意大利数学在法国的形象:拉丁姐妹,从复兴运动到法西斯主义,由frimdsamric Brechenmacher等人编。

Christopher D. Hollings
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引用次数: 2

摘要

以及一篇1760年的论文,直到1766年才由彼得堡皇家学院出版。拉格朗日的文章开始于1762年,他的论文《新方法》承认了伯努利和欧拉的贡献。它出现在《牛头杂记》中。为了确保拉格朗日的创新得到认可,欧拉在接下来的四年里没有发表关于这个主题的文章。在书的最后,我们看到拉格朗日部分地回到了他的d-微积分,在1769年的《杂记》和后来的论文中发表了一篇论文《我的方法的变化》。欧拉在1771年的回忆录中给出了变分积分的新定义和变分积分是最小或最大的必要条件。这本书以最近对平衡方程的研究结束,被称为欧拉-拉格朗日方程,用于寻找变分积分的最小值和变分问题的约束。
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Images of Italian Mathematics in France: The Latin sisters, from Risorgimento to fascism, by Frédéric Brechenmacher et al. (eds)
lin Academy and a paper of 1760 not published until 1766 by the Petersburg Imperial Academy. Articles of Lagrange began in 1762 with his Essai d’une nouvelle m ethode, which recognized the contributions of Bernoulli and Euler. It appeared in theMiscellanea Taurinensia. To be sure that Lagrange received credit for his innovation, Euler did not publish on the subject for another four years. At the close of the book we see Lagrange returning in part to his d-calculus with a paper Sur la m ethode des variations in the 1769 Miscellanea Taurunensia and later treatises. A 1771 memoir by Euler gave a new definition of variation and a necessary condition for a variational integral to be a minimizer or maximizer. The book ends with more recent studies of equilibrium equations, known as Euler–Lagrange equations, for finding minima in variational integrals and with constraints on variational problems.
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