I. Data approximations -- 1. Classical interpolation methods -- 2. Approximation with splines -- 3. Least squares approximation -- 4. Approximation of functions -- 5. Numerical differentiation -- 6. Numerical integration -- II. Approximate solutions -- 7. Nonlinear equations in one variable -- 8. Systems of nonlinear equations -- 9. Iterative solution of linear systems -- 10. Approximate solution of eigenvalue problems -- 11. Initial value problems -- 12. Boundary value problems