TUD_MATH_BA/2. Semester/LAAG/Vorlesung LAAG.tex
2018-08-05 20:02:50 +02:00

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\documentclass[ngerman,a4paper,order=firstname]{../../texmf/tex/latex/mathscript/mathscript}
\usepackage{../../texmf/tex/latex/mathoperators/mathoperators}
\title{\textbf{Lineare Algebra SS2018}}
\author{Dozent: Prof. Dr. Arno Fehm}
\begin{document}
\pagenumbering{roman}
\pagestyle{plain}
\maketitle
\hypertarget{tocpage}{}
\tableofcontents
\bookmark[dest=tocpage,level=1]{Inhaltsverzeichnis}
\pagebreak
\pagenumbering{arabic}
\pagestyle{fancy}
\setcounter{chapter}{4}
\chapter{Endomorphismen}
\input{./TeX_files/Eigenwerte}
\include{./TeX_files/Das_charakteristische_Polynom}
\include{./TeX_files/Diagonalisierbarkeit}
\include{./TeX_files/Trigonalisierbarkeit}
\include{./TeX_files/Das_Minimalpolynom}
\include{./TeX_files/Nilpotente_Endomorphismen}
\include{./TeX_files/Die_Jordan_Normalform}
\chapter{Skalarprodukte}
\input{./TeX_files/Das_Standardskalarprodukt}
\include{./TeX_files/Bilinearformen_und_Sesquilinearformen}
\include{./TeX_files/Euklidische_und_unitaere_VR}
\include{./TeX_files/Orthogonalitaet}
\include{./TeX_files/Orthogonale_und_unitaere_Endomorphismen}
\include{./TeX_files/Selbstadjungierte_Endomorphismen}
\include{./TeX_files/Hauptachsentransformation}
\include{./TeX_files/Quadriken}
\chapter{Dualität}
\input{./TeX_files/Das_Lemma_von_Zorn}
\include{./TeX_files/Der_Dualraum}
\include{./TeX_files/Die_duale_Abbildung}
\include{./TeX_files/Die_adjungierte_Abbildung}
\include{./TeX_files/Der_Spektralsatz}
\include{./TeX_files/Tensorprodukte}
\chapter{Moduln}
\input{./TeX_files/Moduln}
\include{./TeX_files/Teilbarkeit}
\include{./TeX_files/Hauptidealringe}
\include{./TeX_files/Faktorielle_Ringe}
\include{./TeX_files/Quotienten_von_Ringen_und_Moduln}
\include{./TeX_files/Der_Elementarteilersatz}
\include{./TeX_files/Zyklische_Vektorraeume}
\part*{Anhang}
\addcontentsline{toc}{part}{Anhang}
\appendix
\chapter{Listen}
\section{Liste der Theoreme}
\theoremlisttype{allname}
\listtheorems{theorem}
\pagebreak
\section{Liste der benannten Sätze, Lemmata und Folgerungen}
\theoremlisttype{optname}
\listtheorems{proposition,lemma,conclusion}
\pagebreak
\section{Liste der Mathematica/WolframAlpha-Befehle}
\smiley{} für faule Mathematiker \smiley{} \\
\theoremlisttype{allname}
\listtheorems{mathematica}
%\printglossary[type=\acronymtype]
\printindex
\end{document}