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سر فصل های این کتاب عبارتند از:
1- Mathematical Modeling, Numerical Methods, and Problem Solving
2- MATLAB Fundamentals
3- Programming with MATLAB
4- Roundoff and Truncation Errors
5- Roots: Bracketing Methods
6- Roots: Open Methods
7- Optimization
8- Linear Algebraic Equations and Matrices
9- Gauss Elimination
10- LU Factorization
11- Matrix Inverse and Condition
12- Iterative Methods
13- Eigenvalues
14- Linear Regression
15- General Linear Least-Squares and Nonlinear Regression
16- Fourier Analysis
17- Polynomial Interpolation
18- Splines and Piecewise Interpolation
19- Numerical Integration Formulas
20- Numerical Integration of Functions
21- Numerical Differentiation
22- Initial-Value Problems
23- Adaptive Methods and Stiff Systems
24- Boundary-Value Problems