Scheck F. Classical Field Theory: On Electrodynamics, Non-Abelian Gauge Theories and Gravitation

2nd Edition. — Springer-Verlag GmbH, Germany, 2018. — 474 p. — (Graduate Texts in Physics). — ISBN: 978-3-662-55577-4.Traditionally one begins a course or a textbook on electrodynamics with an extensive discussion of electrostatics, of magnetostatics, and of stationary currents, before turning to the full time-dependent Maxwell theory in local form. In this book, I choose a somewhat different approach: Starting from Maxwell’s equations in integral form, that is to say, from the phenomenological and experimentally verified basis of electrodynamics, the local equations are formulated and discussed with their general time and space dependence right from the start. Static or stationary situations appear as special cases for which Maxwell’s equations split into two more or less independent groups and thus are decoupled to a certain extent.Maxwell’s Equations
Symmetries and Covariance of the Maxwell Equations
Maxwell Theory as a Classical Field Theory
Simple Applications of Maxwell Theory
Local Gauge Theories
Classical Field Theory of Gravitation