In this video we give a brief introduction into Maple, explaining how to do computations in field extensions.
For more details on computations of Galois groups, I recommend a book "Galois Theory Through Exercises" by Juliusz Brzezinski.
This is a tutorial in a graduate course "Groups and Galois Theory".
Here is the complete playlist for this course:
https://www.youtube.com/playlist?list=PLu6jbin1VpDDNAuq_Wa6WGElXYnJQTmOh
