TY - BOOK ID - 1360757 TI - Chebyshev polynomials AU - Mason, John C. AU - Handscomb, David Christopher PY - 2003 SN - 0849303559 9780849303555 PB - Boca Raton (Fla.) : Chapman and Hall/CRC, DB - UniCat KW - Stochastic processes KW - Numerical approximation theory KW - Chebyshev polynomials. KW - 517.58 KW - 519.65 KW - Chebyshev polynomials KW - 517.518.8 KW - Functions, Chebyshev's KW - Polynomials, Chebyshev KW - Tchebycheff polynomials KW - Chebyshev series KW - Chebyshev systems KW - Orthogonal polynomials KW - 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. KW - Approximation. Interpolation KW - Approximation of functions by polynomials and their generalizations KW - 517.518.8 Approximation of functions by polynomials and their generalizations KW - 519.65 Approximation. Interpolation KW - 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. KW - 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 UR - https://www.unicat.be/uniCat?func=search&query=sysid:1360757 AB - 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. ER -