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Analytical Interpretation of the Early Literature on the Theory of Vibrations
Journal of Theoretical and Computational Acoustics ( IF 1.3 ) Pub Date : 2021-02-16 , DOI: 10.1142/s2591728521300014
Allan D. Pierce 1
Affiliation  

A discussion is given of early literature pertaining to the theory of vibration from the time of Pythagoras up through 1750. The paper attempts to give an analytical interpretation to early anecdotal works concerning Pythagoras and to publications of Galileo, Huygens, Hooke, Taylor, John Bernoulli, Leibniz and Euler. To bridge the “culture gap,” mathematical developments by the latter cited authors are, whenever appropriate, rephrased in modern notation, using, for the most part, only those techniques that should have been well known to the authors at the time. The emphasis is on what might be loosely called the physics (or the mathematical physics) of vibration.

中文翻译:

对振动理论早期文献的分析解读

讨论了从毕达哥拉斯时代到 1750 年与振动理论有关的早期文献。本文试图对有关毕达哥拉斯的早期轶事著作和伽利略、惠更斯、胡克、泰勒、约翰·伯努利的出版物进行分析解释,莱布尼茨和欧拉。为了弥合“文化鸿沟”,后引用作者的数学发展在适当的时候用现代符号重新表述,在大多数情况下,只使用当时作者应该熟知的那些技术。重点是可以松散地称为振动的物理学(或数学物理学)。
更新日期:2021-02-16
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