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 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
New Features
? Straight forward and practically oriented explanations.
? Extensive use of engineering examples, and applications are given throughout the book.
? Use of MATLAB as the primary computing environment MATLAB functions have been introduced in every chapter.
? Case studies: these consist of engineering and science applications that are more complex and richer than the standard examples given in the chapters.
Pedagogical features:
? Solved Examples: 106
? Practice Problems :442