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This book is meant for engineering students who are use use numerical methods for designing and modeling. all the mathematical problems like differentiation, integration, interpolation, extrapolation, solutions to linear and non-linear equations can be solved using computer oriented numerical methods. Even, the problems whose mathematical solution of any problem is cumbersome(direct formula is not available), numerical method can be used to find the solution to such problems very easily. Due to increase in speed of computer's computation, the numerical methods are widely used in many applications of the engineering.