This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-ass

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

Foundations of Galois Theory is an introduction to group theory, field theory, and the basic concepts of abstract algebra. The text is divided into two parts. P

Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level. The te

Differential Galois theory is an important, fast developing area which appears more and more in graduate courses since it mixes fundamental objects from many di