If you're into this stuff, I really like this book on Galois theory: https://www.worldcat.org/title/classical-introduction-to-galois-theory/oclc/864911918 http

If you're into this stuff, I really like this book on Galois theory: https://www.worldcat.org/title/classical-introduction-to-galois-theory/oclc/864911918 https://www.worldcat.org/title/classical-introduction-to-gal... The reason I like this book is that it is very computational, in the spirit of Galois's original discoveries. Modern treatment of Galois theory has been greatly coloured by Emil Artin's reformulation of the subject: the Galois group is nowadays primarily taught to undergrads as being a group of automorphisms of a field extension instead of being primarily the computational object of the permutations of the roots of a polynomial. Artin's approach has merit, of course. The extra level of abstraction generalises to much more than just simple algebraic extensions of the rationals. However, I think the historical approach in this case is more instructive. Seeing lots of calculations before the abstractions gives you a better sense of what's being abstracted away.