\begin
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\documentclass[12pt,reqno, twoside]{amsbook}
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\usepackage{eurosym}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}
\usepackage[onehalfspacing]{setspace}
\usepackage{chngcntr}
\usepackage{graphicx}
\usepackage[a4paper, margin=2.5cm]{geometry}
\usepackage[english]{babel}
\usepackage{fancyhdr}
\usepackage{titlesec}
\usepackage{enumitem}
\usepackage{etoolbox}
% you may need to uncomment the command below if you use eps format for figures
%\usepackage{epstopdf}
\makeatletter
\def\section{\@startsection{section}{1}%
\z@{.5\linespacing\@plus.7\linespacing}{.25\linespacing}%
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\providecommand{\U}[1]{\protect\rule{.1in}{.1in}}
\theoremstyle{plain}
\newtheorem{acknowledgement}{Acknowledgement}
\newtheorem{algorithm}{Algorithm}[chapter]
\newtheorem{axiom}{Axiom}[chapter]
\newtheorem{case}{Case}[chapter]
\newtheorem{claim}{Claim}[chapter]
\newtheorem{conclusion}{Conclusion}[chapter]
\newtheorem{condition}{Condition}[chapter]
\newtheorem{conjecture}{Conjecture}[chapter]
\newtheorem{corollary}{Corollary}[chapter]
\newtheorem{criterion}{Criterion}[chapter]
\newtheorem{definition}{Definition}[chapter]
\newtheorem{example}{Example}[chapter]
\newtheorem{exercise}{Exercise}[chapter]
\newtheorem{lemma}{Lemma}[chapter]
\newtheorem{notation}{Notation}[chapter]
\newtheorem{problem}{Problem}[chapter]
\newtheorem{proposition}{Proposition}[chapter]
\newtheorem{remark}{Remark}[chapter]
\newtheorem{solution}{Solution}[chapter]
\newtheorem{summary}{Summary}[chapter]
\newtheorem{theorem}{Theorem}[chapter]
\numberwithin{equation}{chapter}
% Please write the references according to your school
\newenvironment{dedication}
{%\clearpage % we want a new page
\thispagestyle{empty}% no header and footer
\vspace*{\stretch{1}}% some space at the top
\itshape % the text is in italics
\raggedleft % flush to the right margin
}
{\par % end the paragraph
\vspace{\stretch{3}} % space at bottom is three times that at the top
%\clearpage % finish off the page
}
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\fancyfoot[LE,RO]{\thepage}
\makeatletter
\def\ps@plain{\ps@empty
\def\@evenfoot{%
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}%
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\begin{document}
\frontmatter
\addtocontents{toc}{\setcounter{tocdepth}{2}}
\thispagestyle{empty}
\begin{dedication}%
\begin{flushright}
\textit{Write here your dedication}
\end{flushright}%
\end{dedication}
\setcounter{page}{1}
\pagenumbering{roman} %
\chapter*{Acknowledgment}
Write here the acknowledgments and grants, if any
\chapter*{Resumo}
Write here your abstract in Portuguese
\chapter*{Abstract}
Write here your abstract in English
\tableofcontents
\mainmatter
\hyphenation{wri-te he-re pro-per hy-phe-ni-za-tion
}%
\setcounter{page}{1} \pagenumbering{arabic}
\chapter{Introduction}
\noindent You must use $\backslash$noindent at the beginning of the first paragraph in sections and subsections.
\section{Major Section}
\noindent Use Section tag for major section.
\subsection{This is a subsection}
\noindent This is a dummy text under a subsection.
\subsection{This is another subsection}
\noindent This is a dummy text under a subsection.\par
This is the second paragraph.
\section{Another Major Section}
\newpage
We add a page brake to show that the even page number appears on the left
\chapter{Literature Review}
\section{One Section}
\section{Another Section}
\chapter{Mathematics}
\section{Mathematics and Text}
\noindent Let $H$ be an Euclidean space, $C$ be a closed bounded convex subset of $H$, ...
Suppose that as $n\rightarrow\infty$, ....
.
\section{Mathematical Formulas}
\noindent Example of how the number of formulas appears on the right and can be invoked by its label.
\begin{equation}
w_{tt}-\Delta w+w^{6}+w\left| w\right| ^{p-2}=0\text{ in }\mathbf{R}%
^{3}\times\left[ 0,\infty\right) \label{eqn1}%
\end{equation}
The equation (\ref{eqn1}) shows that ....
\chapter{Theorem-like Environments}
\section{Some Examples}
\begin{algorithm}
This is an algorithm
\end{algorithm}
\begin{algorithm}
This is another algorithm
\end{algorithm}
\begin{conjecture}
This is a conjecture
\end{conjecture}
\begin{corollary}
This is a corollary
\end{corollary}
\begin{corollary}
This is another corollary
\end{corollary}
\begin{corollary}
One more corollary
\end{corollary}
\begin{criterion}
This is a criterion
\end{criterion}
\begin{definition}
This is a definition
\end{definition}
\begin{example}
This is an example
\end{example}
\begin{exercise}
This is an exercise
\end{exercise}
\begin{lemma}
This is a lemma
\end{lemma}
\begin{proof}
This is the proof of the lemma.
\end{proof}
\begin{notation}
This is notation
\end{notation}
\begin{problem}
This is a problem
\end{problem}
\begin{proposition}
This is a proposition
\end{proposition}
\begin{proof}
[Proof of the Main Theorem]This is the proof.
\end{proof}
\chapter{Conclusions}
\renewcommand{\bibname}{References}
\def\bibindent{0.7cm}
\begin{thebibliography}{99\kern\bibindent}
\makeatletter
\let\old@biblabel\@biblabel
\def\@biblabel#1{\old@biblabel{#1}\kern\bibindent}
\let\old@bibitem\bibitem
\def\bibitem#1{\old@bibitem{#1}\leavevmode\kern-\bibindent}
\makeatother
\makeatletter
\renewcommand\@biblabel[1]{}
\makeatother
%\begin{thebibliography}{99}
\bibitem{aka73} H. Akaike (1973), \textquotedblleft Information Theory as an
Extension of the Maximum Likelihood Principle\textquotedblright, in B. N.
Petrov, and F. Csaki, (Eds.), \textit{Second International Symposium on
Information Theory}, Akademiai Kiado, Budapest, pp. 267--281.
\bibitem{and10} D.T. Anderson, J.C. Bezdek, M. Popescu, and J.M. Keller
(2010), \textquotedblleft Comparing Fuzzy, Probabilistic, and Possibilistic
Partitions\textquotedblright, \textit{IEEE Transactions on Fuzzy Systems},
18(5), 906--918.
\end{thebibliography}
\end{document}