Mathmatical sociology is a branch of sociology that uses mathmatical models to explain how groups of people interact and form larger social structures. It looks at things like networks of people and the effect that these networks have on things like communication, power, group decision-making, and social movements. It helps us to better understand the dynamics of large-scale patterns in sociology, allowing us to gain insights into things like why certain people may have more social power than others and how the structure of a society influences its development.