Bouchard's Theorem is a result in the field of mathematics, specifically in the area of complex analysis. It provides conditions under which certain types of functions, known as holomorphic functions, can be approximated by simpler functions. This theorem is particularly useful in understanding the behavior of complex functions in various mathematical contexts. The theorem is named after the mathematician Bouchard, who contributed to the study of complex variables. It helps mathematicians analyze the properties of functions defined on complex domains, making it easier to solve problems related to analytic continuation and conformal mappings.