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Numerical Analysis by Dutta, Jana, and Top: A Comprehensive Review

7.2 Euler’s Method

The simplest one-step method. It uses the tangent line to approximate the curve. $$y_n+1 = y_n + h f(x_n, y_n) free pdf on numerical analysis by dutta jana top

4. Interpolation and Curve Fitting

Interpolation is the art of estimating the value of a function for an intermediate value of the independent variable, given a set of discrete data points. Numerical Analysis by Dutta, Jana, and Top: A

Systems of Equations: Covers exact and iterative methods for linear systems, as well as scalar and systems of nonlinear equations. Numerical Analysis by Dutta

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Linear Systems: Solving simultaneous equations via Gauss-Elimination and LU Decomposition.