This volume is devoted to the study of groups. Chapters 2 to 4 introduce the basic notions of groups (with operators) and their homomorphisms including presentations for groups by generators and relations. Chapter 5 considers direct and semidirect products. Chapters 6 to 8 establish Sylow theorems and study Abelian soluble and nilpotent groups. Finally chapter 9 returns to geometry and studies finite subgroups of rotations in R3. The text is rich in examples and exercises and develops the subject at a leisurely pace.