\documentclass[12pt,a4paper]{book}
\usepackage{geometry}
\geometry{verbose,tmargin=0.75in,bmargin=1in,lmargin=1.5in,rmargin=1in,footskip=0.525in}
\usepackage{fancyhdr}
\pagestyle{fancy}
\usepackage{color}
\usepackage{verbatim}
\fancypagestyle{myfancy}{ %declearing the modified fancy
    \lhead{left}
    \chead{center}
    \rhead{\thepage}
    \lfoot{left}
    \cfoot{center}
    \rfoot{right}
    \renewcommand{\headrulewidth}{0pt}  
    \renewcommand{\footrulewidth}{0pt}  
    \renewcommand{\plainheadrulewidth}{0pt}  
    \renewcommand{\plainfootrulewidth}{0pt}%
}

\fancypagestyle{plain}{%the plain fancy
    \lhead{left}
    \chead{center}
    \rhead{right}
    \lfoot{left}
    \cfoot{\thepage}
    \rfoot{right}
    \renewcommand{\headrulewidth}{0pt}  
    \renewcommand{\footrulewidth}{0pt}
    \renewcommand{\plainheadrulewidth}{0pt}  
    \renewcommand{\plainfootrulewidth}{0pt}%
}

\newcommand\x{%
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text texttext text text text text text text text text text text texttext
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text text text text texttext text text text text text text text text
text text%
}

\begin{document}
\frontmatter
\enlargethispage{10ex}
\title{\textrm{\textmd{\textcolor{black}{\normalsize PAGE NUMBERS AT THE BOTTOM AND TOP}}}}
\vspace{2cm}

\author{{\normalsize by}\\
{\normalsize Remzi Seker and Herbert Voss~}}

\maketitle
\pagestyle{plain}
\addcontentsline{toc}{section}{ACKNOWLEDGEMENTS}

\vspace{0.5in}
\begin{center}ACKNOWLEDGEMENTS\end{center}

\LaTeX{} the \TeX{} macro package. 
\newpage
\renewcommand{\contentsname}{CONTENTS}
\tableofcontents{}
\newpage
\addcontentsline{toc}{section}{LIST OF TABLES}
\renewcommand{\listtablename}{LIST OF TABLES}
\listoftables
\newpage
\pagestyle{myfancy}
\mainmatter

\chapter{\textrm{\textmd{\normalsize THE FIRST CHAPTER }}}

\begin{comment}
The Space before and after chapter title needs to be tuned.. 
\end{comment}
\x

\section{\textrm{\textmd{\normalsize Section }}}

\x

\x

\x

\subsection{\textrm{\textmd{\normalsize A Subsection }}}
\x

\subsubsection{\textrm{\textmd{A Subsubsection}}}
\x
\chapter{\textrm{\textmd{\normalsize THE SECOND CHAPTER}}}

Another chapter to make sure... Look at the page number in the bottom.
In the next page the number should be in the right upper corner!


\section{\textrm{\textmd{\normalsize Section 2.1 }}}
\x

\x
\section{\textrm{\textmd{\normalsize Section}}}
\x

\newpage
\section{\textrm{\textmd{\normalsize Contributions}}}
\x

\section{\textrm{\textmd{\normalsize Another Section}}}

\x

\begin{comment}
put your refs here
\end{comment}

\end{document}