Lagrange Interpolation

This lecture covers the concept of Lagrange interpolation, which aims to approximate a set of data points by constructing a polynomial that passes through these points. The instructor explains the Lagrange interpolating polynomials, the approximation of functions and data, and the use of Taylor polynomials for interpolation. The lecture also delves into the challenges of polynomial interpolation, such as stability issues and the importance of distinct nodes for accurate interpolation.