This fifth edition of Applied Numerical Analysis retains many of the features of the fourth edition.At the same time,there are significant changes;the details of these changes are presented later.
Applied Numerical Analysis is written for sophomores and juniors in engineering,science,mathematics,and computer science.
It is also valuable as a sourcebook for practicing engineers and scientists who need to use numerical procedures to solve problem. We have been gratified to find that many who purchased this book as students keep it as a permanent part of their reference library because its readability and breadth allow them to expand their knowledge of the subject by self-study.
While it is assumed that the reader has a good knowledge of calculus,appropriate topics are reviewed in the context of their use,and an appendix gives a summary of the most important items that are used to develop and analyze numerical procedures.
The mathematical notation is purposely kept simple for clarity.
0. Numerical Computing and Computers
1. Solving Nonlinear Equations
2. Solving Sets of Equations
3. Interpolation and Curve Fitting
4. Numerical Differentiation an Numerical Integration
5. Numerical Solution of Ordinary Differential Equations
6. Boundary-Value Problems and Characteristic-Value Problems
7. Numerical Solution of Partial-Differential Equations
8. Parabolic Partial-Differential Equations
9. Hyperbolic Partial-Differential Equations
10. Approximation of Functions