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Brachistochrone problem
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Classroom Contents
Principle of Least Action and Lagrange's Equations of Mechanics - Basics of Calculus of Variations
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- 1 Canonical transformations come from generating functions via variational principles
- 2 Principal of least action
- 3 Initial approach to understanding how principle of least action leads to Newton's equations
- 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 Euler-Lagrange equations, example uses
- 6 Brachistochrone problem
- 7 Cubic spline curves (data fitting)
