Additional
Information: 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
Lagrangian and Hamiltonian Mechanics Sites:
Lagrangian and Hamiltonian Mechanics Lagrangian and Hamiltonian Mechanics: A detailed introduction to the basic features and mathematical formalisms involved. (Lagrangian and Hamiltonian Mechanics) http://alamos.math.arizona.edu/~rychlik/557-dir/mechanics/
Lagrangians and Hamiltonians for High School Students 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. (Lagrangian and Hamiltonian Mechanics) http://arxiv.org/abs/physics/0004029
The Principle of Least Action The Principle of Least Action: A brief review of the mathematics and physics involved in the principle of least action. (Lagrangian and Hamiltonian Mechanics) http://www.ph.utexas.edu/~gleeson/httb/chapter1_3_6.html
The Brachistichrone Problem The Brachistichrone Problem: A Java applet which illustrates the solution to the Brachistichrone problem. (Lagrangian and Hamiltonian Mechanics) http://home.ural.ru/~iagsoft/BrachJ2.html
Additional
Information: 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 
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