May anyone/someone please suggest/recommend some books on learning Galois Theory? Before learning this pure mathematics subject, is the knowledge of group theory required in order to study Galois Theory? I have the e-textbook of Galois Theory by Ian Stewart, 4th edition but was wondering if there are other Galois Theory books for practice.
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student.
I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...