
Re: Tensor Definition
Posted:
Jul 12, 2013 8:25 PM


On Mon, 08 Jul 2013 20:23:37 0400, Shmuel (Seymour J.) Metz <spamtrap@library.lspace.org.invalid> wrote:
>In <kredj6$tsp$1@ra.nrl.navy.mil>, on 07/08/2013 > at 09:07 AM, "J.B. Wood" <john.wood@nrl.navy.mil> said: > >>Hello, all. Just when I think I've got a good handle on tensors >>(after painstakingly reading and working problems in Louis Brand's >>"Vector and Tensor Analysis"), > >As I recall, that book was written back when it was common to describe >tensors in terms of the way that their components changed under a >coördinate transformation. The modern view is more abstract and, IMHO, >easier to understand. > >>I come across the following in MerriamWebster's >>Collegiate Dictionary: >>"A generalized vector with more than three components each of which >>is a function of an arbitrary point in space of an appropriate >>number of dimensions" > >That sounds positively 19th Century; I certainly don't know of any >mathematician who would assume that a vector is 3 dimensional, and >physicists routinely deal with 4vectors, to say nothing of the >manifolds that pop up in String Theory.
Long, long time before that (vapourware?) physcists became very comforatable with Hilbert spaces.

