Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory - (Dover Books on Mathematics) by Theodore J Rivlin (Paperback)
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<p/><br></br><p><b> About the Book </b></p></br></br>"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"--<p/><br></br><p><b> Book Synopsis </b></p></br></br>This survey of the most important properties of Chebyshev polynomials encompasses several areas of mathematical analysis: <br> - Interpolation theory <br> - Orthogonal polynomials <br> - Approximation theory <br> - Numerical integration <br> - Numerical analysis <br> - Ergodic theory <br> 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. <br> For advanced undergraduates and graduate students in mathematics <br> Originally published in 1974, the text was updated in 1990; this reprint of the second edition corrects various errors and features new material.<p/><br></br><p><b> About the Author </b></p></br></br>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<i> An Introduction to the Approximation of Functions.</i>
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