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Aug 28, 2014 at 1:52 history closed Ricardo Andrade
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Ryan Budney
Stefan Kohl
Chris Godsil
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Aug 27, 2014 at 19:02 review Close votes
Aug 28, 2014 at 1:52
Aug 12, 2010 at 12:00 comment added j.c. It seems that what you're trying to pin down is the tangent bundle of a smooth manifold - as a side point, though you specify vector fields "in the sense of advanced calculus rather than say, abstract manifolds", the rest of your discussion on trying to understand changes of coordinates is precisely the motivation to study manifolds in general. John M. Lee's book "An Introduction to Smooth Manifolds" is a book I liked which ought to shed light on what you've asked.
Aug 12, 2010 at 8:53 answer added Jaap Eldering timeline score: 2
Aug 12, 2010 at 8:34 history edited mordiman99 CC BY-SA 2.5
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Aug 12, 2010 at 8:23 history asked mordiman99 CC BY-SA 2.5