Classical electrodynamics and classical field theory
Classical electrodynamics
Introductory
Purcell and Morrin, Electricity and magnetism
Zangwill, Modern Electrodynamics
Brau, Modern problems in classical electrodynamics
Greiner, Classical electrodynamics
Schwartz, Principles of electrodynamics
Landau & Lifschitz, The classical theory of fields
Intermediate
Jackson, Classical electrodynamics
Franklin, Classical electromagnetism
Advanced
Jentschura, Advanced classical electrodynamics
Hehl and Obukhov, Foundations of classical electrodynamics
Garrity, Electricity and magnetism for mathematicians
Scheck: Classical field theory: On Electrodynamics, Non-Abelian Gauge Theories and Gravitation
Relevant mathematics:
- ODEs and some PDEs
- some theory of distributions
- some basic differential geometry, including the geometry of Abelian principal bundles
Classical field theory
Soper, Classical field theory
Rubakov, Classical theory of gauge fields
Bleecker, Gauge theory and variational principles
Gockeler & Schucker, Differential geometry, gauge theory and gravity
Choquet-Bruhat and DeWitt-Morette, Analysis, manifolds and physics
Atiyah, Geometry of Yang-Mills fields
Atiyah, Gauge theories
Relevant mathematics: