Numerical methods
Different numerical techniques are treated for a selection of problems: solving linear systems of equations, matrix transformations, least-squares problems, eigenvalue determination, solving systems of nonlinear equations, linear programming, orthogonal polynomials, Gauss quadrature, Chebyshev series, Fourier series, trigonometric interpolation, spline interpolation, Bezier curves.
While studying these techniques we give attention to the influence of the underlying computer arithmetic and the essential aspects of conditioning and stability.