Looking for analysis books with in-depth treatment of Cantor Set and Cantor Function

I'm a third-year mathematics undergraduate student currently taking a second course in Real Analysis.

In the course, we were briefly introduced to the version of the Cantor Set being the set of all real numbers in $[0,1]$ that have ternary expansion containing no $1 \text{'s}$, and then from there we were given problems pertaining to the Cantor Set that we had to solve. Now, the issue I'm having is we were never formally introduced to what a $p \text{-ary}$ expansion of a real number actually is and how we actually work with them. Consequently, I am constantly struggling to even begin thinking of an approach to solve those problems. As for the Cantor Function, it is pretty much the same issue where we were simply given the basic definitions and then left alone to solve problems pertaining to it. The textbook that we are using is "An Introduction to Lebesgue Integration and Fourier Series" by Howard J. Wilcox and it isn't of much help either as it only has a mild treatment for the Cantor Set and has almost no treatment whatsoever for the Cantor Function.

So, with all that being said, I'm looking for resources (preferably textbooks or notes) that at least cover the following concepts about the Cantor Set and Cantor Function:

1. A proof that the elements of the Cantor Set can be given by such ternary expansion.
2. Some examples of how properties of the Cantor Function are proven using the ternary expansion formulation. For example:
   • How do we show that the Cantor Set is nowhere dense, perfect, etc.
   • How do we prove that a particular number is or is not in the Cantor Set.
   • How do we show that the Indicator Function of Cantor Set is/is not Riemann Integrable.
3. An overview of the Cantor Function and some of its alternate forms; e.g.
   • The standard form of the Cantor Function
   • The recursive form of the Cantor Function
4. Some examples of how the different forms of the Cantor Function are used prove facts about the Cantor Function. For example:
   • How do we determine the image of a particular number of the Cantor Function using the two formulation
   • How do we evaluate the continuity, uniform continuity, differentiability, and Riemann Integrability of the Cantor Function.

I've been looking around for quite some time now but I haven't had much luck. So, any suggestion would be greatly appreciated.