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 LeastSquares 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: InitialValue Problems

Chapter 23: Adaptive Methods and Stiff Systems

Chapter 24: BoundaryValue Problems

Appendix A: MATLAB Builtin Functions

Appendix B: MATLAB Mfile Functions

Bibliography

Index
