Mathematics plays a vital role in the development and solution of physical problems by providing a precise language and powerful tools for modeling natural phenomena. This paper explores the essential applications of various mathematical methods in physics, including differential equations, linear algebra, and statistical analysis. Through theoretical discussion and practical examples, the study demonstrates how mathematical techniques facilitate the formulation, analysis, and resolution of complex physical systems. The integration of mathematical and statistical approaches enhances the accuracy and reliability of physical models, contributing significantly to scientific understanding and technological advancement.