Some illustrations of Taylor polynomials in the plane and in space.

1.  Page 437 Top of page for definition

2.  Example 3 is illustrated by this web site

     http://math.furman.edu/~dcs/java/taylor.html    (google: taylor polynomial)

3.  Another animation with a scroll bar

     http://www.calculus.org/Heath/taylor_series.mov

4.  P. 684 Taylor Polynomials for surfaces at z = f(0,0)

5.  Animation:  http://www-pors.hit.no/~haraldp/atcm99/paper4.html