This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also c

This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theor

V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, cha

This book is devoted entirely to the theory of finite fields.

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