An introduction to foundations of Classical Mechanics and Classical Field Theory
Lecture Notes
- Classical Mechanics
- Overview of foundations of classical mechanics
- Langrangian, Hamiltonian formulation, Noether’s theorem, Poisson brackets and more
- Classical Field Theory
- Relativity: invariance of the interval, Lorentz transformations etc.
- Classical field theory: scalar and vector fields, interactions
- Electrodynamics, covariant Maxwell’s equations, EM waves
Texts
- Goldstein, Poole, and Safko, Classical Mechanics
- One of the standards, for good reason; very solid and thorough coverage.
- Landau and Lifshitz, Mechanics (Vols. 1 and 2)
- An older and technical book. A very elegant coverage of classical mechanics. More appropriate at a slightly more advanced level.
- D. J. Griffiths, Intoduction to Electrodynamics