Chebyshev Polynomials by Jc Mason

Chebyshev Polynomials by Jc Mason

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.

"The book presents a wide panorama of the applications of Chebyshev polynomials to scientific computing[It] is very clearly written and is a pleasure to read. Examples inserted in the text allow one to test his or her ability to understand and use the methods, which are described in detail, and each chapter ends with a section full of very pedagogical problems."
Mathematics of Computation

"The book, by two well known specialists, is well written and presented. Many examples are given and problems have been added for students. It is a book that every numerical analyst should have."
- Numerical Algorithms

"… a modern treatment of the subject … in a carefully prepared way … very well produced … "
- Mathematical Reviews, Issue 2004h

SKU	Unavailable
ISBN 13	9780849303555
ISBN 10	0849303559
Title	Chebyshev Polynomials
Author	Jc Mason
Condition	Unavailable
Publisher	Taylor & Francis Ltd
Year published	2002-09-17
Number of pages	356
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.