---------------------------------------------- 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.
Features - Covers the most common numerical methods encountered in science and engineering - Illustrates the methods using MATLAB - Presents numerous examples and exercises, with selected answers at the back of the book ---------------------------------------------- Table of 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 The Method of least-squares 8 Numerical Optimization 9 Numerical Differentiation 10 Numerical Integration 11 Numerical Methods for Linear Integral Equations 12 Numerical Methods for Differential Equations 13 Boundary-Value Problems 14 Eigenvalues and Eigenvectors 15 Dynamical Systems and Chaos 16 Partial Differential Equations Bibliography and References Appendix A Calculus Review Appendix B MATLAB Built-in Functions Appendix C Text MATLAB Functions Appendix D MATLAB GUI Answers to Selected Exercises