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fib1123
What books include the theory of lagrangian mechanics? And where can i also find some problems?Could lagrangian mechanics help me in solving problems with oscillations?
What Are the Best Books on Lagrangian Mechanics and Problem-Solving Resources?
- Context: Classical
- Thread starter fib1123
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Discussion Overview
The discussion revolves around identifying books that cover the theory of Lagrangian mechanics and resources for problem-solving in this area. Participants explore whether Lagrangian mechanics can assist in solving problems related to oscillations.
Discussion Character
- Exploratory, Technical explanation, Debate/contested
Main Points Raised
- One participant inquires about books that include the theory of Lagrangian mechanics and resources for problems, specifically asking if Lagrangian mechanics can aid in solving oscillation problems.
- Another participant suggests "Mathematical Method of Classical Mechanics" by VI Arnold and "Classical Mechanics: Hamiltonian and Lagrangian Formalism" by Alexei Deriglazov, noting they haven't read the latter.
- A suggestion is made to refer to David Morin's problem book on classical mechanics for problem-solving resources.
- It is mentioned that the applicability of Lagrangian mechanics to oscillation problems depends highly on the specific problem being considered.
- Another participant recommends "Lagrangian and Hamiltonian Mechanics" by Calkin and mentions the corresponding solution manual, along with the suggestion to look for any good classical mechanics book.
- A short introduction to the topic is suggested through "Landau & Lifshitz vol. 1," which is noted for its direct approach using the action principle.
- Another reference provided is "A Student's Guide to Lagrangians and Hamiltonians" by Patrick Hamill, along with Wolfgang Nolting's "Analytical Mechanics."
Areas of Agreement / Disagreement
Participants present multiple book recommendations and resources, but there is no consensus on a single best resource or method for applying Lagrangian mechanics to oscillation problems. The discussion remains open with various viewpoints expressed.
Contextual Notes
Some recommendations are based on personal experience, while others are noted as unverified. The applicability of Lagrangian mechanics to specific problems is acknowledged as dependent on the context of those problems.
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