This book presents the theory and practical application of the key equation approach, which provides a strong general framework for modeling in a variety of disciplines. The aim of this book is not only to highlight different mathematical solution approaches, but also to reveal their potential through practical examples.

The first part of the book, which can be used as a toolbox, presents the basics of selected statistics and methods of solution for the Master Equation. In the second and third part, the main equation approach is applied to important applications in natural and social sciences. Case studies have been presented mainly from social sciences, including urban and regional dynamics, population dynamics, dynamic decision theory, and opinion formation. Traffic dynamics However, some applications of physics and chemistry are treated as well, thus confirming the possibility of multidisciplinary modeling of the key equation approach.

Drawing on extensive experience in teaching, research and counseling, the book offers a valuable guide for researchers, graduate students and professionals alike.