By Johan de De Villiers
The subject matters comprise polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; most sensible approximations within the common surroundings of normed linear areas and internal product areas; most sensible uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formulation ; approximation of periodic features; the uniform convergence of Fourier sequence; spline approximation,with an in depth therapy of neighborhood spline interpolation,and its program in quadrature. routines are supplied on the finish of every chapter
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Mathematics of Approximation: 1 (Mathematics Textbooks for Science and Engineering) by Johan de De Villiers