TUD_MATH_BA/2. Semester/LAAG/Vorlesung LAAG.tex

83 lines
2.3 KiB
TeX
Raw Normal View History

2018-08-05 20:02:50 +02:00
\documentclass[ngerman,a4paper,order=firstname]{../../texmf/tex/latex/mathscript/mathscript}
\usepackage{../../texmf/tex/latex/mathoperators/mathoperators}
2018-04-11 13:27:40 +02:00
\title{\textbf{Lineare Algebra SS2018}}
\author{Dozent: Prof. Dr. Arno Fehm}
\begin{document}
2018-04-11 13:27:40 +02:00
\pagenumbering{roman}
\pagestyle{plain}
\maketitle
2018-04-11 13:27:40 +02:00
\hypertarget{tocpage}{}
\tableofcontents
2018-04-11 13:27:40 +02:00
\bookmark[dest=tocpage,level=1]{Inhaltsverzeichnis}
\pagebreak
\pagenumbering{arabic}
\pagestyle{fancy}
\setcounter{chapter}{4}
2018-04-13 10:50:32 +02:00
\chapter{Endomorphismen}
2018-06-14 18:40:56 +02:00
\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}
2018-04-13 10:50:32 +02:00
\chapter{Skalarprodukte}
2018-06-14 18:40:56 +02:00
\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}
2018-04-11 13:27:40 +02:00
2018-04-13 10:50:32 +02:00
\chapter{Dualität}
2018-06-08 12:44:09 +02:00
\input{./TeX_files/Das_Lemma_von_Zorn}
2018-06-14 10:49:31 +02:00
\include{./TeX_files/Der_Dualraum}
2018-06-15 12:39:59 +02:00
\include{./TeX_files/Die_duale_Abbildung}
2018-06-21 10:42:53 +02:00
\include{./TeX_files/Die_adjungierte_Abbildung}
2018-06-22 12:39:25 +02:00
\include{./TeX_files/Der_Spektralsatz}
2018-06-28 10:51:51 +02:00
\include{./TeX_files/Tensorprodukte}
2018-04-13 10:50:32 +02:00
\chapter{Moduln}
2018-06-29 12:45:04 +02:00
\input{./TeX_files/Moduln}
2018-07-05 10:53:51 +02:00
\include{./TeX_files/Teilbarkeit}
2018-07-06 12:40:00 +02:00
\include{./TeX_files/Hauptidealringe}
\include{./TeX_files/Faktorielle_Ringe}
2018-07-12 10:57:25 +02:00
\include{./TeX_files/Quotienten_von_Ringen_und_Moduln}
2018-07-13 12:58:38 +02:00
\include{./TeX_files/Der_Elementarteilersatz}
2018-07-20 12:45:05 +02:00
\include{./TeX_files/Zyklische_Vektorraeume}
2018-04-13 10:50:32 +02:00
2018-04-11 13:27:40 +02:00
\part*{Anhang}
\addcontentsline{toc}{part}{Anhang}
\appendix
\chapter{Listen}
\section{Liste der Theoreme}
\theoremlisttype{allname}
\listtheorems{theorem}
\pagebreak
2018-07-20 12:45:05 +02:00
\section{Liste der benannten Sätze, Lemmata und Folgerungen}
2018-04-11 13:27:40 +02:00
\theoremlisttype{optname}
2018-07-20 12:45:05 +02:00
\listtheorems{proposition,lemma,conclusion}
2018-04-11 13:27:40 +02:00
\pagebreak
\section{Liste der Mathematica/WolframAlpha-Befehle}
\smiley{} für faule Mathematiker \smiley{} \\
\theoremlisttype{allname}
\listtheorems{mathematica}
%\printglossary[type=\acronymtype]
2018-04-11 13:27:40 +02:00
\printindex
2018-08-05 20:02:50 +02:00
\end{document}