2017-12-07 20:57:04 +01:00
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\documentclass[11pt, oneside]{book}
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2017-11-30 13:01:44 +01:00
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\usepackage[a4paper,left=2cm,right=2cm,top=2cm,bottom=4cm,bindingoffset=5mm]{geometry}
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\usepackage[utf8]{inputenc}
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\usepackage{paralist}
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\usepackage{booktabs}
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\usepackage{graphicx}
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\usepackage[ngerman]{babel}
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% math/enviroments
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\usepackage{mathtools,bm}
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\usepackage{stmaryrd} % Widerspruch symbol
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\usepackage{amssymb}
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\usepackage{framed}
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\usepackage[framed, hyperref, thmmarks, amsmath]{ntheorem}
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\usepackage[framemethod=tikz]{mdframed}
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\usepackage[autostyle]{csquotes}
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\usepackage{lipsum}
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\usepackage{enumerate}
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\usepackage{titlesec} % remove page break
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2017-11-30 13:01:44 +01:00
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2017-12-01 02:36:12 +01:00
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%theorem enviroment
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%theorem
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\newframedtheorem{theorem}{Theorem}[chapter]
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% example
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\theoremstyle{break}
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\newtheorem*{exmp}{Beispiel}
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\theoremstyle{break}
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\newtheorem{exmpn}[theorem]{Beispiel}
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% defintion
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\newframedtheorem{mydef}[theorem]{Definition}
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% corollary
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\newtheorem{folg}[theorem]{Folgerung}
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% remark
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\newtheorem*{remark}{Bemerkung}
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% satz
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\newframedtheorem{satz}[theorem]{Satz}
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% beweis
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\newtheorem*{proof}{Beweis}
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% lemma
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\newtheorem{lem}[theorem]{Lemma}
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2017-11-30 13:01:44 +01:00
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%General newcommands!
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\newcommand{\comp}{\mathbb{C}} % complex set C
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\newcommand{\real}{\mathbb{R}} % real set R
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\newcommand{\whole}{\mathbb{Z}} % whole number Symbol
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\newcommand{\natur}{\mathbb{N}} % natural number Symbol
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\newcommand{\ratio}{\mathbb{Q}} % rational number symbol
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\newcommand{\field}{\mathbb{K}} % general field for the others above!
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\newcommand{\diff}{\mathrm{d}} % differential d
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\newcommand{\s}{\,\,} % space after the function in the intergral
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\newcommand{\cont}{\mathcal{C}} % Contour C
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\newcommand{\fuk}{f(z) \s\diff z} % f(z) dz
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\newcommand{\funk}{f(z)} % f(z)
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\newcommand{\diffz}{\s\diff z}
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\newcommand{\subint}{\int\limits} % lower boundaries for the integral
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\newcommand{\poly}{\mathcal{P}} % special P - polygon
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\newcommand{\defi}{\mathcal{D}} % D for the domain of a function
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\newcommand{\cover}{\mathcal{U}} % cover for a set
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\newcommand{\setsys}{\mathcal{M}} % set system M
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\newcommand{\setnys}{\mathcal{N}} % set system N
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\newcommand{\zetafunk}{f(\zeta)\s\diff \zeta} %f(zeta) d zeta
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\newcommand{\ztfunk}{f(\zeta)} % f(zeta)
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\newcommand{\bocirc}{S_r(z)}
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\newcommand{\prop}{\,|\,}
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\newcommand*{\QEDA}{\hfill\ensuremath{\blacksquare}} %tombstone
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\newcommand{\emptybra}{\{\varnothing\}} % empty set with set-bracket
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\newcommand{\series}{(a_n)_{n\in\natur}} % series a_n€|N
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\newcommand{\seriesa}{(a_n)} % short for \seriesa
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\newcommand{\seriesb}{(b_n)} % with b
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\newcommand{\seriesc}{(c_n)} % with c
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\newcommand{\seriesk}{(a_k)} % a with k
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\newcommand{\varepz}{\varepsilon > 0}
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\newcommand{\realpos}{\real_{>0}}
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\newcommand{\realposr}{\real_{\geq0}}
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\newcommand{\naturpos}{\natur_{>0}}
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\newcommand{\Imag}{\operatorname{Im}} % Imaginary symbol
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\newcommand{\Realz}{\operatorname{Re}} % Real symbol
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\newcommand{\norm}{\| \cdot \|}
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\newcommand{\limn}{\lim\limits_{n\to\infty}}
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\newcommand{\limk}{\lim\limits_{k\to\infty}}
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\newcommand{\half}{\frac{1}{2}} % 1/2
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\newcommand{\halfn}{\frac{1}{n}} % 1/n
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\newcommand{\halftri}{\frac{1}{3}} % 1/3
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\newcommand{\sumkk}{\sum_{k=0}^{\infty}} % sum from k=0 to \infty
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\newcommand{\sumkkone}{\sum_{k=0}^{\infty}} % sum from k=1 to \infty
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\newcommand{\sumk}{\textstyle \sum_{k}} % shortform of k=0 to \infty
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\newcommand{\foralln}{\forall n} %all n
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\newcommand{\forallnset}{\forall n \in \natur} %all n € |N
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\newcommand{\forallnz}{\forall n \geq _0} % all n >= n_0
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\newcommand{\metric}{(X,d)} % metric space symbol
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\newcommand{\metricsym}{|\cdot|} % |*|
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\newcommand{\conjz}{\overline{z}} % conjugated z
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\newcommand{\tildz}{\tilde{z}} % different z
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\newcommand{\lproofar}{"`$ \Lightarrow $"'} % "`<="'
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\newcommand{\rproofar}{"`$ \Rightarrow $"'} % "`=>"'
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\newcommand{\rangen}{1,\dots,n} % 1,...,n
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\newcommand{\dotsco}{,\dots,} % ,...,
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\newcommand{\expon}{\mathrm{exp}}
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2017-12-07 20:57:04 +01:00
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% Hack page break on part page.
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\titleclass{\part}{top}
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\titleformat{\part}[display]
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{\normalfont\huge\bfseries}{\centering\partname\ \thepart}{20pt}{\Huge\centering}
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\titlespacing*{\part}{0pt}{50pt}{40pt}
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\titleclass{\chapter}{straight}
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\titleformat{\chapter}[display]
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{\normalfont\huge\bfseries}{\chaptertitlename\ \thechapter}{20pt}{\LARGE}
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\titlespacing*{\chapter} {0pt}{50pt}{40pt}
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2017-12-01 13:14:59 +01:00
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\setlength\parindent{0pt} % noindent whole file!
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2017-11-30 13:01:44 +01:00
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\begin{document}
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\title{\textbf{Analysis 1. Semester (WS2017/18)}}
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\author{Dozent: Prof. Dr. Friedemann Schuricht\\
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Kursassistenz: Moritz Schönherr}
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\date{Stand: \today}
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\frontmatter
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\maketitle
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\tableofcontents
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\mainmatter
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% PArt 1 Grundlagen der Mathematik
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\include{./TeX_files/chapter01_grundbegriffe_aus_mengenlehre_und_logik}
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\include{./TeX_files/chapter02_aufbau_einer_math_theorie}
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% Part 2 Zahlenbereiche
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\include{./TeX_files/chapter03_nat_zahlen}
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\include{./TeX_files/chapter04_ganze_u_rat_zahlen}
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\include{./TeX_files/chapter05_reelle_zahlen}
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\include{./TeX_files/chapter06_komplexe_zahlen}
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% Part 3 Metrische Räume und Konvergenz
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\include{./TeX_files/chapter07_grundl_ungleichungen}
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\include{./TeX_files/chapter08_metr_raeume}
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%\include{./TeX_files/chapter09_konvergenz}
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%\include{./TeX_files/chapter10_vollst}
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%\include{./TeX_files/chapter11_kompaktheit}
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%\include{./TeX_files/chapter12_reihen}
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%\part{Funktionen und Stetigkeit}
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%\include{./TeX_files/chapter13_funktionen}
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\backmatter
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% bibliography, glossary and index would go here.
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\end{document}
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