I want to learn all the theories that are required to learn Differential Algebra. One of them is Field theory. I wonder if there are any free credible sources on the internet about this field where I could learn from scratch? What I found so far are basically notes and they don't seem to give a deep insight into Field theory.
2026-03-25 17:18:39.1774459119
Free sources to learn Field theory.
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As far as I know, differentiel algebra relies heavily on Galois theory. In order to understand this, you need to know group theory and field theory first. A good reference is Abstract Alegbra by Dummit & Foote which also is about Galois theory. As for notes on Galois theory, those of J.S. Milne are really great and freely avalaible on internet.