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

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Discussion Overview

The discussion centers around the availability of English translations of Carl Gustav Jacob Jacobi's work on mechanics, particularly focusing on his contributions to Hamiltonian mechanics and the Hamilton-Jacobi formulation. Participants express interest in historical documents and translations related to various mechanics frameworks, including Newtonian and Lagrangian mechanics.

Discussion Character

  • Exploratory
  • Historical
  • Meta-discussion

Main Points Raised

  • One participant seeks English translations of Jacobi's work, specifically regarding the Hamilton-Jacobi formulation of mechanics.
  • Another participant suggests that individuals should first consult Jacobi's Wikipedia page before asking questions on the forum.
  • There is mention of Jacobi's lectures on dynamics and a specific publication of his work from 1996, but one participant expresses a lack of proficiency in German.
  • A later reply identifies a 2009 publication of Jacobi's lectures on dynamics, providing bibliographic details and indicating it may be the relevant work.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the availability of an English translation of Jacobi's work, and there are differing views on the necessity of prior research before posting questions.

Contextual Notes

Participants reference specific historical documents and publications, but there is uncertainty regarding the accessibility of translations and the completeness of the information provided.

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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