Elementary Numerical Analysis

Offering a clear, precise, and accessible presentation, complete with MATLAB programs, this new Third Edition of Elementary Numerical Analysis gives students the support they need to master basic numerical analysis and scientific computing. Now updated and revised, this significant revision features reorganized and rewritten content, as well as some new additional examples and problems.
The text introduces core areas of numerical analysis and scientific computing along with basic themes of numerical analysis such as the approximation of problems by simpler methods, the construction of algorithms, iteration methods, error analysis, stability, asymptotic error formulas, and the effects of machine arithmetic.

Spis treści:
Chapter 1. Taylor Polynomials.
Chapter 2. Error and Computer Arithmetic.
Chapter 3. Rootfinding.
Chapter 4. Interpolation and Approximation.
Chapter 5. Numerical Integration and Differentiation.
Chapter 6. Solution of Systems of Linear Equations.
Chapter 7. Numerical Linear Algebra: Advanced Topics.
Chapter 8. Ordinary Differential Equations.
Chapter 9. Finite Difference Method for PDEs.
Appendix A: Mean Value Theorems.
Appendix B: Mathematical Formulas.
Appendix C: Numerical Analysis Software Packages.
Appendix D: Matlab: An Introduction.
Appendix E: The Binary Number System.
Answers to Selected Problems.
Bibliography.
Index.