Can you learn Lagrangian mechanics without calculus of variations?

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patrickd
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Does anyone know of a treatment of Lagrangian and/or Hamiltonian mechanics that would be accessible to someone who is (or was, about forty years ago) reasonably fluent in elementary calculus and Newtonian mechanics? I am less interested in a college textbook than in an overview a la Brian Greene on String Theory or Bruce A. Schumm on particle physics. Is there a level of understanding to be had short of mastering the calculus of variations?
 
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