The book "Numerical Methods" covers computational methods used in solving mathematical problems using computers. The work covers topics such as numerical approximation, interpolation, extrapolation, solving linear and nonlinear equations, numerical methods for differential and integral equations, optimization, and operations on matrices. Along with the theoretical part, the book also provides many practical examples, algorithms, and solutions through programming. It is intended as a textbook for students of mathematics, engineering, and programming, as well as for specialists involved in scientific computing.