauter au contenu\( \newcommand{\N}{\mathbb N}
\newcommand{\Z}{\mathbb Z}
\newcommand{\Q}{\mathbb Q}
\newcommand{\R}{\mathbb R}
\newcommand{\ts}{\textstyle}
\newcommand{\ds}{\displaystyle}
\newcommand{\va}{\mathbf{a}}
\newcommand{\vb}{\mathbf{b}}
\newcommand{\vc}{\mathbf{c}}
\newcommand{\vC}{\mathbf{C}}
\newcommand{\vE}{\mathbf{E}}
\newcommand{\vd}{\mathbf{d}}
\newcommand{\ve}{\mathbf{e}}
\newcommand{\vg}{\mathbf{g}}
\newcommand{\vh}{\mathbf{h}}
\newcommand{\vi}{\mathbf{i}}
\newcommand{\vj}{\mathbf{j}}
\newcommand{\vl}{\mathbf{l}}
\newcommand{\vk}{\mathbf{k}}
\newcommand{\vn}{\mathbf{n}}
\newcommand{\vm}{\mathbf{m}}
\newcommand{\vp}{\mathbf{p}}
\newcommand{\vq}{\mathbf{q}}
\newcommand{\vr}{\mathbf{r}}
\newcommand{\vs}{\mathbf{s}}
\newcommand{\vt}{\mathbf{t}}
\newcommand{\vu}{\mathbf{u}}
\newcommand{\vv}{\mathbf{v}}
\newcommand{\vphi}{\pmb{\phi}}
\newcommand{\vw}{\mathbf{w}}
\newcommand{\vx}{\mathbf{x}}
\newcommand{\vy}{\mathbf{y}}
\newcommand{\vz}{\mathbf{z}}
\newcommand{\vZero}{\mathbf{0}}
\newcommand{\vF}{\mathbf{F}}
\newcommand{\vR}{\mathbf{R}}
\newcommand{\vT}{\mathbf{T}}
\newcommand{\vN}{\mathbf{N}}
\newcommand{\vL}{\mathbf{L}}
\newcommand{\vB}{\mathbf{B}}
\newcommand{\vD}{\mathbf{D}}
\newcommand{\vH}{\mathbf{H}}
\newcommand{\vK}{\mathbf{K}}
\newcommand{\vG}{\mathbf{G}}
\newcommand{\vA}{\mathbf{A}}
\newcommand{\vS}{\mathbf{S}}
\newcommand{\vV}{\mathbf{V}}
\newcommand{\norm}[1]{\left\| #1 \right\|}
\newcommand{\proj}{\text{proj}\, }
\newcommand{\comp}{\text{comp}\, }
\newcommand{\rot}{\text{rot}\, }
\renewcommand{\div }{\text{div}\, }
\newcommand{\grad }{\text{grad}\, }
\newcommand{\Om}{\Omega}
\newcommand{\om}{\omega}
\newcommand{\vOm}{\pmb{\Omega}}
\newcommand{\svOm}{\pmb{\scriptsize\Omega}}
\renewcommand{\a}{\alpha}
\renewcommand{\b}{\beta}
\newcommand{\g}{\gamma}
\newcommand{\e}{\epsilon}
\newcommand{\veps}{\varepsilon}
\renewcommand{\d}{\delta}
\newcommand{\f}{\phi}
\renewcommand{\j}{\theta}
\newcommand{\ka}{\kappa}
\newcommand{\la}{\lambda}
\newcommand{\be}{\beta}
\newcommand{\al}{\alpha}
\newcommand{\dvect}[2]{\left[\begin{array}{r} #1\\ #2\end{array} \right]}
\newcommand{\tvect}[3]{\left[\begin{array}{r} #1\\ #2 \\ #3\end{array} \right]}
\newcommand{\ctvec}[3]{\left[\begin{array}{c} #1\\ #2 \\ #3\end{array} \right]}
\newcommand{\rvd}[2]{\left[\,\begin{smallmatrix}\hfill\mathstrut #1 \\\hfill\mathstrut #2 \end{smallmatrix}\,\right]}
\newcommand{\rvt}[3]{\left[\,{\begin{smallmatrix} \hfill\mathstrut#1 \\ \hfill\mathstrut #2 \\ \hfill\mathstrut #3 \end{smallmatrix}}\,\right]}
\newcommand{\rfvect}[4]{\left[\,{\begin{smallmatrix} \hfill\mathstrut#1 \\ \hfill\mathstrut #2 \\ \hfill\mathstrut #3 \\ \hfill\mathstrut #4 \end{smallmatrix}}\,\right]}
\newcommand{\rctvec}[3]{\left[\,{\begin{smallmatrix} #1 \\ #2 \\ #3 \end{smallmatrix}}\,\right]}
\newcommand{\plan}[1]{\mathcal{#1}}
\newcommand{\diff}[2]{\frac{d#1}{d#2}}
\newcommand{\pdiff}[2]{ \frac{\partial #1}{\partial #2}}
\newcommand{\difftwo}[2]{ \frac{d^2#1}{d{#2}^2}}
\newcommand{\De}{\Delta}
\newcommand{\Atop}[2]{\genfrac{}{}{0pt}{}{#1}{#2}}
\newcommand{\atp}[2]{ \genfrac{}{}{0in}{}{#1}{#2} }
\newcommand{\smsum}{\mathop{{\ts \sum}}}
\newcommand{\half}{ \frac{1}{2} }
\newcommand{\Set}[2]{\big\{ \ #1\ \big|\ #2\ \big\}}
\newcommand{\set}[1]{ \left\{#1\right\} }
\DeclareMathOperator{\sgn}{sgn}
\newcommand{\dee}[1]{d#1}
\newcommand{\eqf}[1]{{\buildrel \rm #1 \over =}}
\newcommand{\ave}{\mathrm{ave}}
\newcommand{\llt}{\left ( }
\newcommand{\rgt}{\right ) }
\newcommand{\vnabla}{ { \mathchoice{\pmb{\nabla}}
{\pmb{\nabla}}
{\pmb{\scriptstyle\nabla}}
{\pmb{\scriptscriptstyle\nabla}} } }
\DeclareMathOperator{\sech}{sech}
\DeclareMathOperator{\csch}{csch}
\DeclareMathOperator{\arcsec}{arcsec}
\DeclareMathOperator{\arccot}{arcCot}
\DeclareMathOperator{\arccsc}{arcCsc}
\DeclareMathOperator{\arccosh}{arcCosh}
\DeclareMathOperator{\arcsinh}{arcsinh}
\DeclareMathOperator{\arctanh}{arctanh}
\DeclareMathOperator{\arcsech}{arcsech}
\DeclareMathOperator{\arccsch}{arcCsch}
\DeclareMathOperator{\arccoth}{arcCoth}
\def\eqover#1{\ {\buildrel #1 \over =}\ }
\newcommand{\impliesover}[1]{ {\buildrel #1 \over\implies} }
\newcommand{\cA}{\mathcal{A}}
\newcommand{\cB}{\mathcal{B}}
\newcommand{\cC}{\mathcal{C}}
\newcommand{\cD}{\mathcal{D}}
\newcommand{\cE}{\mathcal{E}}
\newcommand{\cR}{\mathcal{R}}
\newcommand{\cS}{\mathcal{S}}
\newcommand{\cT}{\mathcal{T}}
\newcommand{\cV}{\mathcal{V}}
\newcommand{\cH}{\mathcal{H}}
\newcommand{\YEaxis}[2]{\draw[help lines] (-#1,0)--(#1,0) node[right]{$x$};\draw[help lines] (0,-#2)--(0,#2) node[above]{$y$};}
\newcommand{\YEaaxis}[4]{\draw[help lines] (-#1,0)--(#2,0) node[right]{$x$};\draw[help lines] (0,-#3)--(0,#4) node[above]{$y$};}
\newcommand{\YEtaxis}[4]{\draw[help lines] (-#1,0)--(#2,0) node[right]{$t$};\draw[help lines] (0,-#3)--(0,#4) node[above]{$y$};}
\newcommand{\YEtaaxis}[4]{\draw[help lines, <->] (-#1,0)--(#2,0) node[right]{$t$}; \draw[help lines, <->] (0,-#3)--(0,#4) node[above]{$y$};}
\newcommand{\YExcoord}[2]{\draw (#1,.2)--(#1,-.2) node[below]{$#2$};}
\newcommand{\YEycoord}[2]{\draw (.2,#1)--(-.2,#1) node[left]{$#2$};}
\newcommand{\YEnxcoord}[2]{\draw (#1,-.2)--(#1,.2) node[above]{$#2$};}
\newcommand{\YEnycoord}[2]{\draw (-.2,#1)--(.2,#1) node[right]{$#2$};}
\newcommand{\YEstickfig}[3]{
\draw (#1,#2) arc(-90:270:2mm);
\draw (#1,#2)--(#1,#2-.5) (#1-.25,#2-.75)--(#1,#2-.5)--(#1+.25,#2-.75) (#1-.2,#2-.2)--(#1+.2,#2-.2);}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Appendice E. Surfaces paramétriques
