  This paper presents a coordinate free pre-metric formulation of charge free
Maxwell-Minkowski electrodynamics, and of the developed by the authors
non-linear Extended Electrodynamics. First we introduce some formal relations
from multilinear algebra and differential geometry to be used further. Then we
recall and appropriately modify the existing pre-metric formulation of linear
charge free electrodynamics in pre-relativistic and relativistic forms as
preparation to turn to corresponding pre-metric nonlinearization. After some
preliminary examples and notes on nonlinearization, we motivate our view for
existence and explicit formulation of time stable subsystems of the physical
field objects considered. Section 5 presents the formal results of our approach
on the pre-metric nonlinear formulations in static case, in time-dependent
case, and in space-time formulation. In the Conclusion we give our general view
on "why and how to nonlinearize". The Appendix gives a possible formal
extension of our aproach to many subsystem field objects.
