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\title{Computermathematik}
\subtitle{Sage 1}
\author{Maria Eichlseder}
\date{20.~November~2013}


\begin{document}
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\begin{frame}[plain, noframenumbering]
\maketitle
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{L"osen von mathematischen Aufgaben am Computer}
\begin{itemize}
\item ``Rechner''
\itembreak
\item \structure{numerisch} rechnen
\itembreak
\item \structure{symbolisch} rechnen, Gleichungen l"osen
\itembreak
\item experimentieren, testen, z"ahlen, \structure{simulieren}
\end{itemize}
\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Sage?}

\begin{itemize}
\item \structure{Computeralgebrasystem}
\item free \& open source
\item einheitliche Schnittstelle zu vielen spezialisierten Bibliotheken \\
  \sidenote{freie und proprietäre}
\item numerisch und symbolisch rechnen, 2D- und 3D-Plots,

viele Spezialfunktionen für Algebra, Lineare Algebra, Zahlentheorie, Statistik, Optimierung,
Kryptographie, \dots
\item Programmiersprache $\approx$ \structure{Python}
\end{itemize}

\end{frame}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Sage verwenden}

\begin{itemize}
\item als \structure{Python-Bibliothek} in Skripts
\itembreak
\item als interaktiver Konsolen-\structure{Taschenrechner}
\itembreak
\item als \structure{Worksheet}
\itembreak
\item Ergebnisse 
$\begin{cases} 
\text{sehen,}\\
\text{exportieren (\LaTeX, \ldots),}\\
\text{direkt weiterverwenden (Python, \ldots)}
\end{cases}$
\end{itemize}

\end{frame}

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\begin{frame}{Sage verwenden}
\begin{itemize}
\item \structure{Online}

  \url{http://www.sagenb.org}

  \url{https://cloud.sagemath.com}

  \sidenote{Ressourcen beschränkt, zum Testen}

\itembreak

\item lokal \structure{installieren} (Linux, Mac)

  \url{http://www.sagemath.org/download-linux.html}

  \url{http://www.sagemath.org/download-mac.html}

  starte \texttt{sage} $\to \begin{cases}
  \text{Konsoleninterface} \\
  \text{\texttt{notebook()} f"ur Web-Interface}
  \end{cases}$

\itembreak

\item \structure{virtuelle Maschine} mit VirtualBox installieren (Windows)

  \url{http://www.sagemath.org/download-windows.html}

\itembreak

\item \structure{Python-Bibliothek}

  \texttt{from sage.all import *}

\end{itemize}
\end{frame}

\begin{frame}
\begin{center}
{\Huge \structure{$\Rightarrow$ Demo}}

weiter direkt in Sage
\end{center}
\end{frame}
\end{document}
