I. Introduction 1. Finite fields 2. Projective spaces and algebraic varieties II. Elementary general properties 3. Subspaces 4. Partitions 5. Canonical forms fo

This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volum

This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental i

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

Projective geometry is not only a jewel of mathematics, but has also many applications in modern information and communication science. This book presents the f