Is there an English translation of Jacobi's work on mechanics?

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SUMMARY

The discussion centers on the availability of English translations of Carl Gustav Jacob Jacobi's work on mechanics, specifically his lectures on dynamics and the historical context of his contributions to Lagrangian and Hamiltonian mechanics. Participants reference key texts such as "Vorlesungen über analytische Mechanik" and "Jacobi's lectures on dynamics," highlighting the importance of these works in understanding Jacobi's formulation of mechanics. The conversation emphasizes the necessity of prior research, particularly through resources like Wikipedia, to facilitate informed inquiries.

PREREQUISITES
  • Familiarity with Newtonian mechanics as outlined in "Principia" and Euler's "Mechanica."
  • Understanding of Lagrangian mechanics through "Analytical Mechanics."
  • Knowledge of Hamiltonian mechanics and its foundational papers.
  • Basic proficiency in German may be beneficial for accessing original texts.
NEXT STEPS
  • Research the English translation of "Jacobi's lectures on dynamics."
  • Explore the historical significance of Jacobi's contributions to mechanics.
  • Investigate the original papers on the Hamilton-Jacobi formulation.
  • Study the implications of Poisson's brackets in mechanics.
USEFUL FOR

Students of physics, historians of mathematics, and researchers interested in classical mechanics and the evolution of mathematical formulations in dynamics.

jonjacson
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Hi folks,

I am interested in the historical original documents.

Newtonian mechanics could be learned from--> Principia and Euler's Mechanica
Lagrangian mechanics--> Analytical Mechanics
Poisson--> I found his teatrise on mechanics where I expect to find out his "brackets", but I have not yet read the books.
Hamiltonian mechanics--> I have found some papers "On a general method in dynamics"But I have no idea about the original papers of the "Hamilton Jacobi" formulation of mechanics. Is there anywhere an english version of Jacobi's work on this topic?

Is there any book following the historical work from Jacobi?

Thanks
 
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dextercioby said:
Friend, in the era of internet, posters are required to read https://en.wikipedia.org/wiki/Carl_Gustav_Jacob_Jacobi first, then come to PF for questions, if any left.

Do you mean this one?

Jacobi's lectures on dynamics

Or this one?

Jacobi, Carl Gustav Jacob (1996) [1848], Vorlesungen über analytische Mechanik, Dokumente zur Geschichte der Mathematik [Documents on the History of Mathematics], 8, Freiburg: Deutsche Mathematiker Vereinigung, doi:10.1007/978-3-322-80289-7, ISBN 978-3-528-06692-5, MR 1414679

If it is the second one I don't know german.
 
The first should be. Jacobi, Carl Gustav Jacob (2009) [1866], Clebsch, A.; Balagangadharan, K.; Banerjee, Biswarup, eds., Jacobi's lectures on dynamics, Texts and Readings in Mathematics, 51, New Delhi: Hindustan Book Agency, ISBN 9788185931913, MR 2569315
 
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