Given a vector field (4x+2x^3z)i-y(x^2 +y^2)j -(3x^2z^2 +4y^2z)k which closed surface has the greatest flux. I imagine that the divergence theorem palys a role but I'm not sure. please anwer ! This is killing me!
THen wouldn't that mean that time dilation and therefore all relativistic effects only apply in vacuum? i mean since the speed of light is not the same to all observers in non vacuum.
Why is the c in the the time dilation formula have the be the speed of light in a vacuum and not the one in the medium through which an observer sees it move?
Say for example we do that thought experiment used to derive the formula, in a much denser medium(in which the speed of light is...
This is a very stupid question. extremely stupid. In fact I'm extremely embarassed.
I was reading a text on electromagnetism, and it said that since the flux due to a charge does not depend on the radius of the sphere then the formula, q/permitivitty applies to all closed surfaces. This is...
Is schaum's, tensor calculus outline a good introduction to the basics of the subject? I'm looking for something that isn't too formal and purely elementary.
I was wondering what book would be useful in learning special relativity and basic general relativity. I know vector calculus, multivariable calculus, and a bit of variational calculus. I'm looking for something that takes an informal approach to the underlying mathematics(but still rigorous)...
I'm looking for a good book on riemannian geometry, with a minimum of prerequistes and that takes a more intutive rather than formal approach.
I know a bit of calculus of variations, multivariable calculus, vector calculus, and a bit of linear algebra.