Abstract
We begin this chapter by introducing a convenient notation that is common in some branches of mathematics for indicating a numeric interval: a comma-separated pair of values, enclosed in square brackets or parentheses, with the convention that a bracket means that the endpoint is included, and a parenthesis indicates that the endpoint is excluded. Thus, [1, 2) is the set of values x for which \( 1 \le x < 2, \) and [2, 3] is the adjacent set for which \( 1 \le x \le 2, \). Endpoint distinction is often important in numerical computation, and we use that interval notation extensively in the rest of this book.
All exact science is dominated by the idea of approximation.
— Bertrand Russell.
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Beebe, N.H.F. (2017). Polynomial approximations. In: The Mathematical-Function Computation Handbook. Springer, Cham. https://doi.org/10.1007/978-3-319-64110-2_3
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DOI: https://doi.org/10.1007/978-3-319-64110-2_3
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