By J.C. Mason,David C. Handscomb

Chebyshev polynomials crop up in almost each quarter of numerical research, and so they carry specific value in contemporary advances in matters equivalent to orthogonal polynomials, polynomial approximation, numerical integration, and spectral tools. but no e-book devoted to Chebyshev polynomials has been released considering that 1990, or even that paintings concentrated totally on the theoretical facets. A huge, updated therapy is lengthy overdue.

Providing hugely readable exposition at the subject's cutting-edge, Chebyshev Polynomials is simply this sort of remedy. It contains rigorous but down-to-earth insurance of the speculation in addition to an in-depth examine the houses of all 4 different types of Chebyshev polynomials-properties that result in quite a number ends up in components reminiscent of approximation, sequence expansions, interpolation, quadrature, and essential equations. difficulties in every one bankruptcy, ranging in hassle from user-friendly to particularly complicated, strengthen the innovations and strategies presented.

Far from being an esoteric topic, Chebyshev polynomials lead one on a trip via all components of numerical research. This ebook is the correct motor vehicle with which to start this trip and one who also will function a typical reference for a few years to come.

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