Convergence and Formal Manipulation of Series from the Origins of Calculus to About 1730

DOI10.1080/00033790010028179zbMath1033.01017OpenAlexW1997137921WikidataQ56838109 ScholiaQ56838109MaRDI QIDQ4710153

Giovanni Ferraro

Publication date: 19 March 2004

Published in: Annals of Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00033790010028179

zbMATH Keywords

convergence of seriesA. de Moivreasymptotic and recurrence seriesformal manipulation of seriesJ. Stirling

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of mathematics in the 17th century (01A45) History of sequences, series, summability (40-03)

Related Items (5)

Convergence and formal manipulation in the theory of series from 1730 to 1815 ⋮ Developing into series and returning from series: A note on the foundations of eighteenth-century analysis ⋮ The foundational aspects of Gauss's work on the hypergeometric, factorial and digamma functions ⋮ Euler and the structure of mathematics ⋮ Lagrange's theory of analytical functions and his ideal of purity of method

Cites Work

• Unnamed Item
• Brook Taylor and the method of increments
• Differentials, higher-order differentials and the derivative in the Leibnizian calculus
• Some aspects of Euler's theory of series: Inexplicable functions and the Euler-Maclaurin summation formula
• The first modern definition of the sum of a divergent series: An aspect of the rise of 20th century mathematics

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