Where can I find the detailed definition of $\mathbb{Z}_p$ as projective limit?

I am doing my MSc project on "p-adic numbers". In my first chapter of the project, I want to include the construction of $\mathbb{Z}_p$ with both algebraic and analytic approach. But I'm not able to find any detailed explanation of analytic approach i.e., $\mathbb{Z}_p=\varprojlim_n\mathbb{Z}/p^n\mathbb{Z}$

So can anyone help me with this?