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

By J.C. Mason,David C. Handscomb

Chebyshev polynomials crop up in almost each sector of numerical research, and so they carry specific significance in fresh advances in topics equivalent to orthogonal polynomials, polynomial approximation, numerical integration, and spectral equipment. but no ebook devoted to Chebyshev polynomials has been released for the reason that 1990, or even that paintings concentrated totally on the theoretical facets. A large, updated remedy is lengthy overdue.

Providing hugely readable exposition at the subject's state-of-the-art, Chebyshev Polynomials is simply this kind of remedy. It comprises rigorous but down-to-earth assurance of the speculation besides an in-depth examine the houses of all 4 forms of Chebyshev polynomials-properties that result in more than a few leads to parts equivalent to approximation, sequence expansions, interpolation, quadrature, and quintessential equations. difficulties in every one bankruptcy, ranging in hassle from straightforward to particularly complex, make stronger the recommendations and strategies presented.

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

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