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Interest in Areas of Classical Mechanics
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[QUOTE="jtbell, post: 5450792, member: 20524"] Newtonian mechanics is based directly on Newton's laws of motion. Lagrangian and Hamiltonian mechanics are alternative formulations which can be derived from Newtonian mechanics. It's easier to solve certain types of problems using them. They also provide a more "natural" or "direct" transition to quantum mechanics. In the USA, students usually study them in an "upper division" mechanics course in the third or fourth year of university (sometimes second year), following a first-year introductory physics course based on Newtonian mechanics. Prerequisites are at least a full calculus sequence including partial derivatives, probably also a course in differential equations, depending on how the mechanics course is taught. Typical textbooks are Fowles/Cassiday, Thornton/Marion, and Symon. [URL]https://en.wikipedia.org/wiki/Lagrangian_mechanics[/URL] [URL]https://en.wikipedia.org/wiki/Hamiltonian_mechanics[/URL] [/QUOTE]
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