Principle of Least Action and Lagrange's Equations of Mechanics - Basics of Calculus of Variations

Principle of Least Action and Lagrange's Equations of Mechanics - Basics of Calculus of Variations

Ross Dynamics Lab via YouTube Direct link

Initial approach to understanding how principle of least action leads to Newton's equations

3 of 7

3 of 7

Initial approach to understanding how principle of least action leads to Newton's equations

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Principle of Least Action and Lagrange's Equations of Mechanics - Basics of Calculus of Variations

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  1. 1 Canonical transformations come from generating functions via variational principles
  2. 2 Principal of least action
  3. 3 Initial approach to understanding how principle of least action leads to Newton's equations
  4. 4 Euler-Lagrange equations: More general, calculus of variations approach to principle of critical action, leading to Euler-Lagrange equations (Lagrange's equations in mechanics context)
  5. 5 Euler-Lagrange equations, example uses
  6. 6 Brachistochrone problem
  7. 7 Cubic spline curves (data fitting)

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