To be fair, this is about classical electromagnetism.

What is annoying though, it is the pervasive practice according to which some authors completely ignore H ("intensity of the magnetic field") while others pretend to know nothing (and nor should their students) about B ("magnetic induction").

Somewhat less annoyingly, the teachers of electromagnetism rarely introduce the students to the formulation in terms of differential forms, which many consider a better, more intuitive way of doing electrodynamics compared to vector analysis (which student still should learn, of course).