- chap1.m Introduction
- chap2.m Chebyshev points and interpolants
- chap3.m Chebyshev polynomials and series
- chap4.m Interpolants, truncations, and aliasing
- chap5.m Barycentric interpolation formula
- chap6.m Weierstrass approximation theorem
- chap7.m Convergence for differentiable functions
- chap8.m Convergence for analytic functions
- chap9.m Gibbs phenomenon
- chap10.m Best approximation
- chap11.m Hermite integral formula
- chap12.m Potential theory and approximation
- chap13.m Equispaced points, Runge phenomenon
- chap14.m Discussion of higher-order polynomial interpolation
- chap15.m Lebesgue constants
- chap16.m Best and near-best
- chap17.m Orthogonal polynomials
- chap18.m Polynomial roots and colleague matrices
- chap19.m Clenshaw-Curtis and Gauss quadrature
- chap20.m Carathéodory-Fejér approximation
- chap21.m Spectral methods
- chap22.m Linear approximations: beyond polynomials
- chap23.m Nonlinear approximations: why rational functions?
- chap24.m Rational best approximation
- chap25.m Two famous problems
- chap26.m Rational interpolation and linearized least-squares
- chap27.m Padé approximation
- chap28.m Analytic continuation and convergence acceleration
- refs.m References
ERRATA:
Exercise 3.6: the exponent k-1 should be (k-1)/2.
Formula (21.2) is incorrect (p. 166 and inside back cover).