I am writing a book and wish to make the numbering in part I Roman while preserving the numbering style in the Arabic part II. I present as a minimal example below. If the "\renewcommand"s are commented out the numbering is as desired. After Part I is given Roman numbering the wished for nesting disappears. How can I preserve the original format?
\documentclass[10pt,oneside,usenames,dvipsnames]{book}
\setcounter{tocdepth}{2}
\setcounter{secnumdepth}{2}
\begin{document}
\tableofcontents
\renewcommand{\thechapter}{\Roman{chapter}}
\renewcommand {\thesection}{\Roman{section}}
\renewcommand {\thesubsection}{\Roman{subsection}}
\part{1}
\chapter{FIRST}
\section{First}
\subsection{first}
\renewcommand{\thechapter}{\arabic{chapter}}
\renewcommand {\thesection}{\arabic{section}}
\renewcommand {\thesubsection}{\arabic{subsection}}
\part{2}
\chapter{SECOND}
\section{Second}
Want this numbered as 2.1 which it is until Part I numbering is made Roman. It then appears as just 1. The section numbering style is not as wanted after a Roman Part I.
\subsection{second}
Want Numbering here to be 2.1.1 which it is until Part I numbering is made Roman. It appears as 1. The subsection is numbered but the style is wrong. How can I keep the 2.1.1 style of numbering with a Roman Part I?
\subsubsection{2nd}
Want no numbering here, which works with and without the Roman Part 1.
\end{document}