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Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory
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Chebyshev Polynomials: From Approximation Theory to Algebra and Number TheoryThis survey of the most important properties of Chebyshev polynomials encompasses several areas of mathematical analysis: Interpolation theory Orthogonal polynomials Approximation theory Numerical integration Numerical analysis Ergodic theory Starting with some definitions and descriptions of elementary properties, the treatment advances to examinations of extremal properties, the expansion of functions in a series of Chebyshev polynomials, and
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but it may be omitted by lay readers without diminishing the book's challenge or detracting from the pleasure-giving nuggets it contains
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