A bit of structure

A warning: I will try to make these notes make sense read in order. Therefore most of the material will reference previous material and assume it was understood. If you want to pursue these notes non linearly, as a reference, I will try to keep a sidebar with all the relevant laws and concepts explored until that point.

These notes are not complete yet, only the working links have actual substance behind them.

Paragraphs starting with a "+" in their own rectangle are expandable. (click to expand)

They contain usually solutions to the questions they show. This is to encourage first thinking about the answer, and then checking whether it was correct. Just the process of thinking things through helps, without following the article absentmindedly.

While the formulation for explanations and exercises is going to be wholly original, I will disclose that I am going to take a bit of the learning structure and topics from "Art of Problem Solving" by Sandor Lehoczky and Richard Rusczyk, and "No Bullshit guide to Maths and Physics" by Ivan Svavov. Even though I am reordering the topics as I see fit, I am using those books as an overview of the topics to possibly cover. As I am developing this resource, this is now extremely deviating from the aforementioned books, but it should hopefully be still from "zero" actual knowledge beforehand.

The amount of exercises shown is also probably not satisfactory for a full course, and it would be better served by other resources. Sadly, the amount of time used in developing this has to be kept limited, and I much prefer to get explanations out correctly, in order for the readers to be able to solve and tackle everything themselves.

As a last point, excuse the "overly informal" writing style, as I felt like another dry resource might be counterproductive to get people who have no clue about math interested in it again. I am also just a computer science student, so (for now) the math shown here is going to be very basic, shown as formally as I can, but it might be possible (and very probable) that more rigorous resources are to be explored after this first "concept dive".