Release Date: 17 September, 2002
Hardcover
|
From Book News, Inc.
Offering a broad treatment of Chebyshev polynomials, this exposition on the subject's state of the art provides a rigorous treatment of theory and an in-depth look at the properties of all four kinds of Chebyshev polynomials and their roles in approximation, series expansions, interpolation, quadrature, and integral equations. Chapter problems are included. Coverage progresses from basic properties and formulae through orthogonality, solution of ordinary differential equations, and Chebyshev and spectral methods for partial differential equations. Mason teaches computational mathematics at the University of Huddersfield, UK. Handscomb is affiliated with the Oxford University Computing Laboratory.Copyright © 2004 Book News, Inc., Portland, OR
Book Description
Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances 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 equations. Problems in each chapter, ranging in difficulty from elementary to quite advanced, reinforce the concepts and methods presented.Far from being an esoteric subject, Chebyshev polynomials lead one on a journey through all areas of numerical analysis. This book is the ideal vehicle with which to begin this journey and one that will also serve as a standard reference for many years to come. Rating
|
|
