Definition1.0.1
The set of counting numbers is denoted \begin{equation*}\mathbb{N} = \{0,1,2,3,4,\cdots\}\end{equation*} Note that in this text, this set begins at zero. The integers is the set of positive and negative counting numbers: \begin{equation*}\mathbb{Z} = \{ \cdots ,-3,-2,-1,0,1,2,3,\cdots \}\end{equation*}