1 Preliminaries
1.1 Review of Calculus
1.2 Binary Numbers
1.3 Error Analysis
2 Solution of Nonlinear Equations
2.1 Iteration for Solving x=g(x)
2.2 Bracketing Methods for Locating a Root
2.3 Initial Approximation and Convergence Criteria
2.4 Newton-Raphson and Secant Methods
2.5 Aitden's Process and Steffensen's and Muller's Methods
3 Solution of Linear Systems AX=B
3.1 Introduction to Vectors and Matrices
3.2 Properties of Vectors and Matrices
3.3 Upper-Triangular Linear Systems
3.4 Gaussian Elimination and Pivoting
3.5 Triangular Factorzation
3.6 Iterative Methods for Linear Systems
3.7 Iteration for Nonlinear Systems:Seidel and Newton's Methods
4 Interpolation and Polynomial Approximation
4.1 Taylor Series and Calculation of Functions
4.2 Introduction to Interpolation
4.3 Lagrange Approximation
4.4 Newton Polynomials
4.5 Chebyshev Polynomials
4.6 Pade Approximations
5 Curve Fitting
6 Numerical Differentiation
7 Numerical Integration
8 Numerical Optimization
9 Solution of Differential Equations
10 Solution of Partial Differential Equations
11 Eigenvalues and Eigenvectors
Appendix:Introduction to MATLAB
Answers to Selected Exercises
Index