The Logarithm and the Exponential Function

Steen Pedersen ()
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Steen Pedersen: Wright State University, Department of Mathematics

Chapter 8 in From Calculus to Analysis, 2015, pp 157-173 from Springer

Abstract: Abstract The natural logarithmic and exponential functions are constructed in this chapter. In addition to establishing the standard properties of these functions we show the number $e$ is transcendental, construct a smooth compactly supported function (a “bump” function), and define the Euler constant $\gamma .$

Keywords: Euler Constant; Basic Computational Properties; Inverse Function Rule; Bump Function; Charles Hermite (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-13641-7_8

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