Series

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

Chapter 10 in From Calculus to Analysis, 2015, pp 205-228 from Springer

Abstract: Abstract We study infinite sums (series) of numbers and of functions. Among the topics are products of series, the Riemann rearrangement theorem, and the theory of power series. As applications we construct a space filling curve, construct a continuous nowhere differentiable functions, and prove the Weierstrass Approximation Theorem.

Keywords: Power Series; Differentiable Function; Dominate Convergence Theorem; Infinite Series; Convergent Series (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-13641-7_10

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DOI: 10.1007/978-3-319-13641-7_10

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