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.
• NEW - Expanded emphasis on analysis of competing methods and issues of error. • NEW - Rewritten chapter on numerical optimization. • NEW - New topics for minimization of z = f(x,y) are included. • NEW - Projects for undergraduate library research experience have been added. • Explicit use of the software MATLAB is offered. • Each numerical method is presented in a self-contained format. • Balance of theory and application. • A variety of problems to sharpen students skills with extensive problem sets with a wide variety of activities. • A wealth of tables and graphs which illustrates computer calculations in examples making the resulting numerical approximations easier to interpret.