Lectures on Invariant Theory

1. The symbolic method 2. The first fundamental theorem 3. Reductive algebraic groups 4. Hilbert's fourteenth problem 5. Algebra of covariants 6. Quotients 7. Linearization of actions 8. Stability 9. Numerical criterion of stability 10. Projective hypersurfaces 11. Configurations of linear subspaces 12. Toric varieties.