Clearly presented elements of one of the most penetrating concepts in modern mathematics include discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 edition.
Here's a sample of other books in this Dover category
Modern Algebra by Seth Warner Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
Introduction to Field Theory: Second Edition by Iain T. Adamson This undergraduate text ranges from basics to important results, including properties of rings and fields, extension fields, and Galois theory. "An excellent introduction." — American Mathematical Monthly. 1982 edition.
Foundations of Galois Theory by M. M. Postnikov A virtually self-contained treatment of the basics of Galois theory. This 2-part approach begins with the elements of Galois theory and concludes with the unsolvability by radicals of the general equation of degree n > 5.
Basic Algebra II: Second Edition by Nathan Jacobson This classic text and standard reference comprises all subjects of a first-yeargraduate-level course, including in-depth coverage of groups and polynomials and extensive use of categories and functors. 1989 edition.