Makes everything I previously learned much clearer. Hints made the text easy to follow. Fun, engaging, and very useful.

Added to my bookmarks bar!

This was a refreshing take on Galois theory. I loved the chatty tone, and the stories. Using spoiler boxes to encourage the reader to work things out for themselves is a very effective way to write expository mathematics. I think choosing to explain Galois theory from a historical perspective will help make it seem more approachable to the first time learner.

I wait with eagerness for the second half! :)

Relatively quick pace; in particular, many definitions and symbols are used without real introduction. This is a positive for me personally, as there isn’t anything really new to me in the article, but i wouldn’t expect a student to be able grasp almost anything if it was their first time reading this.

Since its unfinished you’re probably already aware, but you need to proofread it a bit. x^i is clearly not meant to be there for instance.

I really like your style of writing though! It’s to the point while not overly serious. Reminds me a bit of “learn you a haskell for great good” or those kinds of blog posts, but a bit more bare bones. I think if you try to look at those sort of intros, and the weight they put on each new piece of information you might improve your writing. (Not saying you need to copy that style ofc)

I really like this post, partly because of its enthusiasm. I also love the historical angle, as it makes the math feel alive, as though it’s being invented right now.

My only criticism is that sometimes there are tricky jumps in understanding. Like the symmetric polynomials, which, if I understand correctly, are polynomials in multiple variables, after we had only been talking about polynomials in one variable. But maybe I misunderstood!

It’s really nice that you explain the problems with small screens in the first hint box!

The article itself is very well-written, but could be a bit tighter and more focused.

This blog has strong points and areas for improvement. Let me go through them one by one.

What I liked:

1. The blog is written in a conversational style, taking the reader on a journey from naïve understanding to how an expert might approach the problem. This approach makes the narrative engaging and helps the reader feel guided step by step.
2. I have come across a few other blogs and videos on cubic equations, but the way you worked out the coefficients multiplied by the roots was particularly effective. It was a neat way of drawing a connection between quadratic and cubic equations, and it made the concept more relatable.

Areas for Improvement:

1. The language is often too dense and difficult to follow. Even while reading attentively, I found myself having to go back and forth multiple times to fully grasp the explanations.
2. At times, the presentation feels confusing or out of sync. For example, the sudden introduction of expressions like ax1 + bx2, made it hard to build intuition. While I understand this was intended to streamline the process, it left me struggling to follow the underlying reasoning.
3. The structure could be improved. Topics don’t always have clear beginnings and endings, so the reader finds it difficult to know when an idea ends and another begins.

Overall, I appreciate the effort and the clear bias for action in putting this blog together. Best of luck as you continue writing. I look forward to seeing more of your work strengthen over time.

What’s there is really good, but kind of unrelated to what is promised.

I enjoyed your write up and being told I was lazy. Shame you did not finish.