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The peculiarity of the presented monograph is connected with the natural complementarities of the knowledge spheres, which are mostly considered separately and isolated. It is namely programming and fractality, self-organization and artificial intelligence, education, economic and ecology. This integrity is achieved owing to the fractal application of synergetics and the possibility of obtaining completely new properties at the junction of adjacent spheres. Another unique aspect of the book lies in the fact that integrity of information perception does not manifest itself artificially but rather naturally. That is primarily the information restoration of the integrity and structuring of the systems. The results obtained for certain systems and areas of knowledge, including physics of the non-crystalline and intelligent materials, may function with new properties and attributes in other systems, such as cyber systems and education, ecology. The synergetic approach allows describing systems of a diverse nature as a whole, while preserving their uniqueness and originality. Shown also is the possibility of implementation of the approach in the self-organization of information systems.