Titlebook: Functions of a Real Variable; Elementary Theory Nicolas Bourbaki,Philip Spain Book 2004 Springer-Verlag Berlin Heidelberg 2004 MSC (2000):

Certainty

Nicolas Bourbaki,Philip SpainIncludes supplementary material:

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https://doi.org/10.1007/978-1-349-23156-0f the real field . and take their values in a . E over the field .; for brevity we shall say that such a function is a .. The most important case is that where E = . (real-valued functions of a real variable). When E = .., consideration of a vector function with values in E reduces to the simultaneo

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https://doi.org/10.1007/978-3-658-28817-4X] we shall mean a . of the vector space K[X] (over K) into itself; since the monomials X. (.≥0) form a basis for this space, . is determined by the polynomials .(X.); specifically, if . with λ.∈K, then.

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Arbeits und Verhaltensweise des Managements,The purpose of this Book is the elementary study of the infinitesimal properties of . real variable; the extension of these properties to functions of . real variables, or, all the more, to functions defined on more general spaces, will be treated only in later Books.

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