Before we begin to discuss functions of vectors, we first need to learn how to specify a vector. And before we can answer that, we must first learn where vectors live. In Figure 4.1 we see a curve, C, and a tangent line to that curve. The line can be thought of as the set of all tangent vectors at the point, p. We denote that line as TpC, the tangent space to C at the point p.


Tangent Space Volume Form Geometric Interpretation Tangent Line Coordinate Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Boston 2006

Personalised recommendations