Article ID: CBB000933767

The Calculus of Variations from Euler to Lagrange: As a Result of Formalized Improvement (2009)

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Jia, Xiaoyong (Author)
Li, Yuewu (Author)


Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Volume: 28
Pages: 312--325


Publication Date: 2009
Edition Details: [Translated title.] In Chinese.
Language: Chinese

The calculus of variations was established as a direct branch of analysis itrh the publication in 1744 of Eurler's Methodus. The invention in 1755 of the d-algorithm of Langrange usherwd in a new eoch in the calculus of variations. From Euler to Lagrane the subject had gone through great innovations. Based on some original literature and the detailed comparison and analysis between methods of Euler and Lagrange, the background and genesis and influence of Lagrange's algorthim are considered and explored in this paper.

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Citation URI
https://data.isiscb.org/isis/citation/CBB000933767/

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Authors & Contributors
Ferraro, Giovanni
Patergnani, Elisa
Jouve, Guillame
Mariano Giaquinta
Pareti, Germana
Yuan, Min
Concepts
Mathematics
Calculus
Differential equations
Differential and integral equations
e (the number)
Statistics
Time Periods
18th century
19th century
17th century
Places
France
Spain
Russia
Italy
Germany
Europe
Institutions
St. Petersburg Academy of Sciences
École Polytechnique, Paris
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