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Applied Numerical Methods with MATLAB for Engineers and Scientists
Steve C Chapra, Tufts University

Table of Contents

    1 Mathematical Modeling, Numerical Methods and Problem Solving
    2 MATLAB Fundamentals
    3 Programming with MATLAB
    4 Roundoff and Trunication Errors
    5 Roots of Equations: Bracketing Methods
    6 Roots of Equations: Open Methods
    7 Linear Algebraic Equations and Matrices
    8 Gauss Elimination
    9 LU Decomposition
    10 Matrix Inverse and Condition
    11 Iterative Methods for Systems of Equations
    12 Curve Fitting: Fitting a Straight Line
    13 Curve Fitting: General Linear Least-Squares and Nonlinear Regression
    14 Curve Fitting: Polynomial Interpolation
    15 Curve Fitting: Splines
    16 Numerical Integration Formulas
    17 Numerical Integration Functions
    18 Odes: Initial-Value Problems
    19 Odes: Adaptive Methods and Stiff Systems
    20 Eigenvalues
    Appendix A: MATLAB Toolbox Functions
    Appendix B: M-File Functions








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