The spacetime of special relativity -- Manifolds and coordinates -- Vector calculus on manifolds -- Tensor calculus on manifolds -- Special relativity revisited -- Electromagnetism -- The equivalence principle and spacetime curvature -- The gravitational field equations -- The Schwarzschild geometry -- Experimental tests of general relativity -- Schwarzschild black holes -- Further spherically symmetric geometries -- The Kerr geometry -- The Friedmann-Robertson-Walker geometry -- Cosmological models -- Inflationary cosmology -- Linearised general relativity -- Gravitational waves -- A variational approach to general relativity.