Numerical Analysis is very important subject in Mathematics, Physics, and Engineering. Every success in computer technology makes us in sure with success in Numerical Analysis. Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). Numerical analysis naturally finds applications in all fields of engineering and the physical sciences, but in the 21st century also the life sciences and even the arts have adopted elements of scientific computations. Ordinary differential equations appear in celestial mechanics (planets, stars and galaxies); numerical linear algebra is important for data analysis; stochastic differential equations and Markov chains are essential in simulating living cells for medicine and biology. The contents are divided into six chapters. The Calculus Of Finite Differences numerical differentiation, Numerical Integration, Numerical Solution of Ordinary Differential Equations of First Order, Curve Fitting, Solution Of Nonlinear Equations and System of Linear Equations.