Jacobian Conjecture for Baby
by porphyra on 7/22/2026, 6:25:12 PM
https://muchmirul.github.io/jacobian-conjecture/
Comments
by: johnfn
This is really good - miles ahead of almost all other math writing I have read. One particular thing I really liked was the explanation of the determinant. When I was in college I spent a very long time trying to get some intuitive explanation for a determinant of a matrix and the best I could get is that you just multiplied and subtracted some numbers and poof there you go. I <i>KNEW</i> there had to be some more comprehensible explanation and it drove me crazy that people just parroted textbooks without any real understanding.<p>This reminds me of that silly video everyone was shown in middle school about inverting a sphere :-)<p>I am very curious how it was written (will there be a write up to the write up?!). It feels likely AI assisted, but this seems to me to be the best possible use of AI -- crunching out a bunch of visualizations of complex ideas so that they are easy to understand just by looking. The writing also feels a little AI written but definitely feels very human-assisted.
7/27/2026, 4:44:11 AM
by: neuralkoi
This was an excellent write-up and taught me more in 20 minutes than my linear algebra teacher did in 6 months.<p>The material however, got fairly dense. After chapter 10, it is no longer "baby" material in my opinion.
7/23/2026, 2:49:50 PM
by: y-curious
I followed very loosely and still got it. Very cool, the kind of math that gets close to feeling like "real life". I was <i>really</i> hoping that your mentions of "solving it by hand" and "you can prove it to yourself by hand" at the end were going to come to some clever maneuver I could do with my own hand (like the physics magnetism hand rule). Still, awesome.
7/27/2026, 4:39:55 AM
by: para_parolu
Awesome. I was literally asking ai to find blog post like this but couldn’t get anything decent
7/27/2026, 4:56:08 AM
by: NooneAtAll3
beginning reeked of... maybe not ai, but bad writing<p>but the further into the text, the better the prose<p>by the end it was great<p>---<p>good to know that conjecture has been false for real numbers for a while now
7/27/2026, 4:25:51 AM