The first subject of our discussion about Classic Electrodynamics is Electrostatics. In science, electrostatics is the branch of physics that describe the phenomena arising from stationary or slowly moving electric charges. More specifically, it describes phenomena arising from time independent distribution of charge and fields.
Historically, electrostatics developed as the science that describes macroscopic observed phenomena. The assumption of point charges and electrical fields, are simply mathematical tools developed in order to study some phenomena at a macroscopic level. You can be curious to know what happen at a microscopic level, but now I will disappoint you, and postpone for later that discussion. If you are curious about that, you should wait until I start with quantum fields or fill free to search about that. There you will probably find the answers to your curiosity. 
Click on the following link and download the pdf file. This file is under construction, but you can find what is done
[...] download the first section of Electrostatic Chapter, click here or go through the Outline [...]