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

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Key resources for understanding Lagrangian mechanics include "Mathematical Methods of Classical Mechanics" by V.I. Arnold and "Classical Mechanics: Hamiltonian and Lagrangian Formalism" by Alexei Deriglazov. For problem-solving, "David Morin's Problem Book on Classical Mechanics" is recommended. Lagrangian mechanics can be beneficial for solving oscillation problems, depending on the specific context. Other useful texts include "Lagrangian and Hamiltonian Mechanics" by Calkin and "A Short Course in Classical Mechanics" by Landau & Lifshitz, which introduces concepts directly through the action principle. Additional recommendations include "A Student's Guide to Lagrangians and Hamiltonians" by Patrick Hamill and "Analytical Mechanics" by Wolfgang Nolting.
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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