Lagrange's theory of analytical functions and his ideal of purity of method

DOI10.1007/s00407-011-0091-4zbMath1239.01052OpenAlexW2102373232MaRDI QIDQ765964

Giovanni Ferraro, Marco Panza

Publication date: 22 March 2012

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-011-0091-4

zbMATH Keywords

analytical functionsLagrange

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of mathematics in the 19th century (01A55) History of real functions (26-03)

Related Items (6)

Analytic and arithmetic methods in Liouville's identities ⋮ Boole’s Untruth Tables: The Formal Conditions of Meaning Before the Emergence of Propositional Logic ⋮ Some Problems in the History of Modern Mathematics ⋮ Virtue theory of mathematical practices: an introduction ⋮ Geometry and analysis in Euler's integral calculus ⋮ Euler and the structure of mathematics

Cites Work

• J. L. Lagrange's changing approach to the foundations of the calculus of variations
• Esprit de rigueur et présentation mathématique au XVIIIème siècle: Le cas d'une démonstration d'Aepinus. (The spirit of rigour and mathematical presentation in the 18th century: the case of a proof of Aepinus)
• 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
• Developing into series and returning from series: A note on the foundations of eighteenth-century analysis
• Differentials and differential coefficients in the Eulerian foundations of the calculus.
• Functions, functional relations, and the laws of continuity in Euler
• Joseph Louis Lagrange's algebraic vision of the calculus
• Neo-Fregean foundations for real analysis: Some reflections on Frege's constraint
• The foundational aspects of Gauss's work on the hypergeometric, factorial and digamma functions
• The concept of function in the 19-th and 20-th centuries, in particular with regard to the discussions between Baire, Borel and Lebesgue
• Herschel, Peacock, Babbage and the development of the Cambridge curriculum
• Convergence and Formal Manipulation of Series from the Origins of Calculus to About 1730
• Is Mathematical Truth Time-Dependent
• Bernard Bolzano et son Mémoire sur le théorème fondamental de l'Analyse
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