1. The Observable Universe -- 1.1 Introduction -- 1.2 The Origins of Modern Cosmology -- 1.3 The Scale of the Universe -- 1.4 The Large-scale Features of the Universe -- 1.5 Recent Observational Developments -- 1.6 Strange and Wonderful Objects -- Exercises and Problems -- 2. The Bases of Modern Cosmology -- 2.1 The Significance of the Hubble Law -- 2.2 The Interpretation of Cosmological Red-Shifts -- 2.3 The Nature of a Mathematical Model -- 2.4 Basic Assumptions and Definitions -- 2.5 The Case for a Uniform Rate of Expansion -- 2.6 The Puzzle of Light Propagation -- Exercises and Problems -- 3. The Principle of Relativity -- 3.1 Motion According to Galileo -- 3.2 Newton's System of the World -- 3.3 The Basis of Special Relativity -- 3.4 The Lorentz Transformation and its Implications -- 3.5 The Relativity of Time and Length Observations -- 3.6 The Relativistic Metric -- Exercises and Problems -- 4. Light Propagation in an Expanding Universe -- 4.1 The Cosmological Metric -- 4.2 The Geometry of Light Paths -- 4.3 Astronomical Implications -- 4.4 The Equivalence of Fundamental Observers -- Exercises and Problems -- 5. The Effects of Movement Relative to the Fundamental Frame -- 5.1 The Cosmological Acceleration Field -- 5.2 The Primary Anisotropy Effect -- 5.3 The Retarded Potential Law for 'Moving' Bodies -- 5.4 The Effect of Motion on Length and Mass -- Exercises and Problems -- 6. Special Relativity as a Cosmological Theory -- 6.1 The Basic Effects of Anisotropy -- 6.2 Observational Consequences -- 6.3 The Balance of Anisotropy Effects -- 6.4 Some Further Consequences -- Exercises and Problems -- 7. Gravitation in a Unique Universe -- 7.1 A Cosmological Basis for Gravitation -- 7.2 Einstein's Very General Theory -- 7.3 Fock's Particular Formulation of General Relativity -- 7.4 The Universe as a Mass-Energy System -- Exercises and Problems -- 8. The Space, time and Matter of our Universe -- 8.1 Relative or Absolute? -- 8.2 The Status of the Cosmological Substratum -- 8.3 The Nature of Time -- 8.4 The Matter of our Universe -- 8.5 The Essence and Basis of the Argument -- Exercise and Problems -- Appendices -- Appendix 1: The Steady State Syndrome -- Appendix 2: The Status of Einstein's Stationary System -- Appendix 3: The Black Hole Deduction -- Appendix 4: The Lorentz-Equivalence of Fundamental Observers - General Proof -- Appendix 5: Derivation of the Retarded Potential Field Law - General Case -- Appendix 6: Synchronisation of Clocks By Slow Transport -- Appendix 7: The Relativistic Doppler and Aberration Furmulae -- Comments on the Exercises and Problems -- 1-1 Movement relative to the cosmic background radiation? -- 1-2 Newtonian black holes? -- 2-1 Why do some galaxies exhibit blue-shifts? -- 2-2(a) The velocity space of a steady-state universe -- 2-2(b) The velocity space of a uniformly-expanding universe -- 2-3 Observational indicators of cosmic time -- 3-1 The practical significance of Einstein's measurement conventions -- 3-2 Derivation of a transformation involving Einstein co-ordinate measures -- 3-3 The influence of Einstein's new approach -- 3-4 The velocities transformation and the conditions for its employment -- 3-5 The invariance of the out-and-return journey result -- 3-6 The invariance of the order of events within a time-like interval -- 4-1 Two-dimensional representations of an expanding reference frame -- 4-2 The composition of recession velocities -- 4-3 The extent of the universe? -- 4-4 The limits of observation? -- 4-5 Are there any fundamental observers in the universe? -- 5-1 The speed of light relative to a moving system -- 5-2 Derivation of the retarded potential result for a point directly behind the moving source-body -- 5-3 Derivation of the general length-contraction formula -- 6-1 The observation of length contraction -- 6-2 The time-dilation result for arbitrarily-oriented light-clocks -- 6-3 The puzzle of the balanced lever -- 6-4 The group properties of the Lorentz transformation -- 7-1 The universe as a mass-energy system -- 7-2 A changing universe as the source of gravity? -- 8-1 Eddington's table -- 8-2 The faces of the Moon -- 8-3 The twin tendencies of evolution and dissolution in our universe -- List of References.