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Chebyshev polynomials are important in approximation theory and in the development of spectral methods for the solution of ordinary and partial differential equations. This book gives an up-to-date exposition on the theoretical and practical roles of the Chebyshev polynomials. Theoretical discussions focus on definitions and properties as well as the key formulae for generating the polynomials and computing the expressions that involve them. Practical discussions center on applications that include polynomial approximation, rational approximation, integration, integral equations, and ordinary and partial differential equations, particularly the tau and spectral methods.

Stochastic processes --- Numerical approximation theory --- Chebyshev polynomials. --- 517.58 --- 519.65 --- Chebyshev polynomials --- 517.518.8 --- Functions, Chebyshev's --- Polynomials, Chebyshev --- Tchebycheff polynomials --- Chebyshev series --- Chebyshev systems --- Orthogonal polynomials --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Approximation. Interpolation --- Approximation of functions by polynomials and their generalizations --- 517.518.8 Approximation of functions by polynomials and their generalizations --- 519.65 Approximation. Interpolation --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials

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tekenkunst --- beeldverhalen --- Designers --- Verduyn, Marnix --- Vandewalle, Luc --- Poortere, de, Pieter --- Paquet, Philip --- Schrauwen, Olivier --- Dupré, Steven --- Gisquière, Stijn --- Moor, De, Bob --- Janssen, Jeroen --- Schoofs, Bart --- Joris, Eric --- Devadder, Guido --- Jacobs, Axel --- Cauwenberghe, Van, Constantijn --- Virginie --- Legendre, Marc --- Marvano --- Herr Seele --- Cromheecke, Luc --- Bosschaert, Jan --- Perre, Van de, Gerolf --- Ilah --- Conz --- anno 2000-2099 --- Belgium