Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive, Solutio problematis isoperimetrici latissimo sensu accepti¶
Euler, L. (1744). Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive, Solutio problematis isoperimetrici latissimo sensu accepti.
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1 citation across 1 artifact.
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Primes¶
- Principle of Least Action
- This confusion arises from Maupertuis's original 1744 framing , which emphasized "least action" in a nature-as-optimizing language; Euler's rigorous calculus-of-variations treatment
This sourceLausanne. 1744. Independent and more rigorous formulation of the principle using calculus of variations; demonstrates that extremal paths satisfy differential equations (Euler-Lagrange precursor); rigorous foundation without teleology. This work established the mathematical rigor that separated the physical principle from its philosophical framing.
- This confusion arises from Maupertuis's original 1744 framing , which emphasized "least action" in a nature-as-optimizing language; Euler's rigorous calculus-of-variations treatment
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