Chebyshev polynomials

"Chebyshev polynomials are encountered in virtually every area of numerical analysis, and they hold particular importance in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focused primarily on the theoretical aspects. A broad, up-to-date treatment is long overdue.". "Providing highly readable exposition on the subject's state of the art. Chebyshev Polynomials is just such a treatment. It includes rigorous yet down-to-earth coverage of the theory, along with an in-depth look at the properties of all four kinds of Chebyshev polynomials - properties that lead to a range of results in areas such as approximation, series expansions, interpolation, quadrature, and integral equation. Problems in each chapter, ranging in difficulty from elementary to quite advanced, reinforce the concepts and methods presented."--BOOK JACKET.