Fiber derivative

In the context of mathematics, specifically in the fields of differential geometry and analysis, a **fiber derivative** often refers to a derivative that is taken with respect to a specific direction in a fiber bundle. ### Fiber Bundles and Fibers - A **fiber bundle** consists of a base space, a total space, and a typical fiber. The fibers are the pre-images of points in the base space and can have complicated structures depending on the problem at hand.