Is it actually worth spending time learning group theory as a non-mathematician? So far the only abstract/higher level math I've engaged with have been firmly in the world of analysis (measure, functional analysis, analytic approaches to diff-geo and diff-eq, Fourier analysis, etc.). These have been fun bits of learning, but they've also turned out immensely useful in my career as a signal processing engineer.
I've always been interested in learning algebra, but it's never been something that has been directly required of me for my job/research interests. Is it worth self-studying, and if so, what's a good resource for someone who never took an undergrad algebra course but is pretty familiar with proof-based math?