Directory of Lagrangian and Hamiltonian Mechanics Resources

Home > Science > Physics > Classical Mechanics > Lagrangian and Hamiltonian Mechanics

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.

Resources in This Category

• History Topic: The Brachistichrone Problem

  http://www-history.mcs.st-andrews.ac.uk/history/PrintHT/Brachistochrone.html
  This problem was posed by Johann Bernoulli in 1696 and several mathematicians rose to the challenge.

• Lagrangian and Hamiltonian Mechanics

  http://www.mathpages.com/home/kmath523/kmath523.htm
  A detailed introduction to the basic features and mathematical formalisms involved.

• Lagrangians and Hamiltonians for High School Students

  http://arxiv.org/abs/physics/0004029
  A discussion of Lagrangian and Hamiltonian dynamics is presented at a level which should be suitable for advanced high school students.

• The Principle of Least Action

  http://www.ph.utexas.edu/~gleeson/httb/chapter1_3_6.html
  A brief review of the mathematics and physics involved in the principle of least action.

Related Categories

• Home > Science > Math > Calculus > Calculus of Variations

 

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