Numerical Integration: Lagrange Interpolation, Simpson Rules

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Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.

Explores the composite quadrature formula, digital integration, and numerical integration techniques using interpolating polynomials.

Covers Richardson extrapolation for numerical differentiation to reduce error.

Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.

Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Covers Newton-Cotes integration, Trapezoid rule, Simpson rules, and numerical quadrature conditioning.