paces
|
| The previous chapter defines manifolds and gives several examples of them.
| This chapter considers a basic construction of one manifold from another.
| While the method of construction itself is of interest insofar as it
| illustrates general procedures of modern differential geometry,
| the particular result, the tangent space, is an object of
| great importance.  It is by way of the tangent space
| that calculus can be done in general situations.
|
| To gain familiarity with the idea of a tange