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Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory: Second Edition. Theodore J. Rivlin

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ISBN: 9780486842332 | 272 pages | 7 Mb

• Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory: Second Edition
• Theodore J. Rivlin
• Page: 272
• Format: pdf, ePub, fb2, mobi
• ISBN: 9780486842332
• Publisher: Dover Publications

Download Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory: Second Edition

French textbook ebook download Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory: Second Edition 9780486842332 PDF ePub PDB by Theodore J. Rivlin

This 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 iterative properties. The final chapter explores selected algebraic and number theoretic properties of the Chebyshev polynomials. For advanced undergraduates and graduate students in mathematics Originally published in 1974, the text was updated in 1990; this reprint of the second edition corrects various errors and features new material.

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In mathematics, approximation theory is concerned with how functions can best be where P(x) is the approximating polynomial, f(x) is the actual function, and x varies over the Note that, in each case, the number of extrema is N+2, that is, 6. If one calculates the coefficients in the Chebyshev expansion for a function:. Theodore J. Rivlin (Author of An Introduction to the
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