Chebyshev Polynomials : From Approximation Theory to Algebra and Number Theory (2 Rev ed)

This text has been revised due to renewed interest in the topic because of its use as a tool in numerical analysis and to computer scientists working in approximation theory.

The following new material is included: a chapter on algebraic and number-theoretic properties of the Chebyshev polynomials; a chapter describing the historical role of the Chebyshev polynomials in the design of linkages, properties of the graphs of the Chebyshev polynomials, and multivariate generalizations of the polynomials.