Convergence and formal manipulation in the theory of series from 1730 to 1815

DOI10.1016/j.hm.2005.08.004zbMath1169.01010OpenAlexW2001300431WikidataQ56687834 ScholiaQ56687834MaRDI QIDQ885086

Giovanni Ferraro

Publication date: 8 June 2007

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.hm.2005.08.004

zbMATH Keywords

convergencedifferential equationsformal methodstranscendental functionstrigonometric seriesseries

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of mathematics in the 19th century (01A55) History of sequences, series, summability (40-03)

Related Items (4)

Boole’s Untruth Tables: The Formal Conditions of Meaning Before the Emergence of Propositional Logic ⋮ Wronski's Foundations of Mathematics ⋮ Euler and the structure of mathematics ⋮ Throwing Some Light on the Vast Darkness that is Analysis: Niels Henrik Abel's Critical Revision and the Concept of Absolute Convergence

Cites Work

• Convolutions in French mathematics, 1800-1840. Volume I: The settings. Volume II: The turns. Volume III: The data
• The calculus as algebraic analysis: Some observations on mathematical analysis in the 18th century
• Euler's troublesome series: An early example of the use of trigonometric series
• Developing into series and returning from series: A note on the foundations of eighteenth-century analysis
• Functions, functional relations, and the laws of continuity in Euler
• The calculus of operations and the rise of abstract algebra
• Convergence and Formal Manipulation of Series from the Origins of Calculus to About 1730
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence and formal manipulation in the theory of series from 1730 to 1815