Geodesics and Surface Area

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Analytical Mechanics: Equilibrium Positions and Least Action Principle

Explores equilibrium positions, lineic density, and the principle of least action in analytical mechanics.

Hamilton's Formalism: Equations and Transformations

Explores Hamilton's formalism, canonical equations, and Poisson brackets in classical and quantum mechanics.

Analytical Mechanics: Principle of Least Action

Covers the principle of least action and constraint handling in analytical mechanics.

Euler-Lagrange Equations

Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.

Lagrangian Mechanics: Symmetries and Conservation Laws

Explores Lagrangian mechanics, symmetries, conservation laws, and the Hamiltonian concept.

Conforming Configurations in Veneering: Pseudosphere Example

Covers conforming configurations in veneering, focusing on the pseudosphere example.

Canonical Transformations: Rules and Equations

Explores canonical transformations, rules, equations, gauge invariance, and the principle of least action.

Surface Integrals: Parameterized Surfaces

Explores surface integrals over parameterized orientable surfaces and their applications in flux and work evaluation.

Canonical Transformations in Hamiltonian Formalism

Explores canonical transformations in Hamiltonian formalism, emphasizing preservation of the action principle and structure necessary for transformations.

Dynamical Systems: Mathematical Modeling

Covers mathematical modeling of dynamical systems, focusing on electromechanical systems and DC servomotors.