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Science
Physics
Classical Mechanics
Lagrangian and Hamiltonian Mechanics
4 Sites
This is a reformulation of Newton's Laws of Motion, developed by W. R. Hamilton and J. L. Lagrange, using Hamilton's principle of least action and then further analysing the resultant formulae using methods in
calculus of variations
.
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The Principle of Least Action
- A brief review of the mathematics and physics involved in the principle of least action.
Lagrangians and Hamiltonians for High School Students
- A discussion of Lagrangian and Hamiltonian dynamics is presented at a level which should be suitable for advanced high school students.
History Topic: The Brachistichrone Problem
- This problem was posed by Johann Bernoulli in 1696 and several mathematicians rose to the challenge.
Lagrangian and Hamiltonian Mechanics
- A detailed introduction to the basic features and mathematical formalisms involved.
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See Also
Calculus of Variations
Science : Math : Calculus
3 Sites
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