Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory

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.