structure; ch1, ch2 beginnings

proseminar.sty

@@ -0,0 +1,109 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%              Required packages and command changes               %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%   required base packages   %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% language and encoding
+\RequirePackage[utf8]{inputenc}
+\RequirePackage[T1]{fontenc}
+\RequirePackage[ngerman]{babel}
+
+% BibLaTeX
+\RequirePackage[hyperref,style=apa]{biblatex}
+
+% math packages
+\RequirePackage{amsmath}   % general math
+\RequirePackage{amsthm}                         % theorems
+\RequirePackage{amssymb}                        % math symbols
+\RequirePackage{mathtools}                      % coloneqq: nice ligatures of := and =:
+\RequirePackage{stmaryrd}                       % lightning symbol
+
+% other packages
+\RequirePackage{enumerate}                      % for alphanumeric enumeration: (i), (ii), ...
+\RequirePackage{csquotes}                       % language dependent correct quote signs
+
+% use sans-serif font Computer Modern Bright
+\RequirePackage{cmbright}                       % sans-serif fonts looking cleaner
+\RequirePackage[lm]{sfmath}                     % bold math symbols in Latin Modern
+
+\DeclareRobustCommand{\sm@ller}{%
+    \dimen@\f@size\p@
+    \ifdim \dimen@ > 12\p@
+        4
+        \dimen@=0.83333\dimen@
+    \else
+        \advance \dimen@ -2\p@
+    \fi
+    \math@fontsfalse
+    \fontsize{\the\dimen@}\z@
+    \selectfont
+}
+\newcommand{\textc}[1]{{\sm@ller\uppercase{#1}}}
+
+
+% load late
+\RequirePackage{hyperref}                  % hyperref package for refs
+\hypersetup{
+    pdftitle={
+        tbd % TODO
+    },
+    pdfsubject={Skript zum Vortrag im Proseminar Algebra},
+    pdfauthor={Niklas Birk},
+    pdfkeywords={mathematics, calculus, analysis, linear algebra, ordinary differential equations, lecture notes, university}
+}
+
+\DeclareTextFontCommand{\emph}{\boldmath\bfseries}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%   new commands and math operatos  %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% common set symbols
+\newcommand{\RR}{\mathbb{R}}
+\newcommand{\CC}{\mathbb{C}}
+
+% common symbols
+\renewcommand{\i}{\mathrm{i}}
+\newcommand{\e}{\mathrm{e}}
+\renewcommand{\d}{\mathrm{d}}
+
+\renewcommand{\Re}{\mathrm{Re}\,}
+\renewcommand{\Im}{\mathrm{Im}\,}
+
+\renewcommand{\vec}[1]{\mathfrak{#1}}
+
+% use the more common variants of greek letters
+\renewcommand{\phi}{\varphi}
+\renewcommand{\epsilon}{\varepsilon}
+
+% symbols for differentiation and integral
+\newcommand{\dx}[1][x]{\ \d #1}                        % differential
+\newcommand{\dfdx}[2]{\frac{\d #1}{\d #2}}             % 1st derivative
+\newcommand{\ddfdx}[3]{\frac{\d^{#3} #1}{\d #2^{#3}}}  % nth derivative
+
+% sets of the form {...; ...}
+\newcommand{\set}[2]{\left\lbrace #1\ \middle|\ #2 \right\rbrace}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%   theorems, definitions, etc.   %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% style for definitions, unnumbered theorems: "Definition ([additional name]) \newline"
+\newtheoremstyle{break*}{}{}{\itshape}{}{\bfseries}{}{\newline}{\thmname{#1}~\thmnote{(#3)}}
+\theoremstyle{break*}
+\newtheorem*{definition}{Definition}
+
+% style for theorems, lemmata, propositions, corollary: "<counter> Theorem ([additional name]) \newline"
+\newtheoremstyle{break}{}{}{\itshape}{}{\bfseries}{}{\newline}{\thmname{#1}~\thmnumber{#2}~\thmnote{(#3)}}
+\theoremstyle{break}
+\newtheorem{theorem}{Satz}[section]
+\newtheorem{lemma}[theorem]{Lemma}
+\newtheorem{corollary}[theorem]{Folgerung}
+
+% style for examples: "Beispiel:"
+\newtheoremstyle{nobreak*}{}{}{\normalfont}{}{\bfseries}{}{ }{}
+\theoremstyle{nobreak*}
+\newtheorem*{example*}{Beispiel:}
+
+% proofs with bold name and qed at end
+\renewenvironment{proof}[1][\proofname]{\par\textbf{#1.} }{\nobreak\hfill\ensuremath{\blacksquare}}