Description: Part One Modeling, Computers, and Error Analysis 1. Mathematical Modeling Numerical Methods and Problem Solving 2. MATLAB Fundamentals 3. Programming with MATLAB 4. Roundoff and Trunication Errors Part Two Roots and Optimization 5. Roots: Bracketing Methods 6. Roots: Open Methods 7. Optimization Part Three Linear Systems 8. Linear Algebraic Equations and Matrices 9. Gauss Elimination 10. LU Factorization 11. Matrix Inverse and Condition 12. Iterative Methods Part Four Curve Fitting 13. Linear Regression 14. General Linear Least-Squares and Non-Linear Regression 15. Polynomial Interpolation 16. Splines and Piecewise Interpolation Part Five Integration and Differentiation 17. Numerical Integration Formulas 18. Numerical Integration of Functions 19. Numerical Differentiation Part Six Ordinary Differential Equations 20. Initial-Value Problems 21. Adaptive Methods and Stiff Systems 22. Boundary-Value Problems Appendix A: Eigenvalues Appendix B: MATLAB Built-in Functions Appendix C: MATLAB M-File Functions Bibliography Index

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