Finite Dimensional SpacesExplores finite dimensional spaces, covering extraction process, bases generation, and space completion.
Lagrange InterpolationIntroduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.
Splines: Least-Squares MethodExplores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.
Sinc InterpolationCovers Lagrange interpolation, local schemes, and sinc interpolation convergence.
Complex Roots and PolynomialsExplores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Interpolation de fonctionExplores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.
