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arXiv · 2503.16568

Analytical Mechanics and Field Theory

Tomas Brauner
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Abstract

Lecture notes for a one-semester master-level course on analytical mechanics and classical field theory, covering: 0 Mathematical Introduction, 1 Lagrangian Mechanics, 2 Application: Motion in Central Fields, 3 Hamiltonian Mechanics, 4 Application: Oscillations of Mechanical Systems, 5 Application: Relativistic Mechanics, 6 Geometry of Classical Mechanics, 7 Application: Dynamics of Rigid Bodies, 8 Lagrangian and Hamiltonian Mechanics of Continuous Systems, 9 Application: Elasticity of Solids, 10 Symmetries and Conservation Laws, 11 Application: Fluid Dynamics, 12 Application: Electrodynamics

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Tomas Brauner. 2025-03-20. Analytical Mechanics and Field Theory. https://arxiv.org/abs/2503.16568

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