Unified Theories

Lagrangian and Hamiltonian Mechanics Lagrangian and Hamiltonian Mechanics- A detailed introduction to the basic features and mathematical formalisms involved. History Topic: The Brachistichrone Problem History Topic: The Brachistichrone Problem- This problem was posed by Johann Bernoulli in 1696 and several mathematicians rose to the challenge. 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 schoo… 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.