Matrices;
Groups;
Vector spaces;
Linear operators;
Applications of linear operators;
Symmetry;
More group theory;
Bilinear forms;
Linear groups;
Group representations;
Rings;
Factoring;
Quadratic number fields;
Linear algebra in a ring;
Fields;
Galois theory

"Algebra, Second Edition, by Michael Artin, is ideal for the honors undergraduate or introductory graduate course. The second edition of this classic text incorporates twenty years of feedback and the author's own teaching experience. The text discusses concrete topics of algebra in greater detail than most texts, preparing students for the more abstract concepts; linear algebra is tightly integrated throughout." -- Publisher's description