Cover -- Preface -- Contents -- Chapter 1 Transcendental and Polynomial Equations -- 1.1 Introduction -- 1.2 Iterative Methods for Simple Roots -- 1.3 Iterative Methods for Multiple Roots -- 1.4 Iterative Methods for a System of Nonlinear Equations -- 1.5 Complex Roots -- 1.6 Iterative Methods for Polynomial Equations -- 1.7 Problems and Solutions -- Chapter 2 Linear Algebraic Equations and Eigenvalue Problems -- 2.1 Introduction -- 2.2 Direct Methods -- 2.3 Iteration Methods -- 2.4 Eigenvalue Problems -- 2.5 Special System of Equations -- 2.6 Problems and Solutions -- Chapter 3 Interpolation and Approximation -- 3.1 Introduction -- 3.2 Lagrange and Newton Interpolations -- 3.3 Gregory-Newton Interpolations -- 3.4 Hermite Interpolation -- 3.5 Piecewise and Spline Interpolation -- 3.6 Bivariate Interpolation -- 3.7 Approximation -- 3.8 Problems and Solutions -- Chapter 4 Differentiation and Integration -- 4.1 Introduction -- 4.2 Numerical Differentiation -- 4.3 Extrapolation Methods -- 4.4 Partial Differentiation -- 4.5 Optimum Choice of Step Length -- 4.6 Numerical Integration -- 4.7 Newton-Cotes Integration Methods -- 4.8 Gaussian Integration Methods -- 4.9 Composite Integration Methods -- 4.10 Romberg Integration -- 4.11 Double Integration -- 4.12 Problems and Solutions -- Chapter 5 Numerical Solution of Ordinary Differential Equations -- 5.1 Introduction -- 5.2 Singlestep Methods -- 5.3 Multistep Methods -- 5.4 Predictor Corrector Methods -- 5.5 Stability Analysis -- 5.6. System of Differential Equations -- 5.7 Shooting Methods -- 5.8 Finite Difference Methods -- 5.9 Problems and Solutions -- Appendix -- Bibliography -- Index.