\documentclass{book}
\usepackage{amsmath}
\numberwithin{equation}{chapter}
\begin{document}
\chapter{first}
\begin{equation}\label{eq: my very first referenced equation}
equation
\end{equation}
see \eqref{eq: my very first referenced equation} \dots
\end{document}
You need to run LaTeX at least twice.
Addendum:
From comments to your question and changes of question follows, that you actually not interested referencing mechanism ... An alternative is using tag
s for numbering/tagging of equation and than referencing it manually:
\documentclass{book}
\usepackage{mathtools}% or amsmath ...
\begin{document}
\chapter{first}
\begin{equation}\tag{1.1}
equation
\end{equation}
see (1.1) \dots
\end{document}
Result is the same as before.
\ref{<equation label>}
? for more, please provide minimal working example with only relevant packages.\label{eq:second}
and\ref{eq:second}
? Is your paper really short? If so, just write "... as shown in equation (1.2) ..." and be done with it. I've edited the title of your posting to clarify your typesetting objective, which isn't really related to the directive\numberwithin{equation}{chapter}
.