Newton form for interpolating polynomials

newton_interpolation.m provides a simple tool for interpolating any function.

It gets any equation and the degree of the its interpolating polynomial as well as the interpolation interval and returns the symbolic newton form of the polynomial. For educational purposes, the user can see the progress of the function step by step. The accuracy of the procedure were tested against the theory to assure the theoretical bounds on error are met. For more description please see the help.