Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory Far from affecting a knowledge

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Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory Far from affecting a knowledgeThis 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