A01=David C. Handscomb
A01=J.C. Mason
advanced mathematical modeling
Author_David C. Handscomb
Author_J.C. Mason
Category=PBKJ
Category=PBKS
Category=PBW
Category=UB
Category=UY
Chebyshev Polynomial Tn
Chebyshev Polynomials
Chebyshev Series
Chebyshev Series Expansion
Collocation Equations
Collocation Method
Collocation Points
cos
Cos I?
Cos Iθ
Cos K?
Cos Kθ
Cos Θk
discrete
Discrete Orthogonality
eq_bestseller
eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
expansions
integral equation solutions
least squares fitting
Minimax Approximation
Minimax Property
Monic Polynomials
Normed Linear Space
numerical analysis methods
numerical solution of differential equations
orthogonal
Orthogonal Polynomial Expansion
Orthogonal Polynomial System
orthogonality
partial
Partial Sum
Polynomial Approximation
polynomial interpolation
Pseudospectral Methods
recurrence
relation
series
Shifted Chebyshev Polynomial
Sin 12?
Sin 12θ
spectral approximation techniques
sum
Tau Method
Ultraspherical Polynomials
Vice Versa
Product details
- ISBN 9780849303555
- Weight: 680g
- Dimensions: 156 x 234mm
- Publication Date: 17 Sep 2002
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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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.
