is there anyone who can tell me a bit what "tensors" , in calculus, are about?

1 ⤊

is there anyone who can tell me a bit what "tensors" , in calculus, are about?

2006-11-23 09:16:43 · 3 answers · asked by B 3 in Science & Mathematics ➔ Mathematics

3 answers

A Tensor is a Multilinear Mapping on a Manifold. You start to learn about them when you take a course on Differential Geometry and you start to learn about Manifolds.

It is a generalisation of the idea of vector field, which can be thought of as a 'vector that varies from point to point'.

2006-11-23 11:08:18 · answer #1 · answered by bostonterrier_97 1 · 0⤊ 0⤋

For any type of force, if the given is:

magnitude only = scalar
magnitude & direction in xy plane = vector
magnitude & direction in xyz plane = tensor

2006-11-23 11:24:06 · answer #2 · answered by Chris 2 · 1⤊ 1⤋

check this out
www.cmiv.liu.se/output/meetings/similar2005/tensortutorial.pdf -

2006-11-23 09:21:27 · answer #3 · answered by traveler_90712 2 · 0⤊ 0⤋