(* *) (* Numerical Mathematics and Computing, Fifth Edition *) (* Ward Cheney & David Kincaid *) (* Brooks/Cole Publ. Co. *) (* (c) 2003 *) (* No warranties implied or expressed. *) (* File: newt_interp2 *) (* Newton interpolation polynomial *) InterpolatingPolynomial[{{1,3}, {3/2,13/4}, {0,3}, {2,5/3}}, x] Simplify[%] %% /. x -> 1/2