Editing Differential (mathematics) (section)

==Differential geometry==
The notion of a differential motivates several concepts in [[differential geometry]] (and [[differential topology]]).
*The [[Pushforward (differential)|differential (Pushforward)]] of a map between manifolds.
*[[Differential form]]s provide a framework which accommodates multiplication and differentiation of differentials.
*The [[exterior derivative]] is a notion of differentiation of differential forms which generalizes the [[Total derivative|differential]] of a function (which is a [[differential 1-form]]).
*[[Pullback (differential geometry)|Pullback]] is, in particular, a geometric name for the [[chain rule]] for composing a map between manifolds with a differential form on the target manifold.
*[[Covariant derivative|Covariant derivatives or differentials]] provide a general notion for differentiating of [[vector field]]s and [[tensor field]]s on a manifold, or, more generally, sections of a [[vector bundle]]: see [[Connection (vector bundle)]]. This ultimately leads to the general concept of a [[Connection (mathematics)|connection]].