Interpolation and Approximation of Functions

These lectures deal with methods for constructing approximating functions for
any set of data by using polynomial interpolation, least-squares approximation
and Chebyshev approximation. There are compared several ways of doing
interpolation and there are contrasted these procedures with several ways for
fitting imprecise data and for drawing smooth curves. It is shown how can help
symbolic algebra computer algebra programs in obtaining interpolating and
least-squares polynomials.