From Chaos Theory to Non-Euclidian Geometry. The Basic Principles and Concepts of Fractal Engineering

      Аннотация: In this collection, in addition to fractals and their particular characteristics, the future perspectives and applications as well as theories and fundamental concepts to fractals were discussed at length. Research shows that, if studied meticulously, each of these theoretical discussions could be applied to different practical areas in different fields of investigation. Also, in this collection, after discussing the philosophical foundations of chaos theory such as prostmoderinsm, rationality, and skepticism its effects on different domains of enquiry were elaborated on. In particular, after discussing such issues as order and disorder and the non-Euclidean geometry the characteristics of fractals were enumerated and discussed. In the final two chapters, more technical and advanced discussions as well as the future and current applications related to fractals were presented. This research shows that with studying and considering the characteristics of fractals we can move towards applying them in different domains.

Ключевые слова: chaos theory, Complexity Theory, Euclidean geometry