Relativity The Special And The General Theory

<p>The Contents of the book are as follows</p><p>PART I</p><p>The Special Theory of Relativity</p><p>I. Physical Meaning of Geometrical Propositions</p><p>II. The System of Co-ordinates </p><p>III. Space and Time in Classical Mechanics </p><p>IV. The Galileian System of Co-ordinates </p><p>V. The Principle of Relativity (In the Restricted Sense) </p><p>VI. The Theorem of the Addition of Velocities employed in Classical Mechanics</p><p>VII. The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity </p><p>VIII. On the Idea of Time in Physics </p><p>IX. The Relativity of Simultaneity </p><p>X. On the Relativity of the Conception of Distance </p><p>XI. The Lorentz Transformation </p><p>XII. The Behaviour of Measuring-Rods and Clocks in Motion </p><p>XIII. Theorem of the Addition of Velocities. The Experiment of Fizeau</p><p>XIV. The Heuristic Value of the Theory of Relativity </p><p>XV. General Results of the Theory </p><p>XVI. Experience and the Special Theory of Relativity </p><p>XVII. Minkowski's Four-dimensional Space </p><p><br></p><p>PART II</p><p>The General Theory of Relativity</p><p>XVIII. Special and General Principle of Relativity</p><p>XIX. The Gravitational Field </p><p>XX. The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity XXI. In what Respects are the Foundations of Classical Mechanics and of the Special Theory of Relativity unsatisfactory? </p><p>XXII. A Few Inferences from the General Principle of Relativity </p><p>XXIII. Behaviour of Clocks and Measuring-Rods on a Rotating Body of Reference</p><p>XXIV. Euclidean and Non-Euclidean Continuum</p><p>XXV. Gaussian Co-ordinates</p><p>XXVI. The Space-Time Continuum of the Special Theory of Relativity considered as a Euclidean Continuum</p><p>XXVII. The Space-Time Continuum of the General Theory of Relativity is not a Euclidean Continuum</p><p>XXVIII. Exact Formulation of the General Principle of Relativity </p><p>XXIX. The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity </p><p><br></p><p>PART III</p><p>Considerations on the Universe as a Whole</p><p><br></p><p>XXX. Cosmological Difficulties of Newton's Theory </p><p>XXXI. The Possibility of a Finite and yet Unbounded Universe</p><p>XXXII. The Structure of Space according to the General Theory of Relativity</p><p><br></p><p>APPENDICES</p><p>I. Simple Derivation of the Lorentz Transformation</p><p>[Supplementary to Section XI] </p><p>II. Minkowski's Four-dimensional Space (World)</p><p>[Supplementary to Section XVII]</p><p>III. The Experimental Confirmation of the General Theory of</p><p>Relativity </p><p>(a) Motion of the Perihelion of Mercury </p><p>(b) Deflection of Light by a Gravitational Field</p><p>(c) Displacement of Spectral Lines towards the Red </p><p>Bibliography </p><p>Index </p><p><br></p>