%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% CSULA Math Department Thesis Template
%
% Version 3 May 2012
%
% You should, of course, insert your own content
% into this template and delete what is not needed.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\documentclass[12pt,openany,oneside]{book}
\usepackage{amsmath,amsthm,amssymb} % Useful AMS stuff
\usepackage{graphicx}
% graphicx: Standard package to allow inclusion of
% graphics. Delete if not needed.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Showkeys.sty
%
% A useful package that puts theorem, equation, chapter, and
% bibliography labels on the typset version of your thesis.
% Makes it easier to keep track of references. Uncomment this
% line during the editing process.
% \usepackage{showkeys}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Margins for CSULA Thesis
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\setlength{\oddsidemargin}{.25in}
\setlength{\evensidemargin}{.25in}
\setlength{\topmargin}{0in}
\setlength{\headsep}{0in}
\setlength{\headheight}{0in}
\setlength{\textheight}{9in}
\setlength{\textwidth}{6in}
\setlength{\parindent}{.5in}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Pagination
%
% The following puts page numbers at the
% bottom of each page.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\pagestyle{plain}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Double spacing - required for CSULA Thesis
% The \arraystretch command restores single spacing for array and matrix environments.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\renewcommand{\baselinestretch}{2}
\renewcommand{\arraystretch}{0.5}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Theorem, proposition, corollary, lemma,
% remark and definition environments.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newtheorem{theorem}{Theorem}[chapter]
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{definition}[theorem]{Definition}
% \newtheorem{alg}[theorem]{Algorithm} %% If needed
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% The following commands are useful for referring
% to labelled theorems, propositions, figures, etc.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\tref}[1]{Theorem~\textup{\ref{#1}}}
\newcommand{\pref}[1]{Proposition~\textup{\ref{#1}}}
\newcommand{\cref}[1]{Corollary~\textup{\ref{#1}}}
\newcommand{\lref}[1]{Lemma~\textup{\ref{#1}}}
\newcommand{\rref}[1]{Remark~\textup{\ref{#1}}}
\newcommand{\dref}[1]{Definition~\textup{\ref{#1}}}
\newcommand{\fref}[1]{Figure~\textup{\ref{#1}}}
\newcommand{\tbref}[1]{Table~\textup{\ref{#1}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% The library's preferred names for headings.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\renewcommand{\contentsname}{TABLE OF CONTENTS}
\renewcommand{\bibname}{REFERENCES}
\renewcommand\chaptername{CHAPTER}
\renewcommand{\listfigurename}{LIST OF FIGURES}
\renewcommand{\listtablename}{LIST OF TABLES}
\renewcommand\appendixname{APPENDIX}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Table of Contents
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makeatletter
\renewcommand\l@part{\@dottedtocline{-1}{0em}{2.3em}}
\renewcommand\l@chapter{\@dottedtocline{0}{1.5em}{2.3em}}
\renewcommand\l@section{\@dottedtocline{1}{3.8em}{3.2em}}
\renewcommand\l@subsection{\@dottedtocline{2}{7.0em}{4.1em}}
% This just puts a period after chapter, section numbers in the TOC
\renewcommand\numberline[1]{\hb@xt@\@tempdima{#1.\hfil}}
% Suppress extra space between chapters in List of Figures and
% List of Tables
\renewcommand\addvspace[1]{}
\makeatother
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Chapter and section headings
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makeatletter
\def\@makechapterhead#1{%
{\parindent \z@ \centering\normalfont
\ifnum \c@secnumdepth >\m@ne
\if@mainmatter
\@chapapp\space \thechapter
\par\nobreak
\vskip 20\p@
\fi
\fi
\interlinepenalty\@M
#1\par\nobreak
\vskip 40\p@
}}
\def\@makeschapterhead#1{
{\parindent \z@ \centering
\normalfont
\interlinepenalty\@M
#1\par\nobreak
\vskip 40\p@
}}
\renewcommand\section{\@startsection {section}{1}{\z@}
{-3.5ex \@plus -1ex \@minus -.2ex}
{2.3ex \@plus.2ex}
{\centering\normalfont\bfseries}}
\renewcommand\subsection{\@startsection{subsection}{2}{\z@}
{-3.25ex\@plus -1ex \@minus -.2ex}
{1.5ex \@plus .2ex}
{\normalfont\bfseries}}
\renewcommand\subsubsection{\@startsection{subsubsection}{3}{.55in}
{-3.25ex\@plus -1ex \@minus -.2ex}
{1.5ex \@plus .2ex}
{\normalfont\normalsize\bfseries}}
\makeatother
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% A command for typesetting a signature line.
% Its syntax is \sigline{length}{above}{below} with
% length = length of the line e.g. 2in
% above = text to go above the line
% below = text to go below the line
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\sigline}[3]{\leavevmode\vtop{\vtop{\hbox{\textbf{#2}}\smallskip}\hrule width #1\smallskip\hbox{#3}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Front matter macros
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makeatletter
\newcommand{\thesisdate}[3]{\def\@year{#1}\def\@month{#2}\def\@day{#3}}
\newcommand{\chair}[1]{\def\@chair{#1}}
\newcounter{members}% Counter for the number of committee members
\setcounter{members}{0}
\newcommand\member[1]{
\ifcase\value{members}
\def\@memberA{#1} \or \def\@memberB{#1} \or \def\@memberC{#1} \or \def\@memberD{#1}
\fi
\addtocounter{members}{1}
}
% APPROVAL GS-13
\newcommand{\makeapproval}{
\thispagestyle{empty}
\centerline{\textbf{APPROVAL PAGE FOR GRADUATE THESIS OR PROJECT}}
\hfill GS-13
\bigskip
\vbox{\baselineskip=17pt %% Single spacing needed for this paragraph only!
\noindent\raggedright SUBMITTED IN PARTIAL FULFILLMENT OF REQUIREMENTS FOR DEGREE
OF MASTER OF SCIENCE AT CALIFORNIA STATE UNIVERSITY, LOS ANGELES BY}
\vspace{.4in}
\hfill\sigline{2.25in}{\@author}{Candidate}
\vspace{.4in}
\hfill\sigline{2.25in}{Mathematics}{Department}
\vfill
% A clumsy way of centering title between the word TITLE: and right margin...
\newlength{\templengthA}
\newlength{\templengthB}
\setlength{\templengthA}{\textwidth}
\settowidth{\templengthB}{TITLE:}
\addtolength{\templengthA}{-\templengthB}
\noindent TITLE:\parbox[t]{\templengthA}{\centering
\textbf{\expandafter\expandafter\expandafter\uppercase\expandafter{\@title}}}% wow, ugly way to convert to uppercase!
\vfill
\noindent\rlap{APPROVED:}\hspace{1.1in}\sigline{2.25in}{\@memberA}{Committee Chairperson}\hfill\sigline{2.25in}{}{Signature}
\ifnum\c@members>1 \vspace{.4in}\noindent\hspace{1.1in}\sigline{2.25in}{\@memberB}{Faculty Member}\hfill\sigline{2.25in}{}{Signature}\fi
\ifnum\c@members>2 \vspace{.4in}\noindent\hspace{1.1in}\sigline{2.25in}{\@memberC}{Faculty Member}\hfill\sigline{2.25in}{}{Signature}\fi
\ifnum\c@members>3 \vspace{.4in}\noindent\hspace{1.1in}\sigline{2.25in}{\@memberD}{Faculty Member}\hfill\sigline{2.25in}{}{Signature}\fi
\vspace{.4in}\noindent\hspace{1.1in}\sigline{2.25in}{\@chair}{Department Chairperson}\hfill\sigline{2.25in}{}{Signature}
\vfill\noindent DATE: \textbf{\@month\ \@day, \@year} % Presumably the date of the oral exam
}
% TITLE PAGE
\newcommand{\maketitlepage}{
\thispagestyle{empty}
\vspace*{0pt}%Weird. This moves the thesis title 30pt down. Wonder why.
\begin {center}
\uppercase{{\expandafter\expandafter\expandafter\uppercase\expandafter{\@title}}}\\% Title in caps here
\vskip 48pt plus0pt minus18pt
\normalsize \rm A Thesis\\
Presented to\\
The Faculty of the Department of Mathematics\\
California State University, Los Angeles\\
\vfill
In Partial Fulfillment \\
of the Requirements for the Degree \\
Master of Science
\vfill
By\\
\@author \\
\@month\ \@year
\end {center}
}
% COPYRIGHT
\newcommand\makecopyright{
\newpage
\ \vfill
\begin{center}
\copyright~\@year \\
\@author\\
ALL RIGHTS RESERVED
\end{center}}
% ACKNOWLEDGMENTS
\newcommand{\makeacknowledgments}{
\newpage
\addcontentsline{toc}{part}{Acknowledgments}
\begin{center}
ACKNOWLEDGMENTS\\
\end{center}\par}
% ABSTRACT
\newcommand{\makeabstract}{
\newpage
\addcontentsline{toc}{part}{Abstract}
\begin{center}
ABSTRACT\\
\@title\\
By\\
\@author
\end{center}
\par}
\makeatother
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% By uncommenting the next two lines you can stop LaTeX from
% putting linebreaks in the middle of inline math. Such
% linebreaks are ugly, but are sometimes unavoidable. If you
% uncomment these lines, you may find that you get a lot more
% overfull boxes when you typeset. It would be preferable to
% eliminate these overfull boxes by editing the LaTeX file
% rather than allowing a linebreak in the middle of an
% equation.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \relpenalty=10000
% \binoppenalty=10000
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% The following two commands change how the numbers in
% enumerate environments are displayed. See Lemma 2.2 for
% more information.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\renewcommand{\labelenumi}{\textup{(\theenumi)}}
\renewcommand{\labelenumii}{\textup{(\theenumii)}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Useful abbreviations for the standard symbols for the
% integers, the rationals, the real and complex numbers. You
% can add your own commands to this list.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\N}{\mathbb{N}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Thesis Starts Here
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\author{John Q.~Student}%
\title{A Thesis with a Long Title\\Requiring Two Lines}% Mixed upper and lower case here
\thesisdate{2012}{June}{30}% {Year}{Month}{Date}
\member{A.~Committee Chair}
\member{B.~Professor}
\member{C.~Professor}
% \member{D.~Professor}
\chair{A.~Department Chair}
\begin{document}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Approval Page GS-13
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makeapproval
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Title Page
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\frontmatter% starts lowercase roman page numbering
\maketitlepage
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright Page
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makecopyright
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Acknowledgments
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makeacknowledgments
Acknowledgments go here if needed. Can you see the
difference between the spacings after the periods in the
following?
Thanks to Dr. Brookfield. Thanks to Dr.~Brookfield.
\noindent It's subtle, but the space after the third period
is less than the space after the other periods in this
sentence. Normally \LaTeX\ assumes that a period is the end
of a sentence and adds a bit of extra space before the start
of the next sentence. This is not you want after ``Dr.''
and it can be avoided by using a tilde \verb|~| after the
period. The above example was made from
\begin{verbatim}
Thanks to Dr. Brookfield. Thanks to Dr.~Brookfield.
\end{verbatim}
The tilde in \verb|Dr.~Brookfield| also means that \LaTeX\
will not split ``Dr.'' and ``Brookfield'' across lines.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Abstract
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\makeabstract
The abstract should be 150 words or less. The library
templates seem to be inconsistent on whether or not the
thesis title should be uppercase or not. Avoid mathematical
jargon and complicated formulas that cannot be understood by
the associate dean.
At the same time you submit the thesis electronically, you
will independently cut and paste the abstract into the
submission form on the web. This makes it possible to
search for keywords in your abstract. In addition, the
abstract can be displayed and printed independently of the
thesis. If you use any mathematical symbols in your
abstract, they may get lost in the submission process.
See\\
\verb|www.etdadmin.com/GlobalTemplates/ETDAdmin/StudentHelp/abstracts.html|\\
for information about this issue.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Table of Contents
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\tableofcontents
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% List of Tables
%
% Delete the following two lines if your thesis has no tables.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newpage\addcontentsline{toc}{part}{List of Tables}%
\listoftables
\addtocontents{lot}{\noindent Table\par}% Puts the word "Table" in List of Tables
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% List of Figures
%
% Delete the following three lines if your thesis has no figures.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newpage\addcontentsline{toc}{part}{List of Figures}%
\listoffigures
\addtocontents{lof}{\noindent Figure\par}% Puts the word "Figure" in List of Figures
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Chapter 1
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\mainmatter% starts arabic page numbering
\addtocontents{toc}{\noindent Chapter\par}% Puts the word "Chapter" in Table of Contents
\chapter{How to Use this Thesis Template}
In theory, you can take this template, insert your own
title, abstract, chapters, graphics, committee member names,
etc.~and then not have to worry about the margins,
pagination, the formats of the title page, copyright page,
references, appendices, etc.
This template is based of the \LaTeX\ book document class,
so the thesis is divided into front matter and main matter.
The front matter includes the GS-13 Approval form, Title
page, Copyright page, Acknowledgments, Abstract, Table of
Contents, List of Tables and List of Figures. The first
three of these are generated automatically by this template,
except that you will have to enter some names, dates and the
title of your thesis. Look for the following lines in the
template and edit:
\bigskip{\renewcommand{\baselinestretch}{1}
\begin{verbatim}
\author{John Q.~Student}%
\title{A Thesis with a Long Title\\Requiring Two Lines}
\thesisdate{2012}{June}{30}% {Year}{Month}{Date}
\member{A.~Committee Chair}
\member{B.~Professor}
\member{C.~Professor}
% \member{D.~Professor}
\chair{A.~Department Chair}
\end{verbatim}
}
The thesis title should be mixed upper and lower case in the
\verb|\title| command. It will be converted to all caps for the
Approval and Title pages, and left as is for the Abstract.
The template allows for two, three or four committee
members---just add or delete \verb|\member{...}| lines as
needed. Front matter pages are numbered i, ii, iii, etc.,
except that the first page, the Title page, gets no number,
and the GS-13 Approval page is not really part of the thesis
--- for page counting purposes anyhow.
The main matter is divided into chapters. Each chapter
begins with the command \verb|\chapter{Chapter Name}|.
\LaTeX\ worries about the numbering of the chapters and
generating of a Table of Contents entry. Information about
how theorems, lemmas, sections, subsections and figures are
numbered and used is available in later chapters and in the
\LaTeX\ file itself.
The university requires that all text in the thesis be 12pt
- including heads. This is not the default format in the
book document class. So this template redefines the
commands formatting chapter and section headings. It also
changes the way chapters, sections, etc. are listed in the
Table of Contents.
If you print out this template, the lines at the top and
bottom of this page should be exactly \( 6.0 \) inches long,
\( 1.25 \) inches from the left side of the page, and \(
1.25 \) inches from the right side of the page. They should
be \( 1 \) inch from the top and bottom of the paper. If
this is not the case for your output, you should check that
your printer is set up right, turning off any page scaling
that is available in the printer dialog (.pdf viewers seem
more likely to have such scaling options). Also make sure
that your \LaTeX\ program is set for \( 8\frac12\times11 \)
inch (i.e. US Letter) paper.
\begin{figure}[!tp]\hrule\ \end{figure}
\vfill
\hrule
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Chapter 2
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{Theorems, Propositions, Lemmas, etc.}
The library expects chapter names to be in lower case as
above. The first line of a chapter or a section is never
indented. (I wonder if the library will object.) Here is a
numbered equation to start the second chapter:
\begin{equation}\label{eq0}
x= \rho\tau - \rho^2\sin \frac{\tau}{\rho} \quad\text{ and }\quad
y=\rho^2\left( 1 - \cos \frac{\tau}{\rho} \right)
\end{equation}
This equation cannot be found in \cite{fox} or in
\cite[Chapter 1]{kappe}. This template provides
environments for theorems, propositions, corollaries,
lemmas, remarks and definitions. For example:
\begin{theorem}\label{th1}
Here is a theorem. Theorems and similar environments are
set in italic.
\end{theorem}
\begin{proof}
Here's the proof of \tref{th1} with a reference to
equation~\eqref{eq0} and the same equation~\eqref{eqappB} in
an appendix.
\end{proof}
\tref{th1} and its proof were created by
\bigskip{\renewcommand{\baselinestretch}{1}
\begin{verbatim}
\begin{theorem}\label{th1}
Here is a theorem. Theorems and similar environments are
set in italic.
\end{theorem}
\begin{proof}
Here's the proof of \tref{th1} with a reference to
equation~\eqref{eq0} and the same equation~\eqref{eqappB} in
the appendix.
\end{proof}
\end{verbatim}
}
See the \LaTeX\ file for an explanation of the \verb|\tref|
command. The other environments are made
similarly---replacing the word \verb|theorem| by
\verb|proposition|, \verb|corollary|, \verb|lemma|,
\verb|remark| or \verb|definition|.
\begin{lemma}
Here is a lemma containing a list made with
\verb|\begin{enumerate}| and \verb|\end{enumerate}|.
\begin{enumerate}
\item This enumerated list has three items.
\item Since this list is inside a \verb|lemma|
environment, the items would normally be numbered as 1.,
2., 3. This looks terribly wrong. The template changes
the enumeration to \textup{(1)}, \textup{(2)},
\textup{(3)} instead.
\item
\begin{enumerate}
\item A subenumeration with two items numbered as
\textup{(a)}, \textup{(b)}, rather than (a), (b),
which is the default.
\item The second item in the subenumeration.
\end{enumerate}
\end{enumerate}
\end{lemma}
\begin{theorem}
Here is another theorem.
\end{theorem}
\begin{remark}
And now a remark.
\end{remark}
Note that theorems, propositions, corollaries, lemmas,
remarks and definitions are numbered together within each
chapter. Equations are numbered within each chapter,
independently of theorems, propositions, etc.
\section{A Section}
Here is a section within Chapter~2. Sections are numbered
within the chapter, but independently of theorems and
equations. Here is the second numbered equation in this
chapter.
\begin{equation}\label{eq1}
x= \rho\tau - \rho^2\sin \frac{\tau}{\rho} \quad\text{ and }\quad
y=\rho^2\left( 1 - \cos \frac{\tau}{\rho} \right)
\end{equation}
\begin{lemma}
Here is another lemma---numbered within the chapter not
the section.
\end{lemma}
\subsection{A Subsection Name Containing Mathematics: $\Phi_n(x)$.}
This is a subsection. It is numbered within its section.
Note that the math in the subsection name is written with
dollar signs, \verb|$\Phi_n(x)$|, rather than
\verb|\(\Phi_n(x) \)|. This is a general rule for chapter, section,
and subsections names, as well as for figure and table
captions. But then maybe you already use dollar signs for
all your math, contrary to the \LaTeX\ philosophy.
\subsubsection{A Subsubsection}
I can't imagine why it would be needed, but this is a
subsubsection. Subsections are not numbered and do not
appear in the Table of Contents.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Chapter 3
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{Graphics}
Here is an example of a graphic inserted into the document:
The graphic is in the file \verb|cycloid.pdf| in Portable
Document Format. The package \verb|graphicx| that was
loaded at the beginning of this \LaTeX\ file is needed to
make the insertion of graphics work right.
\[ \includegraphics{cycloid}
\begin{picture}(0,0)
\put(-255,107){\( A \)}
\put(-100,36){\( B \)}
\end{picture}
\]
The symbols \( A \) and \( B \) are not part of the graphic.
They are put on top of the graphic by \LaTeX\ in a
\verb|picture| environment. This seems to be the only way
to guarantee that the symbols in the graphic are identical
in size, font and weight to the same symbols in the text.
Here's how this graphic was created:
\bigskip{\renewcommand{\baselinestretch}{1}
\begin{verbatim}
\[ \includegraphics{cycloid}
\begin{picture}(0,0)
\put(-255,107){\( A \)}
\put(-100,36){\( B \)}
\end{picture}
\]
\end{verbatim}
}
WARNING: The library seems to prefer that all graphics are
placed in \verb|figure| environments as described in the
next chapter.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Chapter 4
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{Figures and Tables}
Figures and tables are floating bodies, meaning that they
will appear (usually) at the top or the bottom of a page,
independent of where they appear in the source. They are
also numbered, have captions, and are listed in the List of
Figures or List of Tables right after the Table of Contents.
Fortunately \LaTeX\ does most of the work. If you do not
have figures or tables in your thesis, delete the relevant
parts of this template.
Here is an example of a figure made using
\bigskip{\renewcommand{\baselinestretch}{1}
\begin{verbatim}
\begin{figure}[tbp]
\centering
\includegraphics{cycloid}
\caption{A floating figure with a caption.}
\label{fig1} %% \label needs to follow \caption
\end{figure}
\end{verbatim}
}
\begin{figure}[tbp]
\centering
\includegraphics{cycloid}
\caption{A floating figure with a caption.}
\label{fig1} %% \label needs to follow \caption
\end{figure}
\fref{fig1} is a float---it moves to the top or to the
bottom of the page independent of where it is in the text.
This is what you might want for a large table or graphic
that would otherwise cause page break problems. But this is
probably not what you want for a small graphic such as
\fref{fig1}. To make \LaTeX\ put the figure within the text
surrounding the \verb|figure| environment, replace the
option \verb|[tbp]| by~\verb|[h]|. Here is the same figure
embedded
\begin{figure}[h]
\centering
\includegraphics{cycloid}
\caption{This is a non-floating cycloid figure with a
caption so long that it needs two lines here and in the
List of Figures.}
\label{fig2}
\end{figure}
in the middle of a sentence using the \verb|[h]| option.
Perhaps between paragraphs would be a better place for
floats.
\tbref{table} is a table float. It appears at the top of
the page even though it appears in the source file right
here.
\begin{table}[tbp]
\[ \begin{array}{c|c|c|c|c|}
\multicolumn{1}{c}{ + } & \multicolumn{1}{c}0 & \multicolumn{1}{c}1 &
\multicolumn{1}{c}a & \multicolumn{1}{c}b \\
\cline{2-5}
0 & 0 & 1 & a & b \\
\cline{2-5}
1 & 1 & 0 & b & a \\
\cline{2-5}
a & a & b & 0 & 1 \\
\cline{2-5}
b & b & a & 1 & 0 \\
\cline{2-5}
\end{array} \]
\caption{Addition table for $ \mathbb F_4$.}\label{table}
\end{table}%
The table environment is essentially the same as the figure
environment. The main difference is that figures are listed
in the List of Figures and tables are listed in the List of
Tables.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% References
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newpage
\addcontentsline{toc}{part}{References}
\begin{thebibliography}{99}
\bibitem{fox} R.~H.~Crowell and R.~H.~Fox,
\emph{Introduction to Knot Theory,} Graduate Texts in
Mathematics Vol.~57, Springer-Verlag, 1977.
\bibitem{johnson} N.~Johnson, \emph{The Brachistochrone
Problem,} College Math J., {\bf 35}, No 3, (2004),
192--197.
\bibitem{kappe} L.~Kappe and B.~Warren, \textit{An
Elementary Test for the Galois Group of a Quartic
Polynomial}, Amer. Math. Monthly, \textbf{96}, (1989),
133--137.
\bibitem{mac} C. Maclachlan, A.~W.~Reid, \emph{The
Arithmetic of Hyperbolic \textup{3}-Manifolds,}
Graduate Texts in Mathematics Vol. 219, Springer-Verlag, 2003.
\bibitem{munk} J.~R.~Munkres, \emph{Topology, \(
2^{\text{nd}} \) ed.}, Prentice Hall, 2000.
\bibitem{rees} S.~Rees, \emph{Knot Theory: The Knot
Group and its Wirtinger Presentation,} Course material
for MAS265 at the University of Newcastle, 2003,\\
\verb|http://www.mas.ncl.ac.uk/~nser/teaching/265/265_chap10.pdf|
\bibitem{R}K.~Reidemeister, \emph{Knot Theory},
translated by L.~Boron, C.~Christiansen and B.~Smith,
BCS Associates, 1983. Originally published as
\emph{Knotentheorie}, Ergebnisse der Mathematik und
Ihrer Grenzgebiete, (Alte Folge), Band~1, Heft~1, 1938.
\bibitem{rolf}D.~Rolfsen, \emph{Knots and Links},
Mathematics Lecture Series 7, Publish or Perish Inc.,
1976, pp. 56--63.
\bibitem {wan} F.~Y.~M.~Wan, \textit{An Introduction to
the Calculus of Variations and its Applications,}
Chapman \& Hall, 1995.
\end{thebibliography}
Each math journal has its own rules about the order and
formatting of the entries in a list of references, but the
library has no special requirements of its own. In the
absence of better guidance (perhaps from your thesis
supervisor), you can use the following rules:
\begin{enumerate}
\item The reference list should be alphabetized by the
first author's last name.
\item \textbf{Journal articles:} List author(s), title
in italic, journal name (usually abbreviated), volume in
bold, issue number if needed, year in parentheses, and
page numbers. The page numbers are separated by an
en-dash like this: \verb|12--24|.
\item \textbf{Books:} List author(s), title in italic,
series name and number if needed, publisher, year. It
is common to follow the publisher's name by its address,
for example, Springer-Verlag, New
York-Heidelberg-Berlin. This convention is no longer
useful. (Your thesis supervisor may disagree!)
\item To be careful, there should be a tilde \verb|~|
between an author's initials and his/her name, for
example, \verb|D.~Rolfsen|, so that LaTeX doesn't think
that the period is the end of a sentence and put in a
bit of extra space. (This advice applies to the entire
thesis, not just the list of references.)
\item The library seems to prefer consistency about the
use of first names or initials of authors. Probably
easier to use initials only.
\end{enumerate}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Appendices
% Appendices are just chapters that are numbered A, B, C,...
% Delete or modify as needed.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\appendix% Starts chapter numbering with A, B, C, etc.
% Puts "Appendices" in Table of Contents
\addtocontents{toc}{\noindent Appendices\par}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Appendix A
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{The First Appendix}\label{appA}
Appendices are just chapters that are numbered A, B, C, etc.
Theorems, sections and equations are numbered A.1, A.2, etc.
within this appendix.
\begin{theorem}
This is a theorem in Appendix A.
\end{theorem}
\section{A section within Appendix A} And an equation within
Appendix A:
\begin{equation}\label{eqappA}
x= \rho\tau - \rho^2\sin \frac{\tau}{\rho} \quad\text{ and }\quad
y=\rho^2\left( 1 - \cos \frac{\tau}{\rho} \right)
\end{equation}
Even if you need only one appendix, it will still need to be
called Appendix A, and the word ``Appendices'' will still be
needed in the Table of Contents (though you could ask the
library about that).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Appendix B
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\chapter{The Second Appendix}
This is the second appendix. Theorems, sections and
equations within this appendix are numbered B.1, B.2, etc.
\begin{theorem}
This is a theorem in Appendix B.
\end{theorem}
\section{A section within Appendix~B} And an equation too:
\begin{equation}\label{eqappB}
x= \rho\tau - \rho^2\sin \frac{\tau}{\rho} \quad\text{ and }\quad
y=\rho^2\left( 1 - \cos \frac{\tau}{\rho} \right)
\end{equation}
It is the same equation as in Appendix~\ref{appA}. See \eqref{eqappA}.
\end{document}