Tensor
A tensor is a generalization of scalars, vectors, and matrices to an arbitrary number of indices.
Tensor is a graduate-level concept that would be first encountered in a differential geometry course.
Prerequisites
Scalar: | A scalar is value (such as a measurement) that has only magnitude but not direction. This contrasts with a vector, which has direction as well as magnitude. |
Tangent Vector: | A tangent vector is a vector pointing in the direction of the tangent line to the graph of a function. |
Vector: | (1) In vector algebra, a vector mathematical entity that has both magnitude (which can be zero) and direction. (2) In topology, a vector is an element of a vector space. |