Introduction to Numerical Analysis Using MATLAB

Designed for courses in numerical analysis and for practicing engineers and scientists, this book addresses the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations.

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Notations

Chapter 1: Number Systems and Errors

Chapter 2: Solutions of Nonlinear Equations

Chapter 3: Systems of Linear Equations

3.2: Properties of Matrices and Determinants

3.3: Numerical Methods for Linear Systems

3.4: Direct Methods for Linear Systems

3.5: Norms of Vectors and Matrices

3.6: Iterative Methods for Solving Linear Systems

3.7: Eigenvalues and Eigenvectors

3.8: Conditioning of Linear Systems

3.9: Summary

3.10: Exercises

Chapter 4: Approximating Functions

Chapter 5: Differentiation and Integration

Chapter 6: Ordinary Differential Equations

Chapter 7: Eigenvalues and Eigenvectors

Appendix A: Some Mathematical Preliminaries

Appendix B: Introduction to MATLAB

Appendix C: Index of MATLAB Programs

Appendix D: Symbolic Computation

Appendix E: Answers to Selected Exercises

Introduction to Numerical Analysis Using MATLAB

Introduction to Numerical Analysis Using MATLAB

Table of Contents