Let me take this opportunity to post one of the best texts on Galois Theory I have read -- and I had to go through quite a few while preparing for a class.
The subject is developed very naturally and every idea is beautifully motivated. It begins with a quick one chapter intro of Arnold's proof of Abel-Ruffini.
https://pages.uoregon.edu/koch/Galois.pdf
The subject is developed very naturally and every idea is beautifully motivated. It begins with a quick one chapter intro of Arnold's proof of Abel-Ruffini.
Richard Koch's home page (https://pages.uoregon.edu/koch/) has other examples of his fantastic pedagogy.