# Definition:Tangent Map

Jump to navigation
Jump to search

## Definition

### Differentable Mappings

This article is incomplete.You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by expanding it.To discuss this page in more detail, feel free to use the talk page.When this work has been completed, you may remove this instance of `{{Stub}}` from the code.If you would welcome a second opinion as to whether your work is correct, add a call to `{{Proofread}}` the page. |

### Affine Transformation

Let $\EE$ and $\FF$ be affine spaces with difference spaces $E$ and $F$ respectively.

Let $\LL: \EE \to \FF$ be an affine transformation.

The associated linear transformation $L: E \to F$ of difference spaces is called the **tangent map** of $\LL$.