Numerical Methods

  1. Curve Fitting and Least Squares
    1. Least Squares Theory
      1. Discrete Least Squares
        1. Problem Formulation
          1. Normal Equations
            1. Geometric Interpretation
            2. Linear Regression
              1. Simple Linear Regression
                1. Multiple Linear Regression
                  1. Coefficient Interpretation
                    1. Statistical Measures
                    2. Polynomial Regression
                      1. Higher-Order Fits
                        1. Overfitting Issues
                          1. Model Selection
                          2. Nonlinear Regression
                            1. Linearization Techniques
                              1. Iterative Methods
                                1. Parameter Estimation
                              2. Orthogonal Functions
                                1. Orthogonality Concepts
                                  1. Weight Functions
                                    1. Gram-Schmidt Process
                                    2. Special Function Approximations
                                      1. Fourier Series
                                        1. Trigonometric Polynomials
                                          1. Coefficient Calculation
                                            1. Periodic Functions
                                            2. Chebyshev Polynomials
                                              1. Recurrence Relations
                                                1. Minimax Approximation
                                                  1. Chebyshev Nodes

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                                              5. Interpolation and Approximation

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                                              7. Numerical Differentiation