Real Analysis

Real Analysis is a branch of mathematics that studies real numbers and their properties. It focuses on concepts such as limits, continuity, and convergence, which are essential for understanding calculus. Through rigorous definitions, it examines functions, sequences, and series to establish a foundation for advanced topics like integration and differentiation. Real Analysis helps ensure that mathematical arguments are precise and that conclusions drawn from them are valid, thereby forming the backbone of much of modern mathematics and its applications in science and engineering.