Potential theory is a branch of mathematics that deals with harmonic functions and their properties, especially in relation to partial differential equations. Synonyms for potential theory include harmonic analysis and function theory. Harmonic analysis is the study of the properties and behavior of harmonic functions, which are solutions to certain types of differential equations. Function theory is concerned with the study of functions of complex numbers and their properties, using tools and techniques from analysis and geometry. Other synonyms for potential theory might include the study of Poisson equations and Laplace equations, as these are the primary types of partial differential equations encountered in this field.