What Is Numerical Analysis? The Collocation Polynomial.Finite Differences.Factorial Polynomials.Summation.The Newton Formula.Operators and Collocation Polynomials.Unequally-Spaced Arguments.Splines.Osculating Polynomials.The Taylor Polynomial.Interpolation.Numerical Differentiation.Numerical Integration.Gaussian Integration.Singular Integrals.Sums and Series.Difference Equations.Differential Equations.Differential Problems of Higher Order.Least-Squares Polynomial Approximation.Min-Max Polynomial Approximation.Approximation By Rational Functions.Trigonometric Approximation.Nonlinear Algebra.Linear Systems.Linear Programming.Overdetermined Systems.Boundary Value Problems.Monte Carlo Methods.

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