Multilinear Algebra and Tensors

Smooth functions, vector fields and 1-forms are tensors of fairly simple types. In order to handle higher order tensors, we will need some rather sophisticated multilinear algebra. The reader who is well grounded in the multilinear algebra of R -modules can skip ahead to Section 7.4, referring to the first three sections only as needed. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.