Tensors in waiting

 The new math post, Tensors,  is here. It starts like that:

Tensors

Posted on 2025/12/10 by arkajad

Originally, while writing the previous post, I was convinced that this one should be devoted to the Grassmann (or exterior) algebra.  I even began drafting it and managed about half a page before realizing that, if the promise of a truly “gentle” approach is to be taken seriously, there is an earlier stop on the journey. Before exterior algebra can comfortably appear on stage, one really ought to say a few clear words about tensors in general.​

Moreover, since the plan is to reach Maxwell’s equations at some point, we will also need pseudo-tensors and tensor densities—those slightly more exotic geometric objects that insist on transforming with a twist. So, in this post, tensors and their “relatives” will make their entrance; Grassmann will simply have to wait his turn in the queue of structures. After all, even in mathematics, good manners suggest introducing the family before discussing the exterior.

Then there is an illustration:

And, right after that,  then there is math....