Code: Select all
\documentclass[a4paper,12pt,twoside]{book}
\usepackage{amsmath,amssymb,amsfonts,geometry} % Typical maths resource packages
\usepackage{xcolor} % For creating coloured text and background
\usepackage{hyperref} % For creating hyperlinks in cross references
\usepackage{graphicx}
\usepackage{pstricks}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{teo}{Theorem}[section]
\numberwithin{section}{chapter}
\usepackage{fancyhdr}
%def "fancy" pagestyle
\pagestyle{fancy}
\renewcommand{\chaptermark}[1]{\markboth{\MakeUppercase{\chaptername \ \thechapter \ \ #1}}{}}
\fancyhf{}%clear all header and footer fields
\fancyhead[LO]{\nouppercase{\rightmark}}
\fancyhead[RE]{\nouppercase{\leftmark}}
\fancyhead[RO,LE]{\thepage}
\def\chem#1#2{ {{\scriptscriptstyle#1\atop\longrightarrow}\atop{\longleftarrow\atop \scriptscriptstyle#2}} }
\begin{document}
\begin{titlepage}
\begin{center}
\vspace*{5mm}
\Huge Hydrodynamic Stability and Flow Transitions\\
\vspace*{50mm}
\includegraphics[scale=0.7]{shield.pdf}
\vfill
\rm
{\LARGE } \\
\vspace*{25mm}
\small
\end{center}
\end{titlepage}
\newpage
\thispagestyle{empty}
\tableofcontents
\renewcommand*\thesection{\arabic{section}}
\clearpage{\pagestyle{empty}\cleardoublepage}
\newpage
\thispagestyle{empty}
\newpage
\chapter*{Abstract}
\addcontentsline{toc}{chapter}{Abstract}
\chapter*{Notation}
\addcontentsline{toc}{chapter}{Notation}
\begin{table}[h!]
%\begin{small}
\begin{tabular}{l c l}
$x,y,z$& - & Cartesian coordinates \\ \\
$t$& - & Time\\ \\
$u,v,w$ & - & Eulerian components of the fluid velocity \\ \\
$U,V,W$ & - & Mean velocity components\\ \\
$\alpha$& - & Wave number in x direction \\ \\
$\beta$& - & Wave number in z direction \\ \\
$c=c_{r}+\mathbf{i}c_{\mathbf{i}}$& - & Complex phase velocity \\ \\
$\phi$& - & Eigenfunction \\ \\
$\psi$& - & Stream function\\ \\
$R$& - & Reynolds number of the mean flow, based on free stream velocity \\ \\
$\nu$ & - & Kinematic fluid Viscosity \\ \\
$',d/dy$ & - & Ordinary derivative\\ \\
$x,y,z,t$ & - & In subscript, partial derivative\\ \\
$*$ & - & In superscript, complex conjugate\\
%$\epsilon$& - & perturbation parameter \\
%$\zeta$& - & eigenvalue \\
\end{tabular}
\end{table}
\addcontentsline{toc}{chapter}{Notation}
\newpage
\chapter{Preliminaries}%-----------------------------Preliminaries------------------------------------------------------------------------
\section{Introduction to hydrodynamic stability} %---------------------------- section 1.1--------------------------------------
In fluid dynamics, hydrodynamic stability concerns the stability and instability of fluid flows. Hydrodynamic stability is an important phenome
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I am having a trouble dividing sections for each chapter. I want to display 3 sections under chapter 1 (Preliminaries) as 1.1 , 1.2 and 1.3 but I do not know how. help please