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.
This problem was posed by Johann Bernoulli in 1696 and several mathematicians rose to the challenge.
A detailed introduction to the basic features and mathematical formalisms involved.
A discussion of Lagrangian and Hamiltonian dynamics is presented at a level which should be suitable for advanced high school students.
A brief review of the mathematics and physics involved in the principle of least action.
Thanks to DMOZ, which built a great web directory for nearly two decades and freely shared it with the web. About us