236 lines
7.1 KiB
TeX
236 lines
7.1 KiB
TeX
\documentclass[11pt]{report}
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\usepackage[a4paper, total={6in, 8in}]{geometry}
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\usepackage{amsmath, amssymb, amstext, esint}
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\usepackage{amsthm, stackrel, xifthen, mathtools, graphicx}
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\usepackage[makeroom]{cancel}
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\usepackage{hyperref, cleveref, bbm}
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\usepackage{enumerate, subcaption, minitoc}
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\usepackage[shortlabels]{enumitem}
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\usepackage{multicol}
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\usepackage{tikz, pgfplots}
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\usepackage{kbordermatrix}
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\usepackage{fancyhdr}
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\usepackage{pdfpages}
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\graphicspath{assets}
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\usepackage{color}
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\usepackage{hyperref}
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colorlinks,
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citecolor=black,
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linkcolor=black,
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\usepackage[
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type={CC},
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modifier={by-sa},
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version={4.0},
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]{doclicense}
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\newcommand{\convinf}{\conv{n \rightarrow \infty}}
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\renewcommand{\kbrdelim}{)}
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\newcommand{\setfam}{\mathcal{A}}
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\newcommand{\setfamb}{\mathcal{B}}
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\newcommand{\curve}{\mathcal{C}}
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\newcommand{\measure}{(\Omega, \setfam, \mu)}
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\newcommand{\intervals}{\mathcal{I}}
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\newcommand{\bigo}{\mathcal{O}}
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\newcommand{\reader}{Left as an exercise for the reader.}
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\newcommand{\noproof}{Without proof.}
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\newcommand{\set}[2][]{%
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\left\{%
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#2%
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\ifthenelse{\isempty{#1}}%
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{}%
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{\,\middle|\, #1}%
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\right\}%
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}
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\newcommand{\equalexpl}[1]{%
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\underset{\substack{\big\uparrow\\\mathrlap{\text{\hspace{-1.5em}#1}}}}{=}}
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\newcommand{\leexpl}[1]{%
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\underset{\substack{\big\uparrow\\\mathrlap{\text{\hspace{-1.5em}#1}}}}{\le}}
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\newsavebox{\mathbox}\newsavebox{\mathquote}
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\makeatletter
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\newcommand{\mathquotes}[1]{% \mathquotes{<stuff>}
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\savebox{\mathquote}{\text{``}}% Save quotes
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\savebox{\mathbox}{$\displaystyle #1$}% Save <stuff>
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\raisebox{\dimexpr\ht\mathbox-\ht\mathquote\relax}{``}#1\raisebox{\dimexpr\ht\mathbox-\ht\mathquote\relax}{''}
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}
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\makeatother
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\newtheoremstyle{mydefinition} %
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{\topsep} %
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{} %
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{\bfseries} %
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{.} %
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{.5em} %
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{\llap{#2 }#1\ifthenelse{\isempty{#3}}{}{ \textnormal{(#3)}}} %
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\newtheoremstyle{myremark} %
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{\topsep} %
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{} %
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{\itshape} %
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{\llap{#2 }#1\ifthenelse{\isempty{#3}}{}{ \textnormal{(#3)}}} %
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\newtheoremstyle{mytheorem} %
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{\topsep} %
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{\topsep} %
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{\itshape} %
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{} %
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{\bfseries} %
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{.} %
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{.5em} %
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{\llap{#2 }#1\ifthenelse{\isempty{#3}}{}{ \textnormal{(#3)}}} %
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\theoremstyle{mydefinition}
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\newtheorem{defi}{Definition}[chapter]
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\theoremstyle{myremark}
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\newtheorem{eg}[defi]{Example}
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\newtheorem{rem}[defi]{Remark}
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\theoremstyle{mytheorem}
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\newtheorem{thm}[defi]{Theorem}
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\newtheorem{lem}[defi]{Lemma}
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\newtheorem{cor}[defi]{Corollary}
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\newenvironment{hproof}{%
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\renewcommand{\proofname}{Heuristic Proof}\proof}{\endproof}
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\renewcommand{\epsilon}{\varepsilon}
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\Crefname{defi}{Definition}{Definitions}
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\crefname{defi}{Def.}{Defs.}
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\Crefname{rem}{Remark}{Remarks}
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\crefname{rem}{Rem.}{Rems.}
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\Crefname{thm}{Theorem}{Theorems}
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\crefname{thm}{Thm.}{Thms.}
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\Crefname{lem}{Lemma}{Lemmas}
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\crefname{lem}{Lem.}{Lems.}
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\Crefname{cor}{Corollary}{Corollaries}
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\crefname{cor}{Cor.}{Cors.}
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\pgfplotsset{compat=1.17}
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\newcommand{\drawge}{-- (rel axis cs:1,0) -- (rel axis cs:1,1) -- (rel axis cs:0,1) \closedcycle}
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\newcommand{\drawle}{-- (rel axis cs:1,1) -- (rel axis cs:1,0) -- (rel axis cs:0,0) \closedcycle}
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\begin{document}
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\begin{titlepage}
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\begin{center}
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\vspace*{5cm}
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\Huge{Mathematics for Physicists}\\[1cm]
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\Large{\href{http://repos.einweckglas.com/Mathematics_for_Physicists}{View LaTeX on GitHub}}\\
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\Large{Alma Mater Lipsiensis}\\[0,5cm]
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\normalsize{\today} \\[7,5cm]
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\end{center}
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\doclicenseThis
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\end{titlepage}
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\dominitoc
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\tableofcontents
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\pagestyle{headings}
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\setcounter{chapter}{-1}
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\subfile{chapters/preface.tex}
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\subfile{chapters/FaN.tex}
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\subfile{chapters/real_analysis_1.tex}
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\subfile{chapters/linear_algebra.tex}
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\subfile{chapters/real_analysis_2.tex}
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\subfile{chapters/topo_of_metr_spaces.tex}
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\subfile{chapters/multivar_calc.tex}
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\subfile{chapters/measures_integrals.tex}
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\subfile{chapters/ode.tex}
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\subfile{chapters/int_submanifold.tex}
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\subfile{chapters/complex_analysis.tex}
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\subfile{chapters/fourier_transform.tex}
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\subfile{chapters/operator_theory.tex}
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\subfile{chapters/spectral_theory.tex}
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\end{document}
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