Elementary Numerical Methods

Abstract

Very often in real applications, one has to solve some complicated equations, where a formula for the result is either impossible to obtain, or it is too complicated for any practical use. In this case one has to rely on a wide range of numerical methods, which very often represent approximations to the real results. These methods are very important in practice and usually offer both an algorithm generating increasingly exact approximations and an approximation for the error. In this chapter we shall discuss the Lagrange polynomial for interpolation data given by a table of values, basic iterative methods used for the numerical integration of real functions and some iterative methods for root finding.