3 ms·
Of course you are correct, even though one could argue the linearity of differentiation is a property you can obtain by differentiating in coordinate charts, wh
by chombier 8y ago
Of course you are correct, even though one could argue the linearity of differentiation is a property you can obtain by differentiating in coordinate charts, where the reasoning is still valid.
In any case, it is probably a good thing to get a good intuition of what differentiation and derivatives are in the vector space setting before digging into differential geometry.