Numerical Methods for Engineers – Steven Chapra – 2nd Edition

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