Intended for a one-semester course, this superb, self-contained text acquaints students with abstract algebra and offers them computational practice with many exercises. It covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
A happy little read -- truly merely an introduction to abstract algebra -- that'll light your fire for operation structures. Rings, groups, fields, hurrah! You cannot understand the mathematics of the last two centuries without a deeper comprehension of algebra than Landin provides here, but it's a good starting place. This is probably one of the five most readable selections from the Dover Mathematics imprint for those of you without mathematical training.