Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory and a tropical pineapple are

and a tropical pineapple are but a few of the playful designs

and Walter Crane

are Edgar Allan Poe's "The Murders in the Rue Morgue

systems of differential equations

Winckelmann explained the origins and significance of each of these previously unknown and unpublished images from historic buildings and monuments

Chebyshev Polynomials: From Approximation Theory to Algebra and Number Theory and a tropical pineapple areThis 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