Table of Contents - 1 - Matrices; 2 - Groups; 3 - Vector Spaces; 4 - Linear Operators; 5 - Applications of Linear Operators; 6 - Symmetry; 7 - More Group Theory; 8 - Bilinear Forms; 9 - Linear Groups; 10 - Group Representations; 11 - Rings; 12 - Factoring; 13. Quadratic Number Fields; 14 - Linear Algebra in a Ring; 15 - Fields; 16 - Galois Theory.