For undergraduate Introduction to Numerical Analysis courses in mathematics, science, and engineering departments. This book provides a fundamental introduction to numerical analysis for undergraduate students in the areas of mathematics, computer science, physical sciences, and engineering. Knowledge of calculus is assumed.
1. Preliminaries. 2. The Solution of Nonlinear Equations f (x) = 0. 3. The Solution of Linear Systems AX = B. 4. Interpolation and Polynomial Approximation. 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: An Introduction to MATLAB. Answers to Selected Exercises. Index.