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Sequences and Series of Functions

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Elementary Analysis

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Abstract

In this chapter we develop some of the basic properties of power series. In doing so, we will introduce uniform convergence and illustrate its importance. In §26 we prove power series can be differentiated and integrated term-by-term.

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Authors and Affiliations

  1. Department of Mathematics, University of Oregon, Eugene, OR, USA

    Kenneth A. Ross

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  1. Kenneth A. Ross
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Ross, K.A. (2013). Sequences and Series of Functions. In: Elementary Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6271-2_4

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