Download e-book for iPad: Chebyshev Polynomials by J.C. Mason,David C. Handscomb

By J.C. Mason,David C. Handscomb

Chebyshev polynomials crop up in nearly each region of numerical research, and so they carry specific significance in contemporary advances in matters comparable to orthogonal polynomials, polynomial approximation, numerical integration, and spectral tools. but no publication devoted to Chebyshev polynomials has been released considering 1990, or even that paintings centred totally on the theoretical features. A large, updated remedy is lengthy overdue.

Providing hugely readable exposition at the subject's state-of-the-art, Chebyshev Polynomials is simply this sort of remedy. It comprises rigorous but down-to-earth insurance of the idea besides an in-depth examine the homes of all 4 different types of Chebyshev polynomials-properties that bring about various leads to components resembling approximation, sequence expansions, interpolation, quadrature, and imperative equations. difficulties in each one bankruptcy, ranging in hassle from straightforward to rather complicated, make stronger the ideas and techniques presented.

Far from being an esoteric topic, Chebyshev polynomials lead one on a trip via all parts of numerical research. This publication is the perfect automobile with which to start this trip and person who also will function a customary reference for a few years to come.

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Chebyshev Polynomials by J.C. Mason,David C. Handscomb

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