(* *) (* Numerical Mathematics and Computing, Fifth Edition *) (* Ward Cheney & David Kincaid *) (* Brooks/Cole Publ. Co. *) (* (c) 2004 *) (* No warranties implied or expressed. *) (* File: taylor_series *) (* two-variable Taylor series example *) Series[Cos[Pi*x] + Sin[Pi*y] + Exp[x*y], {x,1,2}, {y,1,2}] Normal[%] % /. x->1+x % /. y->1+y