Develops the mathematical background and recent results on the Inverse Galois Problem.

Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.

This volume is the offspring of a week-long workshop on "Galois groups over Q and related topics," which was held at the Mathematical Sciences Research Institut

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