Joseph Louis Lagrange's algebraic vision of the calculus

DOI10.1016/0315-0860(87)90002-4zbMath0617.01012OpenAlexW2000041725MaRDI QIDQ1821766

Craig G. Fraser

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0315-0860(87)90002-4

zbMATH Keywords

variational calculusordinary differential equationsanalytical theorems

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of ordinary differential equations (34-03)

Related Items (13)

Limit-free derivatives ⋮ Lagrange formal calculus as applied to Lagrange mechanics: An exercise in anachronism ⋮ Geometry and analysis in Anastácio da Cunha's calculus ⋮ The foundational aspects of Gauss's work on the hypergeometric, factorial and digamma functions ⋮ Isoperimetric problems in the variational calculus of Euler and Lagrange ⋮ Euler and the structure of mathematics ⋮ Rigor and Clarity: Foundations of Mathematics in France and England, 1800–1840 ⋮ Lagrange and the solution of numerical equations ⋮ Lagrange's theory of analytical functions and his ideal of purity of method ⋮ Functions, functional relations, and the laws of continuity in Euler ⋮ Exceptions and counterexamples: understanding Abel's comment on Cauchy's theorem ⋮ Algebraic analysis in Germany, 1780-1840: Some mathematical and philosophical issues ⋮ Lagrange and the calculus of variations

Cites Work

• J. L. Lagrange's changing approach to the foundations of the calculus of variations
• Brook Taylor and the method of increments
• Lagrange's early contributions to the theory of first-order partial differential equations
• Euler's Vision of a General Partial Differential Calculus for a Generalized Kind of Function
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