This book has been written strictly according to the Common Core syllabus of All Universities of Andhra Pradesh state for B.A/B.Sc. Third Year (Vth Semester) students who are choosing "Numerical Methods" under course 6A as elective. It covers Finite Differences and Interpolation with Equal Intervals, Interpolation with Equal and Unequal Intervals, Numerical Differentiation, Numerical Integration and Numerical Solution of Ordinary Differential Equations for the benefit of the students.