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Exercise 5.22 in the book Geometrical Methods of Mathematical Physics (by Bernard Schutz)
I can't figure it out about the Exercise 5.22 in the book Geometrical Methods of Mathematical Physics (by Bernard Schutz).
Could any one give me a help? Thanks.
($\bar{V}$ means vector V. )
Exercise ...
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Geometric meaning of interior,exterior derivatives, and, Hodge Duality
I've been tinkering with differential forms for a while now, and I've had a few questions all rolled into one trying to understand them. The exterior derivative is quite natural to me - it looks just ...
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The formula for the differential of a vector-valued function
If we have a vector, $\,U=U\left(x_1,x_2,x_3\right)$, in the coordinate axis $\left(x_1,x_2,x_3\right)$, then why does the following differential relation hold?
$$ dU= \left(\frac{\partial U}{\...
user278533
2
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Vectors, Forms, Multivectors, and Tensors
In researching some of the ways that vectors (and vector fields) generalize I find that there are apparently many different objects that generalize them -- matrices, differential forms/ covectors, ...
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