Network theory (electrical engineering) is a fundamental discipline concerned with the analysis, synthesis, and characterization of electrical circuits and systems comprised of interconnected electrical components such as resistors, capacitors, inductors, sources, and active devices. It employs mathematical models and analytical techniques, including graph theory, differential equations, and transform methods, to determine the behavior of these networks under various conditions, calculate electrical quantities (voltages, currents), and predict system responses. This theory provides the essential framework for understanding, designing, and optimizing a wide range of electrical and electronic technologies, from basic circuits to complex systems like power grids, communication networks, and integrated circuits, often incorporating principles related to networking, network optimization, and the analysis of interconnected systems.