한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)
- 제3권1호
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- Pages.83-94
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- 1996
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
ON THE PROPER QUADRATIC FIRST INTEGRALS IN SYMPLECTIC MANIFOLDS
초록
Classical mechanics begins with some variants of Newton's laws. Lagrangian mechanics describes motion of a mechanical system in the configuration space which is a differential manifold defined by holonomic constraints. For a conservative system, the equations of motion are derived from the Lagrangian function on Hamilton's variational principle as a system of the second order differential equations. Thus, for conservative systems, Newtonian mechanics is a particular case of Lagrangian mechanics.(omitted)
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