Francesco Carlini:开普勒方程和奇异微分方程的渐近解

IF 0.5 3区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Historia Mathematica Pub Date : 2020-11-01 DOI:10.1016/j.hm.2020.06.001

Andrea Sacchetti

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引用次数: 2

摘要

卡里尼的职业生涯主要致力于天文学，但他也是一位特别熟练的数学家。在本文中，我们详细地收集和分析了他的数学贡献。特别是，在他1817年关于开普勒方程的重要回忆录中，他引入了一个创新的思想，用渐近展开的方法求解奇异微扰的常微分方程。在同一本回忆录中也出现了，比拉普拉斯的贡献早五年，通常被称为拉普拉斯极限常数。此外，Carlini发表了其他数学回忆录，提前70年预测了兰伯特特殊函数的复杂分支的重要性。

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Francesco Carlini: Kepler's equation and the asymptotic solution to singular differential equations

Carlini's career was mainly dedicated to astronomy, but he was also a particularly skilled mathematician. In this article we collect and analyse his mathematical contributions in detail. In particular, in his important Memoir of the year 1817 devoted to Kepler's equation he introduced an innovative idea to solve ordinary differential equations with singular perturbations by means of asymptotic expansions. In the same Memoir also appeared, five years before Laplace's contributions, what is usually called the Laplace limit constant. Furthermore, Carlini published other mathematical Memoirs anticipating, 70 years in advance, the importance of complex branches of the Lambert's special function.

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来源期刊

Historia Mathematica 数学-科学史与科学哲学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

72 days

期刊介绍： Historia Mathematica publishes historical scholarship on mathematics and its development in all cultures and time periods. In particular, the journal encourages informed studies on mathematicians and their work in historical context, on the histories of institutions and organizations supportive of the mathematical endeavor, on historiographical topics in the history of mathematics, and on the interrelations between mathematical ideas, science, and the broader culture.