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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 Di¿erentiation
10 Numerical Integration
11 Numerical Methods for Linear Integral Equations
12 Numerical Methods for Di¿erential Equations
13 Boundary-Value Problems
14 Eigenvalues and Eigenvectors
15 Dynamical Systems and Chaos
16 Partial Di¿erential 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