This survey of the most important properties of the Chebyshev polynomials encompasses several areas of mathematical analysis: interpolation theory, orthogonal polynomials, approximation theory, numerical integration, numerical analysis, and ergodic theory. Originally published in 1974, the text was updated in 1990; this reprint of the second edition corrects various errors and features new material, including a chapter introducing elementary algebraic and number theoretic properties of Chebyshev polynomials.
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Theodore J. Rivlin (1926-2006) was on the staff of the IBM Research Division, Thomas J. Watson Research Center, Yorktown Heights, New York. His other Dover book is An Introduction to the Approximation of Functions.
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