TUD_MATH_BA/1. Semester/ANAG/Vorlesung_ANAG.tex

\documentclass[12pt, oneside]{book}
\usepackage[a4paper,left=2cm,right=2cm,top=2cm,bottom=4cm,bindingoffset=5mm]{geometry}
\usepackage[utf8]{inputenc}
\usepackage{paralist}
%\usepackage{booktabs}
%\usepackage{graphicx}
\usepackage[ngerman]{babel}
\usepackage{hyperref} % link chapters over name and page number
% math/enviroments
\usepackage{mathtools,bm}
\usepackage{stmaryrd} % Widerspruch symbol
\usepackage{amssymb}
\usepackage{amsfonts}
\usepackage{framed}
\usepackage[framed, hyperref, thmmarks, amsmath]{ntheorem}
\usepackage[framemethod=tikz]{mdframed}
\usepackage[autostyle]{csquotes}
%\usepackage{lipsum}
\usepackage{enumerate}
\usepackage{enumitem} % compress enumerate env
\setlist{nolistsep}
\usepackage{titlesec} % remove page break

%theorem enviroment

%theorem
\newframedtheorem{theorem}{Theorem}[chapter]
% example
\theoremstyle{break}
\theorembodyfont{\upshape} % no italics!
\newtheorem*{exmp}{Beispiel}
\theoremstyle{break}
\theorembodyfont{\upshape}
\newtheorem{exmpn}[theorem]{Beispiel}
% defintion
\theorembodyfont{\upshape}
\newtheorem{mydef}[theorem]{Definition}
% definition no numbering
\theorembodyfont{\upshape}
\newtheorem*{mydefn}{Definition}
% corollary
\theorembodyfont{\upshape}
\newtheorem{folg}[theorem]{Folgerung}
% remark
\theorembodyfont{\upshape}
\newtheorem*{remark}{Bemerkung}
% satz
\newtheorem{satz}[theorem]{Satz}
% beweis
\theorembodyfont{\upshape}
\newtheorem*{proof}{Beweis}
% lemma
\theorembodyfont{\upshape}
\newtheorem{lem}[theorem]{Lemma}
%\let\olddefinition\lem
%\renewcommand{\lem}{\olddefinition\normalfont}

%General newcommands!
\newcommand{\comp}{\mathbb{C}} % complex set C
\newcommand{\real}{\mathbb{R}} % real set R
\newcommand{\whole}{\mathbb{Z}} % whole number Symbol
\newcommand{\natur}{\mathbb{N}} % natural number Symbol
\newcommand{\ratio}{\mathbb{Q}} % rational number symbol
\newcommand{\field}{\mathbb{K}} % general field for the others above!
\newcommand{\diff}{\mathrm{d}} % differential d
\newcommand{\s}{\,\,}      % space after the function in the intergral
\newcommand{\cont}{\mathcal{C}} % Contour C
\newcommand{\fuk}{f(z) \s\diff z} % f(z) dz
\newcommand{\diffz}{\s\diff z}
\newcommand{\subint}{\int\limits} % lower boundaries for the integral
\newcommand{\poly}{\mathcal{P}} % special P - polygon
\newcommand{\defi}{\mathcal{D}} % D for the domain of a function
\newcommand{\cover}{\mathcal{U}} % cover for a set
\newcommand{\setsys}{\mathcal{M}} % set system M
\newcommand{\setnys}{\mathcal{N}} % set system N
\newcommand{\zetafunk}{f(\zeta)\s\diff \zeta} %f(zeta) d zeta
\newcommand{\ztfunk}{f(\zeta)} % f(zeta)
\newcommand{\bocirc}{S_r(z)}
\newcommand{\prop}{\,|\,}
\newcommand*{\QEDA}{\hfill\ensuremath{\blacksquare}} %tombstone
\newcommand{\emptybra}{\{\varnothing\}} % empty set with set-bracket
\newcommand{\realpos}{\real_{>0}}
\newcommand{\realposr}{\real_{\geq0}}
\newcommand{\naturpos}{\natur_{>0}}
\newcommand{\Imag}{\operatorname{Im}} % Imaginary symbol
\newcommand{\Realz}{\operatorname{Re}} % Real symbol
\newcommand{\norm}{\Vert \cdot \Vert}
\newcommand{\metric}{\vert \cdot \vert}
\newcommand{\foralln}{\forall n} %all n
\newcommand{\forallnset}{\forall n \in \natur} %all n € |N
\newcommand{\forallnz}{\forall n \geq _0} % all n >= n_0
\newcommand{\conjz}{\overline{z}} % conjugated z
\newcommand{\tildz}{\tilde{z}} % different z
\newcommand{\lproofar}{"`$ \Lightarrow $"'} % "`<="'
\newcommand{\rproofar}{"`$ \Rightarrow $"'} % "`=>"'
\newcommand{\beha}{\Rightarrow \text{ Behauptung}}
\newcommand{\powerset}{\mathcal{P}}


% Math Operators
\DeclareMathOperator{\inter}{int} % Set of inner points
\DeclareMathOperator{\ext}{ext} % Set of outer points
\DeclareMathOperator{\cl}{cl} % Closure

% Hack page break on part page.

\titleclass{\part}{top}
\titleformat{\part}[display]
{\normalfont\huge\bfseries}{\centering\partname\ \thepart}{20pt}{\Huge\centering}
\titlespacing*{\part}{0pt}{50pt}{40pt}
\titleclass{\chapter}{straight}
\titleformat{\chapter}[display]
{\normalfont\huge\bfseries}{\chaptertitlename\ \thechapter}{20pt}{\LARGE}
\titlespacing*{\chapter} {0pt}{50pt}{40pt}

\setlength\parindent{0pt} % noindent whole file!

\begin{document}

\title{\textbf{Analysis 1. Semester (WS2017/18)}}
\author{Dozent: Prof. Dr. Friedemann Schuricht\\
	Kursassistenz: Moritz Schönherr}
\date{Stand: \today}

\frontmatter
\maketitle
\tableofcontents

\mainmatter
% PArt 1 Grundlagen der Mathematik
\include{./TeX_files/chapter01_grundbegriffe_aus_mengenlehre_und_logik}
\include{./TeX_files/chapter02_aufbau_einer_math_theorie}
% Part 2 Zahlenbereiche
\include{./TeX_files/chapter03_nat_zahlen}
\include{./TeX_files/chapter04_ganze_u_rat_zahlen}
\include{./TeX_files/chapter05_reelle_zahlen}
\include{./TeX_files/chapter06_komplexe_zahlen}
% Part 3 Metrische Räume und Konvergenz
\include{./TeX_files/chapter07_grundl_ungleichungen}
\include{./TeX_files/chapter08_metr_raeume}
\include{./TeX_files/chapter09_konvergenz}
\include{./TeX_files/chapter10_vollst}
\include{./TeX_files/chapter11_kompaktheit}
\include{./TeX_files/chapter12_reihen}
% Part 4 Funktionen und Stetigkeit
\include{./TeX_files/chapter13_funktionen}

\backmatter
% bibliography, glossary and index would go here.

\end{document}