Mathview's video: Functions on Manifolds Examples Discussion wmv

@Functions on Manifolds Examples Discussion.wmv

A further discussion of uses of the inverse function theorem. A few examples and a discussion of index notation for the Jacobian matrix of the transformation. Inverse functions can be used to establish a desired topology on a manifold and to preserve the topology of the manifold when you carry out coordinate transformations. We observe that local point topology and the global or large scale topology of a manifold are manifest in the coordinates in R^n. Diffeomorphism is used to preserve the topology of the manifold when changing coordinate systems.

manifolds differential coordinate transformation inverse function theorem jacobian matrix determinate diffeomorphism topology

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This video was published on 2011-10-18 10:28:57 GMT by @Mathview on Youtube. Mathview has total 4.9K subscribers on Youtube and has a total of 147 video.This video has received 6 Likes which are lower than the average likes that Mathview gets . @Mathview receives an average views of 3.8K per video on Youtube.This video has received 0 comments which are lower than the average comments that Mathview gets . Overall the views for this video was lower than the average for the profile.

Mathview's video: Functions on Manifolds Examples Discussion wmv

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