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Elementary Theory and Philip Spain ()
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Philip Spain: University of Glasgow, Department of Mathematics

Chapter Chapter I in Elements of Mathematics Functions of a Real Variable, 2004, pp 3-49 from Springer

Abstract: Abstract As was said in the Introduction, in this chapter and the next we shall study the infinitesimal properties of functions which are defined on a subset of the real field R and take their values in a Hausdorff topological vector space E over the field R; for brevity we shall say that such a function is a vector function of a real variable. The most important case is that where E = R (real-valued functions of a real variable). When E = R n , consideration of a vector function with values in E reduces to the simultaneous consideration of n finite real functions.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59315-4_2

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DOI: 10.1007/978-3-642-59315-4_2

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