This document provides an introduction to network theory and its major concepts and research areas. It discusses what networks are, common network models, and seminal works that helped establish the field, including sociograms, the small world phenomenon, and theories of strong and weak social ties. Major areas of research covered include distance and effective distance between nodes, the size of interpersonal environments, degrees of separation, and how weak ties help integrate social systems. The document concludes with brief sections on network optimization and analysis.