What Are the Best Books on Lagrangian Mechanics and Problem-Solving Resources?

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SUMMARY

The discussion identifies key resources for studying Lagrangian mechanics, emphasizing "Mathematical Method of Classical Mechanics" by V.I. Arnold and "Classical Mechanics: Hamiltonian and Lagrangian Formalism" by Alexei Deriglazov. Additionally, David Morin's problem book on classical mechanics is recommended for practical problem-solving. The conversation confirms that Lagrangian mechanics is beneficial for addressing oscillation problems, with "Lagrangian and Hamiltonian Mechanics" by Calkin and Landau & Lifshitz's volume 1 also highlighted as valuable resources.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with Lagrangian and Hamiltonian formulations
  • Basic mathematical skills for problem-solving in mechanics
  • Access to classical mechanics textbooks and resources
NEXT STEPS
  • Research "Mathematical Method of Classical Mechanics" by V.I. Arnold
  • Explore "Classical Mechanics: Hamiltonian and Lagrangian Formalism" by Alexei Deriglazov
  • Study David Morin's problem book on classical mechanics
  • Investigate "A Student's Guide to Lagrangians and Hamiltonians" by Patrick Hamill
USEFUL FOR

Students and educators in physics, mechanical engineers, and anyone interested in mastering Lagrangian mechanics and solving related problems in classical mechanics.

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?
 
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fib1123 said:
What books include the theory of lagrangian mechanics?
Mathematical Method of Classical Mechanics by VI Arnold

Classical Mechanics: Hamiltonian and Lagrangian Formalism by Alexei Deriglazov (I haven't read this book)

fib1123 said:
where can i also find some problems?

David Morin's problem book on classical mechanics.

fib1123 said:
Could lagrangian mechanics help me in solving problems with oscillations?

Depends highly on the problem.
 
A short introduction is Landau&Lifshitz vol. 1. It doesn't even bother you with "naive mechanics" but uses right away the much simpler approach through the action principle!
 
a student's guide to lagrangians and hamiltonians by patrick hamill, Or you can use landau book, Wolfgang nolting 2 analytical mechanics.
 
Thank you very much guys!
 

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