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- Pushforward_(differential) abstract "Suppose that φ : M → N is a smooth map between smooth manifolds; then the differential of φ at a point x is, in some sense, the best linear approximation of φ near x. It can be viewed as a generalization of the total derivative of ordinary calculus. Explicitly, it is a linear map from the tangent space of M at x to the tangent space of N at φ(x). Hence it can be used to push tangent vectors on M forward to tangent vectors on N.The differential of a map φ is also called, by various authors, the derivative or total derivative of φ, and is sometimes itself called the pushforward.".
- Pushforward_(differential) thumbnail Pushforward.svg?width=300.
- Pushforward_(differential) wikiPageID "1558510".
- Pushforward_(differential) wikiPageLength "9119".
- Pushforward_(differential) wikiPageOutDegree "51".
- Pushforward_(differential) wikiPageRevisionID "683634028".
- Pushforward_(differential) wikiPageWikiLink Bundle_map.
- Pushforward_(differential) wikiPageWikiLink Category:Differential_geometry.
- Pushforward_(differential) wikiPageWikiLink Category:Generalizations_of_the_derivative.
- Pushforward_(differential) wikiPageWikiLink Category:Smooth_functions.
- Pushforward_(differential) wikiPageWikiLink Commutative_diagram.
- Pushforward_(differential) wikiPageWikiLink Derivation_(abstract_algebra).
- Pushforward_(differential) wikiPageWikiLink Derivation_(differential_algebra).
- Pushforward_(differential) wikiPageWikiLink Diffeomorphism.
- Pushforward_(differential) wikiPageWikiLink Differentiable_manifold.
- Pushforward_(differential) wikiPageWikiLink Differential_geometry.
- Pushforward_(differential) wikiPageWikiLink Einstein_notation.
- Pushforward_(differential) wikiPageWikiLink Einstein_summation_notation.
- Pushforward_(differential) wikiPageWikiLink Fiber_bundle.
- Pushforward_(differential) wikiPageWikiLink Function_composition.
- Pushforward_(differential) wikiPageWikiLink Functor.
- Pushforward_(differential) wikiPageWikiLink Jacobian_matrix.
- Pushforward_(differential) wikiPageWikiLink Jacobian_matrix_and_determinant.
- Pushforward_(differential) wikiPageWikiLink Jerrold_E._Marsden.
- Pushforward_(differential) wikiPageWikiLink Linear_approximation.
- Pushforward_(differential) wikiPageWikiLink Linear_isomorphism.
- Pushforward_(differential) wikiPageWikiLink Linear_map.
- Pushforward_(differential) wikiPageWikiLink Local_diffeomorphism.
- Pushforward_(differential) wikiPageWikiLink Manifold.
- Pushforward_(differential) wikiPageWikiLink Manifold_(mathematics).
- Pushforward_(differential) wikiPageWikiLink Mathematics.
- Pushforward_(differential) wikiPageWikiLink Matrix_(mathematics).
- Pushforward_(differential) wikiPageWikiLink Open_set.
- Pushforward_(differential) wikiPageWikiLink Open_subset.
- Pushforward_(differential) wikiPageWikiLink Pullback_(differential_geometry).
- Pushforward_(differential) wikiPageWikiLink Pullback_bundle.
- Pushforward_(differential) wikiPageWikiLink Ralph_Abraham.
- Pushforward_(differential) wikiPageWikiLink Section_(fiber_bundle).
- Pushforward_(differential) wikiPageWikiLink Smooth_function.
- Pushforward_(differential) wikiPageWikiLink Smooth_manifold.
- Pushforward_(differential) wikiPageWikiLink Smooth_map.
- Pushforward_(differential) wikiPageWikiLink Smoothness.
- Pushforward_(differential) wikiPageWikiLink Tangent_bundle.
- Pushforward_(differential) wikiPageWikiLink Tangent_space.
- Pushforward_(differential) wikiPageWikiLink Total_derivative.
- Pushforward_(differential) wikiPageWikiLink Vector_bundle.
- Pushforward_(differential) wikiPageWikiLink Vector_bundle_homomorphism.
- Pushforward_(differential) wikiPageWikiLink Vector_field.
- Pushforward_(differential) wikiPageWikiLink File:Pushforward.svg.
- Pushforward_(differential) wikiPageWikiLink File:SmoothPushforward-01.png.
- Pushforward_(differential) wikiPageWikiLinkText "Lie map".
- Pushforward_(differential) wikiPageWikiLinkText "Pushforward (differential)".
- Pushforward_(differential) wikiPageWikiLinkText "Pushforward (differential)#The differential on the tangent bundle".
- Pushforward_(differential) wikiPageWikiLinkText "derivative".
- Pushforward_(differential) wikiPageWikiLinkText "differential or pushforward".
- Pushforward_(differential) wikiPageWikiLinkText "differential".
- Pushforward_(differential) wikiPageWikiLinkText "push forward".
- Pushforward_(differential) wikiPageWikiLinkText "pushforward (differential)".
- Pushforward_(differential) wikiPageWikiLinkText "pushforward or differential".
- Pushforward_(differential) wikiPageWikiLinkText "pushforward".
- Pushforward_(differential) wikiPageWikiLinkText "pushforwards".
- Pushforward_(differential) wikiPageWikiLinkText "tangent map derivative operator".
- Pushforward_(differential) wikiPageWikiLinkText "tangent mapping".
- Pushforward_(differential) hasPhotoCollection Pushforward_(differential).
- Pushforward_(differential) wikiPageUsesTemplate Template:About.
- Pushforward_(differential) subject Category:Differential_geometry.
- Pushforward_(differential) subject Category:Generalizations_of_the_derivative.
- Pushforward_(differential) subject Category:Smooth_functions.
- Pushforward_(differential) hypernym Map.
- Pushforward_(differential) type Software.
- Pushforward_(differential) comment "Suppose that φ : M → N is a smooth map between smooth manifolds; then the differential of φ at a point x is, in some sense, the best linear approximation of φ near x. It can be viewed as a generalization of the total derivative of ordinary calculus. Explicitly, it is a linear map from the tangent space of M at x to the tangent space of N at φ(x).".
- Pushforward_(differential) label "Pushforward (differential)".
- Pushforward_(differential) sameAs Pushforward.
- Pushforward_(differential) sameAs Aplicación_progrediente.
- Pushforward_(differential) sameAs 미분사상.
- Pushforward_(differential) sameAs Odwzorowanie_styczne.
- Pushforward_(differential) sameAs m.05b8d3.
- Pushforward_(differential) sameAs Дифференциал_(дифференциальная_геометрия).
- Pushforward_(differential) sameAs Диференціал_(диференціальна_геометрія).
- Pushforward_(differential) sameAs Q1969983.
- Pushforward_(differential) sameAs Q1969983.
- Pushforward_(differential) sameAs 前推_(微分).
- Pushforward_(differential) wasDerivedFrom Pushforward_(differential)?oldid=683634028.
- Pushforward_(differential) depiction Pushforward.svg.
- Pushforward_(differential) isPrimaryTopicOf Pushforward_(differential).