mirror of
https://github.com/vale981/TUD_MATH_BA
synced 2025-03-04 17:21:38 -05:00
117 lines
3.4 KiB
TeX
117 lines
3.4 KiB
TeX
\documentclass[ngerman,a4paper,order=firstname]{../../texmf/tex/latex/mathscript/mathscript}
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\usepackage{../../texmf/tex/latex/mathoperators/mathoperators}
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\title{\textbf{Lineare Algebra WS2017/18 + SS2018}}
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\author{Dozent: Prof. Dr. \person{Arno Fehm}}
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\begin{document}
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\pagenumbering{roman}
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\pagestyle{plain}
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\maketitle
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\hypertarget{tocpage}{}
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\tableofcontents
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\bookmark[dest=tocpage,level=1]{Inhaltsverzeichnis}
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\pagebreak
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\pagenumbering{arabic}
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\pagestyle{fancy}
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\chapter*{Vorwort}
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\addcontentsline{toc}{chapter}{Vorwort}
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\input{./TeX_files/Vorwort}
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\chapter{Grundbegriffe der Linearen Algebra}
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\input{./TeX_files/Logik_und_Mengen}
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\include{./TeX_files/Abbildungen}
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\include{./TeX_files/Gruppen}
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\include{./TeX_files/Ringe}
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\include{./TeX_files/Koerper}
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\include{./TeX_files/Polynome}
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\chapter{Vektorräume}
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\input{./TeX_files/Definition_und_Beispiele}
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\include{./TeX_files/Linearkombinationen}
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\include{./TeX_files/Basis_und_Dimension}
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\include{./TeX_files/Summen_von_VR}
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\chapter{Lineare Abbildungen}
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\input{./TeX_files/Matrizen}
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\include{./TeX_files/Homomorphismen_von_Gruppen}
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\include{./TeX_files/Homomorphismen_von_Ringen}
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\include{./TeX_files/Homomorphismen_von_VR}
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\include{./TeX_files/Der_VR_der_linearen_Abbildungen}
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\include{./TeX_files/Koordinatendarstellung_linearer_Abbildungen}
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\include{./TeX_files/Quotientenraeume}
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\include{./TeX_files/Rang}
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\include{./TeX_files/Lineare_Gleichungssysteme}
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\chapter{Determinanten}
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\input{./TeX_files/Das_Vorzeichen_einer_Permutation}
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\include{./TeX_files/Determinante_einer_Matrix}
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\include{./TeX_files/Minoren}
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\include{./TeX_files/Determinante_und_Spur_von_Endomorphismen}
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\chapter{Endomorphismen}
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\input{./TeX_files/Eigenwerte}
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\include{./TeX_files/Das_charakteristische_Polynom}
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\include{./TeX_files/Diagonalisierbarkeit}
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\include{./TeX_files/Trigonalisierbarkeit}
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\include{./TeX_files/Das_Minimalpolynom}
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\include{./TeX_files/Nilpotente_Endomorphismen}
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\include{./TeX_files/Die_Jordan_Normalform}
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\chapter{Skalarprodukte}
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\input{./TeX_files/Das_Standardskalarprodukt}
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\include{./TeX_files/Bilinearformen_und_Sesquilinearformen}
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\include{./TeX_files/Euklidische_und_unitaere_VR}
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\include{./TeX_files/Orthogonalitaet}
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\include{./TeX_files/Orthogonale_und_unitaere_Endomorphismen}
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\include{./TeX_files/Selbstadjungierte_Endomorphismen}
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\include{./TeX_files/Hauptachsentransformation}
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\include{./TeX_files/Quadriken}
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\chapter{Dualität}
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\input{./TeX_files/Das_Lemma_von_Zorn}
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\include{./TeX_files/Der_Dualraum}
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\include{./TeX_files/Die_duale_Abbildung}
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\include{./TeX_files/Die_adjungierte_Abbildung}
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\include{./TeX_files/Der_Spektralsatz}
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\include{./TeX_files/Tensorprodukte}
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\chapter{Moduln}
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\input{./TeX_files/Moduln}
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\include{./TeX_files/Teilbarkeit}
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\include{./TeX_files/Hauptidealringe}
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\include{./TeX_files/Faktorielle_Ringe}
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\include{./TeX_files/Quotienten_von_Ringen_und_Moduln}
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\include{./TeX_files/Der_Elementarteilersatz}
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\include{./TeX_files/Zyklische_Vektorraeume}
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\part*{Anhang}
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\addcontentsline{toc}{part}{Anhang}
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\appendix
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\chapter{Listen}
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\section{Liste der Theoreme}
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\theoremlisttype{allname}
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\listtheorems{theorem}
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\pagebreak
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\section{Liste der benannten Sätze, Lemmata und Folgerungen}
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\theoremlisttype{optname}
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\listtheorems{proposition,lemma,conclusion}
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\pagebreak
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\section{Liste der Mathematica/WolframAlpha-Befehle}
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\smiley{} für faule Mathematiker \smiley{} \\
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\theoremlisttype{allname}
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\listtheorems{mathematica}
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%\printglossary[type=\acronymtype]
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\printindex
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\end{document}
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