1. Scalar-Tensor Gravity -- 1 Introduction -- 2 Brans-Dicke theory -- 3 Brans-Dicke cosmology in the Jordan frame -- 4 The limit to general relativity -- 5 Relation to Kaluza-Klein theory -- 6 Brans-Dicke theory from Lyra's geometry -- 7 Scalar-tensor theories -- 8 Motivations for scalar-tensor theories -- 9 Induced gravity -- 10 Generalized scalar-tensor theories -- 11 Conformal transformation techniques -- 12 Singularities of the gravitational coupling -- 2. Effective Energy-Momentum Tensors and Conformal Frames -- 1 The issue of the conformal frame -- 2 Effective energy-momentum tensors -- 3. Gravitational Waves -- 1 Introduction -- 2 Einstein frame scalar-tensor waves -- 3 Gravitational lensing by scalar-tensor gravitational waves -- 4. Exact Solutions of Scalar-Tensor Cosmology -- 1 Introduction -- 2 Exact solutions of Brans-Dicke cosmology -- 2.2 K = ±1 solutions and phase space for V = 0 -- 2.3 Phase space for any K and V = m2ø2/2 -- 2.4 Bianchi models -- 3 Exact solutions of scalar-tensor theories -- 5. The Early Universe -- 1 Introduction -- 2 Extended inflation -- 3 Hyperextended inflation -- 4 Real inflation? -- 5 Constraints from primordial nucleosynthesis -- 6. Perturbations -- 1 Introduction -- 2 Scalar perturbations -- 3 Tensor perturbations -- 7. Nonminimal Coupling -- 1 Introduction -- 2 Effective energy-momentum tensors -- 3 Conformal transformations -- 4 Inflation and ? 0: the unperturbed universe -- 5 The slow-roll regime of generalized inflation -- 6 Inflation and ? 0: perturbations -- 7 Conclusion -- 8. The Present Universe -- 1 Present acceleration of the universe and quintessence -- 2 Quintessence with nonminimal coupling -- 3 Superquintessence -- 4 Quintessence in scalar-tensor gravity -- 5 Conclusion -- References.