👉 Systems mathematics is a branch of mathematics that deals with the study of complex interactions and relationships between multiple components or subsystems. It focuses on understanding how these parts work together to produce emergent behaviors and properties that cannot be predicted by examining the individual components in isolation. Key concepts include dynamical systems, which model how systems evolve over time; network theory, which examines the structure and dynamics of interconnected systems; and game theory, which analyzes strategic interactions among multiple agents. Systems mathematics often employs tools from linear algebra, differential equations, and topology to model and analyze these interactions, providing insights into phenomena ranging from ecological systems and economic markets to social networks and biological processes.
