FRACTAL ANALYSIS AND MODELLING IN VARIOUS FIELDS OF SCIENCE

<jats:p>The module within the ‘Fractal Analysis and Modelling in Various Fields of Science’ specialisation track of the Master’s programme in Fundamental Training enhances the theoretical knowledge of future lecturers by presenting the phenomenology of fractal analysis within a contemporary interdisciplinary framework. The material in the textbook highlights current trends in the applied use of fractal analysis tools in the physical and mathematical sciences (solid-state physics, materials science), socio-economic fields of knowledge, engineering and technical aesthetics (design). Within the educational component ‘Systemic Approach and Modelling in Scientific Research’, theoretical and empirical representations of the mechanisms of fractal analysis and modelling contribute to the development of students’ research mindset, broadening their transdisciplinary understanding of the multifaceted nature of modelling methods and the synthesis of the STEM paradigm. The authors have systematised their many years of experience in teaching natural science and mathematics subjects, and have supplemented all sections of the publication with graphical and illustrative materials that optimise students’ assimilation of the theoretical and empirical aspects of modelling methodology in scientific research, as well as fractal analytics algorithms. The material in this study guide will be useful for deepening the theoretical knowledge of students pursuing a second (master’s) level of higher education in the specialisations A4.08 Secondary Education (Physics) and A4.04 Secondary Education (Mathematics). The use of generative artificial intelligence (AI) tools in selecting material for the textbook involved the creation of graphics and visualisations, the search for specialist English-language literature, and the compilation of tabular and formulaic material.</jats:p>