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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