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Numeric Analysis

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A Wikipedia book that pwns

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Interpolation
Polynomial interpolation
Lagrange polynomial
Newton polynomial
Integration
Numerical integration
Simpson's rule
Gaussian quadrature
Linear Systems
Gaussian elimination
Gauss–Jordan elimination
LU decomposition
Cholesky decomposition
Jacobi method
Gauss–Seidel method
Successive over-relaxation
Conjugate gradient method
Jacobi eigenvalue algorithm
Newton's method
Differentials Systems
Initial value problem
Euler method
Runge–Kutta methods
Galerkin method
Poisson's equation
Burgers' equation