Maths projects

Learn LaTeX by example: report

If you store the latex_sample.tex file (also displayed below) and the lion.png image file in a directory and run
pdflatex latex_sample.tex
you will get a latex_sample.pdf output file which you can view or print.

latex_sample.tex

\documentclass[11pt]{report}


% To set margin width, text height, space for footnotes and all sorts
% of other settings related to the geometry of the pages in your
% report, use the 'geometry' package. 
%
% http://tug.ctan.org/cgi-bin/ctanPackageInformation.py?id=geometry

\usepackage[margin=2cm]{geometry}


% For inclusion of figures, use the 'graphicx' package. This allows
% you to later include a figure using '\includegraphics{filename}' and
% it will also for simple sizing of the figure in your text.
%
% http://tug.ctan.org/cgi-bin/ctanPackageInformation.py?id=graphicx

\usepackage{graphicx}


% You may want to add hyperlinks to your document, which can be tricky
% to typeset because they often have weird symbols in them which LaTeX
% interprets in its own way. Use 'hyperref' for this. It also has many
% options to add e.g. a list of thumbnails to your pdf file.
%
% http://tug.ctan.org/cgi-bin/ctanPackageInformation.py?id=hyperref

\usepackage{hyperref}



% Finally, for various useful tools for mathematics typesetting, use
% the 'amsmath' package with a few assorted companion packages which
% provide extra symbols.
%
% http://tug.ctan.org/cgi-bin/ctanPackageInformation.py?id=amsmath
% http://tug.ctan.org/cgi-bin/ctanPackageInformation.py?id=amssymb

\usepackage{amsmath}
\usepackage{amssymb}

% For figure/table caption settings.

%\usepackage{varwidth}
%\usepackage[noonelinecaption=true]{caption}



\begin{document}

% The 'article' document class provides a simple way to make a title
% page: 

\title{A report}
\author{Someone}
\maketitle

% A table of contents can be generated automatically as well:

\tableofcontents


% Now comes the true content. 

\chapter{A chapter on something}
\label{c:intro}
\section{A section}
\subsection{A sub-section}

Some text here. You can \emph{emphasise it} or {\bfseries make it
  bold-face} or {\large larger} or \emph{\bfseries\large combine those
  settings}. A random equation:
\begin{equation}
\label{e:Einstein1}
E=mc^2 \,.
\end{equation}
If you want to align equations, use either {\tt align} or {\tt
  aligned}. See the examples below. The difference is the way in which
the equation numbers are added. Here is the option with the two
equations receiving only one number:
\begin{equation}
\label{e:Einstein2}
\begin{aligned}
E &= mc^2  \\
i\hbar \frac{\partial}{\partial t} |\psi, t\rangle 
  &= \hat{H} |\psi,t\rangle\,,
\end{aligned}
\end{equation}
and here is the one where every equation gets its own number:
\begin{align}
\label{e:Einstein3}
E &= mc^2  \\
\label{e:Schroedinger}
i\hbar \frac{\partial}{\partial t} |\psi, t\rangle 
  &= \hat{H} |\psi,t\rangle\,,
\end{align}

\chapter{Another chapter}
\section{Again a section}

You can cite any paper or book which is in your bibliography list
(see below). Papers everyone should read are~\cite{Einstein:1935rr}
and \cite{Feynman:1948ur}.

You can refer to equations, such as~\eqref{e:Einstein3}, or to
chapters, such as~\ref{c:intro}, or figures, such as figure~\ref{f:lion}.

\begin{figure}[h]
\begin{center}
\includegraphics[width=.3\textwidth]{lion.png}
\end{center}
\caption{This is the lion which is the \TeX{} mascotte.\label{f:lion}}
\end{figure}


And here is a link to a web page: \url{http://www.google.com}.




% Finally the bibliography. You can cut and paste these entries
% straight from the SPIRES database (select one of the 'LaTeX' output
% options). 
%
% A better but more complicated way to do references is to use BiBTeX.

\begin{thebibliography}{50}
\bibitem{Einstein:1935rr}
  A.~Einstein, B.~Podolsky and N.~Rosen,
  ``Can quantum mechanical description of physical reality be considered
  complete?,''
  Phys.\ Rev.\  {\bf 47} (1935) 777.
  %%CITATION = PHRVA,47,777;%%

%\cite{Feynman:1948ur}
\bibitem{Feynman:1948ur}
  R.~P.~Feynman,
  ``Space-time approach to nonrelativistic quantum mechanics,''
  Rev.\ Mod.\ Phys.\  {\bf 20} (1948) 367.
  %%CITATION = RMPHA,20,367;%%
\end{thebibliography}

\end{document}