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Full Description
An Introduction to Numerical Methods: A MATLAB® Approach, Fifth Edition continues to offer readers an accessible and practical introduction to numerical analysis. It presents a wide range of useful and important algorithms for scientific and engineering applications, using MATLAB to illustrate each numerical method with full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes new chapters on Approximation of Continuous Functions and Dealing with Large Sets of Data.
Features:
Covers the most common numerical methods encountered in science and engineering
Illustrates the methods using MATLAB
Ideal as an undergraduate textbook for numerical analysis
Presents numerous examples and exercises, with selected answers provided at the back of the book
Accompanied by downloadable MATLAB code hosted at https/www.routledge.com/9781032406824
Contents
1. Introduction 2. Number System and Errors 3. Roots of Equations 4. System of Linear Equations 5. Interpolation 6. Interpolation with Spline Functions 7. Approximation of Continuous Functions 8. Numerical Optimization 9. Numerical Differentiation 10. Numerical Integration 11. Numerical Methods for Linear Integral Equations 12. Numerical Methods for Ordinary Differential Equations 13. Boundary-Value Problems 14. Eigenvalues and Eigenvectors 15. Dynamical Systems and Chaos 16. Partial Differential Equations 17. Dealing with Large Sets of Data



