Methods are developed for solving large-scale problems such as those involving large number of equation, large-scale Eigne-value problems and non-linear algebric equations. Interpolation and numerical integration techniques are also presented. Interpolation and numerical integration techniques are also presented. The book deals comprehensively with the solution techniques for initial value problems. Numerical solutions to partial differential equations for boundry value problems by region method, such as finite difference technique, have been elaborately discussed. Computer programs in BASIC, FORTRAN and C are provided, wherever approiate, to enable students to acquire both knowledge and skill in numerical computation and for programming their own practical problems.