Electrodynamics is a cornerstone of every modern education in theoretical physics, as it introduces a geometric picture of the laws of Nature, and is permeated by relativity. Starting from the fundamental phenomenology of Maxwell's equations, the script treats the construction of Green-functions for solving potential problems, before moving to the dynamics of the electromagnetic field and the Poynting-theorems. Retardation bridges to the notion of light cones and the emergence of relativity, leading to a covariant formulation of Maxwell's equations. Gauge transformations are treated in...

Statistical physics provides the microscopic theory for thermodynamic macroscopic properties of a physical system. These lecture notes introduce the necessary concepts of statistics and analytical mechanics for equilibrium thermodynamics with partition functions. They cover classical and quantum statistics, and treat advanced topics such as Langevin dynamics, the Fokker-Planck equation and phase transitions. Many systems like ideal classical and relativistic gases are worked out in detail.