Some tensors correspond to geometric objects or primitives. As I said, vectors can be thought of as very simple tensors. Some other tensors correspond to planes, volumes, and so on, formed directly from 2, 3, or more vectors. Clifford algebra is a part of the tensor algebra, dealing directly with such geometrically significant objects.
Here I will be just posting a simple questions. I know about vectors but now I want to know about tensors. In a physics class I was told that scalars are tensors of rank 0 and vectors are tensors o...
In an introduction to Tensors it is said that tensors are a generalization of scalars, vectors and matrices: Scalars are 0-order tensors, vectors are 1-order tensors, and matrices are 2-order tensors. n-order tensors are simply an n-dimensional array of numbers.
Strictly speaking, tensors of a fixed rank form a vector space (over $\mathbf R$, say), and thus "tensors are vectors" for pure mathematicians who don't work in anything related to physics or differential geometry. But nobody means anything like that when they bring up the issues of tensors vs. vectors.
I am having some confusion over the concept of covariant and contravariant vectors. Most text books on tensors define contravariant vectors/tensors as objects whose components vary inversely to the
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