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Applied Numerical Methods with MATLAB for Engineers and Scientists, 2/e
Steven C. Chapra, Tufts University

Table of Contents

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 Nonlinear 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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