In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long gra
A modern and student-friendly introduction to this popular subject: it takes a more "natural" approach and develops the theory at a gentle pace with an emphasis
This 1984 book aims to make the general theory of field extensions accessible to any reader with a modest background in groups, rings and vector spaces. Galois
Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials ov
This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-ass