Transformation

Mathematical transformation methods are basic tools in math for handling complex problems by converting information. The core idea is turning unsolved problems into forms that are easier to deal with, like changing to transfer forms, symbolic expressions, or spatial relationships. It mainly includes three types: the averaging method, infinitesimal analysis, and linearization of nonlinear methods, and it’s widely used in areas like data analysis and physical modeling. For example, signal filtering in seismic exploration relies on it. This method is really useful in physics; Galileo, Maxwell, and Einstein all used it to derive important theories, like the mass-energy relationship.