Preface -- Acknowledgements -- Author biography -- 1. Basic field theory -- Newtonian mechanics and Galilean relativity -- The action principle -- The stretched string as a field theory -- The wave equation -- Energy and momentum in field theories -- Point sources and Green's functions in field theory -- Further reading2. Newtonian fluid dynamics -- Fluid flow from Newtonian physics -- Basic applications of the Navier-Stokes equation -- Viscosity -- The action formulation of perfect fluids -- Fluctuations around solutions and stability -- Further reading3. Special relativity, field theory and symmetry -- Special relativity -- Basic effects of special relativity -- Relativistic mechanics -- Relativistic tensor fields and quadratic actions -- Relativistic spinor fields and quadratic actions -- Symmetry in relativistic field theory -- Further reading4. Classical electrodynamics -- Maxwell's equations -- The gauge field and gauge conditions -- The gauge field action and minimal coupling -- vii -- The stress-energy tensor and electrodynamic force and energy -- Electromagnetic waves and spin -- Green's functions and electromagnetic radiation -- The gauge field as a differential form -- Further reading5. General relativity and gravitation -- The metric tensor and the principle of equivalence -- The affine connection and the covariant derivative -- The curvature tensor -- Variational techniques in general relativity -- Einstein's equation -- Vacuum solutions to Einstein's equation -- Basic cosmology -- Further reading6. Yang-Mills fields and connections -- Unitary symmetry and Yang-Mills fields -- The Yang-Mills stress-energy tensor and force equation -- Spontaneous breakdown of symmetry -- Aspects of classical solutions for Yang-Mills fields -- Yang-Mills fields, gravitation, forms and connections -- Yang-Mills fields and confinement -- Further reading -- Appendix. Mathematics for field theory.