The origins of Euler's variational calculus

DOI10.1007/BF00394799zbMath0809.01007MaRDI QIDQ1334125

Craig G. Fraser

Publication date: 28 March 1995

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

zbMATH Keywords

variational equationsisoperimetric problem

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• J. L. Lagrange's changing approach to the foundations of the calculus of variations
• Brook Taylor and the method of increments
• The study of partial differential equations of the first order in the 18th and 19th centuries
• Isoperimetric problems in the variational calculus of Euler and Lagrange
• Differentials, higher-order differentials and the derivative in the Leibnizian calculus
• Euler's 1760 paper on divergent series
• Mathematical Technique and Physical Conception in Euler's Investigation of the Elastica
• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti

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