J. L. Lagrange's changing approach to the foundations of the calculus of variations

DOI10.1007/BF00329871zbMath0567.01011OpenAlexW2073670956MaRDI QIDQ1059621

Craig G. Fraser

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00329871

zbMATH Keywords

L. Eulerintegrabilityfoundations of the calculus of variationsnon-parametric method

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of calculus of variations and optimal control (49-03) History of mathematics in the 19th century (01A55)

Related Items (9)

The origins of Euler's variational calculus ⋮ Lagrange formal calculus as applied to Lagrange mechanics: An exercise in anachronism ⋮ Developing into series and returning from series: A note on the foundations of eighteenth-century analysis ⋮ Isoperimetric problems in the variational calculus of Euler and Lagrange ⋮ Euler and the structure of mathematics ⋮ The varieties of mechanics by 1800 ⋮ Joseph Louis Lagrange's algebraic vision of the calculus ⋮ Lagrange's theory of analytical functions and his ideal of purity of method ⋮ Lagrange and the calculus of variations

Cites Work

• J. L. Lagrange's early contributions to the principles and methods of mechanics
• The history of differential forms from Clairaut to Poincaré
• Differentials, higher-order differentials and the derivative in the Leibnizian calculus
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