Real Analysis is a branch of mathematics that focuses on the study of real numbers and the functions defined on them. It explores concepts such as limits, continuity, differentiation, and integration, providing a rigorous foundation for calculus. Real Analysis helps mathematicians understand the behavior of functions and sequences, ensuring that mathematical arguments are precise and valid. In Real Analysis, key topics include the properties of real numbers, sequences, and series, as well as the concept of convergence. This field is essential for advanced studies in mathematics, physics, and engineering, as it lays the groundwork for more complex theories and applications in various scientific disciplines.