Abstract
Interpolation - polynomial interpolation Lagrangian polynomials divided differences Neville's algorithm spline interpolation the approximation of functions Taylor series approximation polynomial approximation minimax polynomials Chebyshev approximation orthogonal functions Fourier series expansions rational approximation least squares approximation - linear least squares, continuous least squares approximation, discrete least squares approximation integration - simple quadrature Newton-Cotes methods Gauss quadrature formulae composite quadrature Romberg integration adaptive integration the Clenshaw Curtis method differential equations - solution in series, finite element methods, non-linear problems, mathematical background, finite difference approximations.
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