Revision #675 → #1617 · back to history
addedTangent space (informal)e1ac10562924
addedTangent vectors02857d3fdbd5
addedDimension of tangent space equals manifold dimensiona7cb7f19e8e0
addedTangent plane of a sphere99f305df5e42
addedTangent space of an algebraic variety735164d85d7d
addedNon-singular and singular points7d992687d638
addedVector field513f1ef58735
addedTangent bundle4f780e16fed2
addedTangent space via tangent curves2200473d1e83
addedVector-space structure via chartab5a64effd72
addedSmooth functions on a manifoldd0226c822669
addedSmooth functions form a real associative algebra0062c7ce082f
addedDerivation at a point7dfd94440e11
addedDerivation vanishes on constant functionscf3a8f7c238a
addedTangent space as derivationsc2a5ec296fd2
addedZariski tangent space75c9ec0f8f59
addedIsomorphism of curve and derivation tangent spaces21e983533a7b
addedQuotient isomorphic to cotangent space212b08bd4439
addedTangent space via cotangent space8b99ccf5b6d9
addedEquivalence of derivation and cotangent definitionsa0ba2c48de57
addedTangent spaces of an open subset of R^n2efc391ee101
addedDirectional derivative in R^ndd0438214808
addedDerivations in R^n are directional derivativesbc16fa540d79
addedDirectional derivative on a manifold293f2e042bc4
addedCoordinate basis of the tangent space1db8b33d2d38
addedTangent vector as linear combination of basis6dfb3f7a2101
addedDerivative (pushforward) of a smooth map4591122870c9
addedLocal diffeomorphism and inverse function theorem16911228210f