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Theoretical Physics
Classical Physics
Lecture 1 — Orders of Magnitude and the Regimes of Physics
Lecture 2 — Degrees of Freedom, Newton’s Equations, and Phase Space
Lecture 3–4 — Multiple Critical Points, Scaling Arguments, and the Road to Linear Systems
Lecture 5–6 — Autonomous Dynamical Systems: Linearization, Classification, and Conservative Flows
Lecture 7 — The Lagrangian Formalism: Action, Euler–Lagrange Equations, and the Pendulum
Lecture 8–9 — Classical Electromagnetism: Potentials, Gauge Invariance, and the Charged-Particle Lagrangian
Lecture 10–12 — Hamiltonian Dynamics: Legendre Transforms, Poisson Brackets, and Integrability
Lecture 13–14 — Dynamical Symmetry: Noether’s Theorem, the Symplectic Group, and the Kepler Problem
Lecture 20–21 — Foundations of Statistical Mechanics: Equal A Priori Probabilities and the Law of Large Numbers
Lecture 22–23 — The Microcanonical Ensemble and the Structure of Thermodynamics
Lecture 24–25 — The Canonical Ensemble and the Classical Ideal Gas
Lecture 28–30 — Phase Transitions, Critical Phenomena, and Landau Theory
Lecture 35–38 — Special Relativity: Noether’s Theorem, Four-Vectors, and the Lorentz Group
Quantum Physics
Mathematical Physics
Stochastic Processes
Nonlinear Dynamics
Nonequilibrium Statistical Mechanics
Repository
Open issue
Index
