Applied Numerical Methods with MATLAB (3rd Edition, Paperback)

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