infra: LaTeX preamble, theorem environments, tcolorbox, build system

preamble.tex

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+% =============================================================================
+% preamble.tex — Differential Equations Handbook
+% =============================================================================
+% Complete preamble: packages, theorem styles, tcolorbox environments,
+% custom macros, and configuration for a 14-chapter handbook.
+% =============================================================================
+
+\documentclass[10pt,a4paper]{article}
+
+% ---------------------------------------------------------------------------
+% Geometry
+% ---------------------------------------------------------------------------
+\usepackage[margin=0.75in]{geometry}
+
+% ---------------------------------------------------------------------------
+% Math packages
+% ---------------------------------------------------------------------------
+\usepackage{mathtools}
+\usepackage{amsthm}
+\usepackage{amssymb}
+\usepackage{amsfonts}
+\usepackage{bm}
+\usepackage{empheq}
+
+% ---------------------------------------------------------------------------
+% Colors and boxes
+% ---------------------------------------------------------------------------
+\usepackage[svgnames]{xcolor}
+\usepackage[most]{tcolorbox}
+
+% ---------------------------------------------------------------------------
+% Nomenclature (notation glossary)
+% ---------------------------------------------------------------------------
+\usepackage{nomencl}
+\makenomenclature
+\setlength{\nomlabelwidth}{2.5cm}
+\setlength{\nomitemsep}{2pt}
+
+% ---------------------------------------------------------------------------
+% Tables
+% ---------------------------------------------------------------------------
+\usepackage{booktabs}
+
+% ---------------------------------------------------------------------------
+% TikZ
+% ---------------------------------------------------------------------------
+\usepackage{tikz}
+\usetikzlibrary{calc}
+\usetikzlibrary{arrows.meta}
+\usetikzlibrary{patterns}
+\usetikzlibrary{decorations.markings}
+
+% ---------------------------------------------------------------------------
+% Hyperref (loaded before cleveref)
+% ---------------------------------------------------------------------------
+\usepackage[colorlinks=true,
+            linkcolor=MidnightBlue,
+            urlcolor=Navy,
+            citecolor=RoyalBlue,
+            breaklinks=true]{hyperref}
+
+% ---------------------------------------------------------------------------
+% Cross-referencing (must be after hyperref)
+% ---------------------------------------------------------------------------
+\usepackage[capitalize]{cleveref}
+
+% =============================================================================
+% Theorem styles (amsthm)
+% =============================================================================
+% Number theorems, definitions, and remarks per chapter (section).
+
+\newtheorem{theorem}{Theorem}[section]
+\newtheorem{lemma}[theorem]{Lemma}
+\newtheorem{proposition}[theorem]{Proposition}
+\newtheorem{corollary}[theorem]{Corollary}
+
+\theoremstyle{definition}
+\newtheorem{definition}[theorem]{Definition}
+
+\theoremstyle{remark}
+\newtheorem{remark}[theorem]{Remark}
+
+% =============================================================================
+% tcolorbox environments
+% =============================================================================
+
+% Worked Example — blue frame
+\newtcolorbox{workedexample}{
+  breakable,
+  colframe=SteelBlue,
+  colback=LightSteelBlue!15,
+  coltitle=white,
+  fonttitle=\bfseries,
+  title=Worked Example,
+  boxrule=0.6pt,
+  arc=2pt,
+  left=6pt, right=6pt, top=4pt, bottom=4pt
+}
+
+% Exercise — gray frame
+\newtcolorbox{exercise}{
+  breakable,
+  colframe=Gray,
+  colback=LightGray!10,
+  coltitle=white,
+  fonttitle=\bfseries,
+  title=Exercise,
+  boxrule=0.5pt,
+  arc=2pt,
+  left=6pt, right=6pt, top=4pt, bottom=4pt
+}
+
+% Key Result — gold/yellow frame
+\newtcolorbox{keyresult}{
+  breakable,
+  colframe=Goldenrod,
+  colback=LemonChiffon!25,
+  coltitle=black,
+  fonttitle=\bfseries,
+  title=Key Result,
+  boxrule=0.8pt,
+  arc=2pt,
+  left=6pt, right=6pt, top=4pt, bottom=4pt
+}
+
+% Hint — green frame
+\newtcolorbox{hintbox}{
+  breakable,
+  colframe=ForestGreen,
+  colback=Honeydew!40,
+  coltitle=white,
+  fonttitle=\bfseries,
+  title=Hint,
+  boxrule=0.6pt,
+  arc=2pt,
+  left=6pt, right=6pt, top=4pt, bottom=4pt
+}
+
+% =============================================================================
+% Custom macros
+% =============================================================================
+
+% Differentials
+\newcommand{\diff}{\mathrm{d}}
+\newcommand{\dd}{\mathrm{d}}
+
+% Partial derivative shorthand
+\newcommand{\pd}[2]{\frac{\partial #1}{\partial #2}}
+
+% Number sets
+\newcommand{\R}{\mathbb{R}}
+\newcommand{\N}{\mathbb{N}}
+\newcommand{\C}{\mathbb{C}}
+
+% Operators
+% Note: \Re and \Im are already provided by amsmath; no need to redefine.
+\DeclareMathOperator{\tr}{tr}
+\DeclareMathOperator{\detop}{det}
+\DeclareMathOperator{\spanop}{span}
+\DeclareMathOperator{\kerop}{ker}
+\DeclareMathOperator{\rankop}{rank}
+
+% =============================================================================
+% Additional setup
+% =============================================================================
+
+% Table of contents depth
+\setcounter{tocdepth}{2}
+
+% Cleveref naming
+\crefname{theorem}{Theorem}{Theorems}
+\crefname{lemma}{Lemma}{Lemmas}
+\crefname{proposition}{Proposition}{Propositions}
+\crefname{corollary}{Corollary}{Corollaries}
+\crefname{definition}{Definition}{Definitions}
+\crefname{remark}{Remark}{Remarks}
+\crefname{equation}{equation}{equations}
+\crefname{section}{section}{sections}
+\crefname{figure}{figure}{figures}
+\crefname{table}{table}{tables}
+
+% =============================================================================
+% End of preamble.tex
+% =============================================================================