Abstract
The current crisis in exact description of fundamental and applied systems has the well-defined origin and rigorously substantiated resolution in the form of qualitatively extended, unified mathematical framework of unreduced dynamic complexity. It is based on the unreduced universal solution of arbitrary interaction problem revealing the new, extended qualities with respect to traditional mathematical constructions. We describe the origin of the problem, the proposed causally complete solution and its mathematical novelties confirmed by problem-solving applications in fundamental and applied sciences.
Andrei Kirilyuk