ides the guide to the
| constructions that follow, and to the confirmation that the tangent space is
| a manifold.
|
| The rest of the chapter is devoted to the tangent space in general.
| It is seen to be a manifold whose charts and chart maps are derived
| from those of the underlying manifold.  It is seen to have vector
| space properties.  Similar properties of maps between tangent
| manifolds are examined.  The differentiating properties of
| these induced maps are noted.
|
| Doolin &amp; Martin, DGFE,