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RE: Introduction to Abstract Algebra: Part 1 - Introduction to Groups
I like it! I've heard that a few math programs have been experimenting with introducing fields before groups, since students already are familiar with two great examples (the real numbers and the complex numbers). From there, it is easy to introduce finite fields, and then remove structure and talk about more general objects like PIDs, UFDs, domains, rings, and groups.
Yeah I had a class (applied algebra and cryptography) where the professor introduced Rings first...IDK, I think I liked the way it's introduced in Gallian's book better.