Part One: Modeling, Computers, and Error Analysis Chapter 1: Mathematical Modeling, Numerical Methods and Problem Solving Chapter 2: MATLAB Fundamentals Chapter 3: Programming with MATLAB Chapter 4: Roundoff and Truncation Errors Part Two: Roots and Optimization Chapter 5: Roots: Bracketing Methods Chapter 6: Roots: Open Methods Chapter 7: Optimization Part Three: Linear Systems Chapter 8: Linear Algebraic Equations and Matrices Chapter 9: Gauss Elimination Chapter 10: LU Factorization Chapter 11: Matrix Inverse and Condition Chapter 12: Iterative Methods Chapter 13: Eigenvalues Part Four: Curve Fitting Chapter 14: Linear Regression Chapter 15: General Linear Least-Squares and Nonlinear Regression Chapter 16: Fourier Analysis Chapter 17: Polynomial Interpolation Chapter 18: Splines and Piecewise Interpolation Part Five: Integration and Differentiation Chapter 19: Numerical Integration Formulas Chapter 20: Numerical Integration of Functions Chapter 21: Numerical Differentiation Part Six: Ordinary Differential Equations Chapter 22: Initial-Value Problems Chapter 23: Adaptive Methods and Stiff Systems Chapter 24: Boundary-Value Problems Appendix A: MATLAB Built-in Functions Appendix B: MATLAB M-file Functions Bibliography Index