Abstract
The Calculus, from its very beginnings, has featured the idea of “adding” infinitely many numbers. Formal expressions indicating such “additions” i.e., infinite series, were found to offer symbolic solutions to various problems. One such problem: to describe the motions of a stretched elastic string, such as a violin string, was the focus of a major dispute, which proved to be a watershed event in the history of Mathematics. The dispute was about a series solution to the problem and its effect was, ultimately, the clarification of some very basic concepts of Mathematics and its applications. [See González-Velasco [13] or Kline [18], for the history.)
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© 1994 Springer Science+Business Media New York
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Pedrick, G. (1994). Infinite Series. In: A First Course in Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8554-5_7
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DOI: https://doi.org/10.1007/978-1-4419-8554-5_7
Publisher Name: Springer, New York, NY
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