Mathematics_for_Physicists/script.tex

\documentclass[11pt]{report}
\usepackage{amsmath, amssymb, amstext, physics}
\usepackage{amsthm, stackrel, xifthen, mathtools}
\usepackage[makeroom]{cancel}
\usepackage{hyperref, cleveref}
\usepackage{enumerate, subcaption}
\usepackage[shortlabels]{enumitem}
\usepackage{multicol}
\usepackage{tikz}
\usepackage{kbordermatrix}
\usetikzlibrary{calc,trees,positioning,arrows,fit,shapes,angles}

\usepackage{color}
\usepackage{hyperref}
\hypersetup{
    colorlinks,
    citecolor=black,
    filecolor=black,
    linkcolor=black,
    urlcolor=black
}
\usepackage[
    type={CC},
    modifier={by-sa},
    version={4.0},
]{doclicense}

\usepackage{subfiles}

\DeclareMathOperator{\spn}{span}
%\DeclareMathOperator{\dim}{dim}
\DeclareMathOperator{\sgn}{sgn}

\newcommand{\natn}{\mathbb{N}}
\newcommand{\intn}{\mathbb{Z}}
\newcommand{\ratn}{\mathbb{Q}}
\newcommand{\realn}{\mathbb{R}}
\newcommand{\cmpln}{\mathbb{C}}
\newcommand{\field}{\mathbb{K}}

\newcommand{\rec}[1]{\frac{1}{#1}}
\newcommand{\idf}{\text{id}}
\newcommand{\inv}[1]{{#1}^{-1}}
\newcommand{\eqlbl}[1]{\stackrel{\text{#1}}{=}}
\newcommand{\implbl}[1]{\overset{\text{#1}}{\implies}}
\newcommand{\imag}{\imaginary}
\newcommand{\limn}{\lim_{n \rightarrow \infty}}
\newcommand{\limk}{\lim_{k \rightarrow \infty}}
\newcommand{\limz}{\lim_{n \rightarrow 0}}
\newcommand{\limsupn}{\limsup_{n \rightarrow \infty}}
\newcommand{\liminfn}{\liminf_{n \rightarrow \infty}}
\newcommand{\seq}[1]{(#1_n)}
\newcommand{\nseqdef}[1]{\seq{#1} \subset \natn}
\newcommand{\rseqdef}[1]{\seq{#1} \subset \realn}
\newcommand{\cseqdef}[1]{\seq{#1} \subset \cmpln}
\newcommand{\rcseqdef}[1]{\seq{#1} \subset \realn \text{ (or } \cmpln \text{)}}
\newcommand{\series}[2][\infty]{\sum_{#2 = 1}^{#1}}
\newcommand{\finite}{\text{ finite}}
\newcommand{\conj}[1]{\overline{#1}}

\newcommand{\conv}[1]{\xrightarrow{\makebox[2em][c]{$\scriptstyle#1$}}}
\newcommand{\convinf}{\conv{n \rightarrow \infty}}

\renewcommand{\kbldelim}{(}
\renewcommand{\kbrdelim}{)}

\newcommand{\reader}{Left as an exercise for the reader.}
\newcommand{\setvert}{\,\vert\,}
\newcommand{\set}[2][]{%
	\left\{%
		#2%
		\ifthenelse{\isempty{#1}}%
			{}%
			{\,\middle|\, #1}%
	\right\}%
}
\renewcommand{\innerproduct}[2]{\langle#1,#2\rangle}

\newcommand{\equalexpl}[1]{%
  \underset{\substack{\big\uparrow\\\mathrlap{\text{\hspace{-1.5em}#1}}}}{=}}
\newcommand{\leexpl}[1]{%
  \underset{\substack{\big\uparrow\\\mathrlap{\text{\hspace{-1.5em}#1}}}}{\le}}

\theoremstyle{definition}
\newtheorem{defi}{Definition}[chapter]

\theoremstyle{remark}
\newtheorem{eg}[defi]{Example}
\newtheorem{rem}[defi]{Remark}

\theoremstyle{plain}
\newtheorem{thm}[defi]{Theorem}
\newtheorem{lem}[defi]{Lemma}
\newtheorem{cor}[defi]{Corollary}

\newenvironment{hproof}{%
  \renewcommand{\proofname}{Heuristic Proof}\proof}{\endproof}
  
\Crefname{defi}{Definition}{Definitions}
\crefname{defi}{Def.}{Defs.}
\Crefname{rem}{Remark}{Remarks}
\crefname{rem}{Rem.}{Rems.}

\Crefname{thm}{Theorem}{Theorems}
\crefname{thm}{Thm.}{Thms.}
\Crefname{lem}{Lemma}{Lemmas}
\crefname{lem}{Lem.}{Lems.}
\Crefname{cor}{Corollary}{Corollaries}
\crefname{cor}{Cor.}{Cors.}

\begin{document}
\title{Mathematics for Physicists}
\author{https://www.github.com/Lauchmelder23/Mathematics}
\maketitle
\doclicenseThis
\tableofcontents

\subfile{chapters/FaN.tex}

\subfile{chapters/real_analysis_1.tex}

\subfile{chapters/linear_algebra.tex}

\end{document}