ABSTRACT

In view of physics and engineering, a tensor is regarded to be a collection of index quantities; we thus often say that tensors are generalizations of scalars (that have no indices), vectors (exactly one index), and matrices (exactly two indices), to an arbitrary number of indices. Indeed, the notation for a tensor (i.e., A= [Ai jk`m···]) is similar to that of a matrix (i.e.,A= [Ai j]), except that a tensor may have an arbitrary number of indices.