This book is a survey of abstract algebra with emphasis on linear algebra. It is intended for students in mathematics, computer science, and the physical sciences. The rst three or four chapters can stand alone as a one semester course in abstract algebra. However they are structured to provide the background for the chapter on linear algebra. Chapter 2 is the most dicult part of the book because groups are written in additive and multiplicative notation, and the concept of coset is confusing at rst. After Chapter 2 the book gets easier as you go along. Indeed, after the rst four chapters, the linear algebra follows easily. Finishing the chapter on linear algebra gives a basic one year undergraduate course in abstract algebra. Chapter 6 continues the material to complete a rst year graduate course. Classes with little background can do the rst three chapters in the rst semester, and chapters 4 and 5 in the second semester. More advanced classes can do four chapters the rst semester and chapters 5 and 6 the second semester. As bare as the rst four chapters are, you still have to truck right along to nish them in one semester.