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Well, I am nearly finished the computational style calculus and am awaiting my Apostol text to get more into the theory but I also picked up a text called Calculus of Variations for like $5 (Second hand Dover book!) and I wonder will this be the kind of subject you can just jump into after calculus?

It seems to me as this subject is the basis of the Lagrangian formulation of Classical Mechanics, is this correct?