A dozen lectures on fractals: From an object of admiration to a tool of knowledge

Fractal structures are not just a mathematical abstraction; they are inherent in many phenomena in nature. This understanding became an important achievement in the science of the second half of the 20th century. The concept of fractals has grown into a new mathematical model that provides a unified description of properties inherent in many natural phenomena. This explains the modern popularity of the fractal approach to analyzing various objects. This educational guide, consisting of twelve lectures, introduces the reader to the basic information about fractals and the possibility of applying the idea of fractality in studying natural phenomena. The characteristic feature of the lectures is their practical orientation; the reader not only learns about the characteristics of the phenomenon but also, with a computer program at hand, can replicate the results presented in the text and conduct independent research. This will allow them to confirm the existence of the described phenomena and feel like a discoverer. The book is intended for students and a wide range of readers. It will be useful for representatives of both technical and humanitarian specialties who would like to familiarize themselves with the science of fractals - such an interesting and developing scientific field.