"The best way to learn a new topic is to teach it" - Grant Sanderson aka 3blue1brown

Galois theory is a fascinating topic and I hope you learned as much as I did while making this video.
Please leave me any feedback, questions, etc. in the comments.

===Chapters===
0:00 Introduction
0:24 Groups
1:18 Fields
3:03 The Connection
5:30 Solving a polynomial
9:42 Conclusion
10:46 Why is there no quintic formula
11:38 Outro


Ignore the typo at 0:14. It should be "Group Theory"

At around 3:25 The last equation should equal -2, not 2. Still it has the same result even if you swap the roots.

===Further material===
https://link.springer.com/book/10.100... (Excellent book about Algebra and Galois Theory)
   • Why you can't solve quintic equations...   (Very good video by @mathemaniac, more technical and in-depth)

===Made with===
Manim (https://www.manim.community/)

===Music===
Music by Vincent Rubinetti
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/a...
Stream the music on Spotify:
https://open.spotify.com/playlist/3zN...

===Tags===
#galois #quintic #grouptheory #galoistheory #abelruffini