Principle of Least Action

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Explores algebraic topology and differential geometry in understanding robot dynamics and global behavior.

Introduces field theory, focusing on density, springs, canonical transformations, and the principle of least action.

Explores quantum instanton theory, path integrals, reaction rates, and tunnelling phenomena.

Covers the principle of least action in mechanics and stress forces application.

Covers variational methods to find the shortest time path for a particle under gravity.

Explores geodesics as locally shortest paths and defines surface area using parametric squares.

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

Covers the path integral representation in quantum mechanics and the dynamics of systems described by Lagrangian.

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

Explores the application of randomness in physical models, focusing on Brownian motion and diffusion.