Numerical analysis is a branch of mathematics that deals with the development and implementation of algorithms for solving mathematical problems by numerical approximation. It involves the study of methods for solving equations, interpolation and approximation of functions, integration, differentiation, and optimization. Numerical analysis plays a crucial role in scientific computing, engineering, and other fields where numerical solutions are needed to solve complex problems that cannot be solved analytically. It also involves the analysis of the accuracy, stability, and convergence of numerical methods to ensure the reliability and efficiency of the computations.