Interpolation of Lagrange: Dualité and Coupling

This lecture covers the concept of Lagrange interpolation, focusing on dualities and couplings of bilinear and quadratic forms. It explores the reconstruction of a function from a finite number of its values, emphasizing the uniqueness of the polynomial solution. The lecture delves into the construction of Lagrange interpolating polynomials, showcasing the simplicity and uniqueness of the solutions. Various examples and exercises are provided to illustrate the application of Lagrange interpolation in different scenarios.