Power Series

Mariano Giaquinta and Giuseppe Modica
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Mariano Giaquinta: Scuola Normale Superiore, Dipartimento di Matematica
Giuseppe Modica: Università degli Studi di Firenze, Dipartimento di Matematica Applicata

Chapter 7 in Mathematical Analysis, 2004, pp 235-295 from Springer

Abstract: Abstract The manipulation of series reaches such levels of subtlety that is hard to imagine even nowadays in the works of Jacob Bernoulli (1654–1705), Johann Bernoulli (1667–1748) and Leonhard Euler (1707–1783), and particularly in the Ars conjectandi by Jacob Bernoulli in Introductio in analisin infinitorum and in Institutiones calculi by Euler.

Keywords: Power Series; Uniform Convergence; Series Solution; Empty Cell; Geometric Series (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4414-7_7

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DOI: 10.1007/978-0-8176-4414-7_7

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