  The present work pursues the aim to draw attention to unique possibilities of
the skew-symmetric differential forms. At present the theory of skew-symmetric
exterior differential forms that possess invariant properties has been
developed. In the work the readers are introduced to the skew-symmetric
differential forms that were called evolutionary ones because they possess
evolutionary properties. The combined mathematical apparatus of exterior and
evolutionary skew-symmetric differential forms in essence is a new mathematical
language. This apparatus can describe transitions from nonconjugated operators
to conjugated ones. There are no such possibilities in any mathematical
formalism. In the present work it has been shown that the properties of
exterior or evolutionary forms are explicitly or implicitly accounted for in
all mathematical (and physical) formalisms.
