Description
Book SynopsisIntroduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. This title treats the subject of numerical analysis from a mathematical point of view, offering an analysis of methods for scientific computing with appropriate motivations and proofs.
Trade ReviewThis text offers a thorough and elegant presentation of basic topics in numerical analysis. ... the text is skillfully written, by authors who are among the best in the field. Throughout, the presentation shows the unique insights that each brings to the subject. In all, it is an enjoyable text to use." -
Bulletin of Mathematics Books and Computer ScienceTable of Contents
- Preface
- Numerical analysis: What is it?
- 1. Mathematical preliminaries
- 2. Computer arithmetic
- 3. Solution of nonlinear equations
- 4. Solving systems of linear equations
- 5. Selected topics in numerical linear algebra
- 6. Approximating functions
- 7. Numerical differentiation and integration
- 8. Numerical solution of ordinary differential equations
- 9. Numerical solution of partial differential equations
- 10. Linear programming and related topics
- 11. Optimization
- Appendix A. An Overview of mathematical software
- Bibliography
- Index
