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While it is fair to say that the last century of physics has been dominated both experimentally and theoretically by the study of quantum processes, the framework for the understanding of these phenomena consists of concepts developed in classical physics and extended to quantum mechanical systems. In that regard, the necessity of generalizing the concepts of energy, momentum, and angular momentum to the case of classical fields provided many of the tools used in the wave-particle duality of quantum mechanics. Classical electrodynamics and nonabelian gauge theories have become successful quantum field theories, yielding deep insights into quantum processes. At the time of this writing, developing a quantum mechanically consistent version of gravitation is a vigorous and unsettled area of research, yet the insights provided by Einsteinʼs classical theory of general relativity remain the basis for much of the effort to create such a theory.
Geometry and physics
Newtonian mechanics and functional methods
Basic field theory
Newtonian fluid dynamics
Galilean covariant complex fields
Basic special relativity
Linear algebra and group theory
Scalar and spinor field theories
Classical relativistic electrodynamics
General relativity and gravitation
Yang–Mills fields and connections