An Introduction to Numerical Methods: A MATLAB® Approach, Fourth Edition

Book Description Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB^® Approach, Fourth Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes a new chapter on Dynamical Systems and Chaos.
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Content

Chapter 1. Introduction
Chapter 2. Number System and Errors
Chapter 3. Roots of Equations
Chapter 4. System of Linear Equations
Chapter 5. Interpolation
Chapter 6. Interpolation with Spline Functions
Chapter 7. The Method of Least-Squares
Chapter 8. Numerical Optimization
Chapter 9. Numerical Differentiation
Chapter 10. Numerical Integration
Chapter 11. Numerical Methods for Linear Integral Equations
Chapter 12. Numerical Methods for Differential Equations
Chapter 13. Boundary-Value Problems
Chapter 14. Eigenvalues and Eigenvectors
Chapter 15. Dynamical Systems and Chaos
Chapter 16. Partial Differential Equations