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Preface | p. ix |
The Special Theory of Relativity | |
Physical Meaning of Geometrical Propositions | p. 3 |
The System of Co-ordinates | p. 6 |
Space and Time in Classical Mechanics | p. 10 |
The Galileian System of Co-ordinates | p. 12 |
The Principle of Relativity (in the Restricted Sense) | p. 14 |
The Theorem of the Addition of Velocities Employed in Classical Mechanics | p. 18 |
The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity | p. 20 |
On the Idea of Time in Physics | p. 23 |
The Relativity of Simultaneity | p. 27 |
On the Relativity of the Conception of Distance | p. 30 |
The Lorentz Transformation | p. 32 |
The Behaviour of Measuring-Rods and Clocks in Motion | p. 37 |
Theorem of the Addition of Velocities. The Experiment of Fizeau | p. 40 |
The Heuristic Value of the Theory of Relativity | p. 44 |
General Results of the Theory | p. 46 |
Experience and the Special Theory of Relativity | p. 51 |
Minkowski's Four-dimensional Space | p. 56 |
The General Theory of Relativity | |
Special and General Principle of Relativity | p. 61 |
The Gravitational Field | p. 65 |
The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity | p. 68 |
In what Respects are the Foundations of Classical Mechanics and of the Special Theory of Relativity Unsatisfactory? | p. 72 |
A Few Inferences from the General Principle of Relativity | p. 75 |
Behaviour of Clocks and Measuring-Rods on a Rotating Body of Reference | p. 79 |
Euclidean and non-Euclidean Continuum | p. 83 |
Gaussian Co-ordinates | p. 87 |
The Space-Time Continuum of the Special Theory of Relativity Considered as a Euclidean Continuum | p. 91 |
The Space-Time Continuum of the General Theory of Relativity is not a Euclidean Continuum | p. 94 |
Exact Formulation of the General Principle of Relativity | p. 97 |
The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity | p. 100 |
Considerations on the Universe as a Whole | |
Cosmological Difficulties of Newton's Theory | p. 107 |
The Possibility of a "Finite" and yet "Unbounded" Universe | p. 110 |
The Structure of Space according to the General Theory of Relativity | p. 115 |
Appendices | |
Simple Derivation of the Lorentz Transformation [Supplementary to Section 11] | p. 117 |
Minkowski's Four-dimensional Space ("World") [Supplementary to Section 17] | p. 124 |
The Experimental Confirmation of the General Theory of Relativity | p. 126 |
Motion of the Perihelion of Mercury | p. 127 |
Deflection of Light by a Gravitational Field | p. 129 |
Displacement of Spectral Lines towards the Red | p. 132 |
The Structure of Space according to the General Theory of Relativity [Supplementary to Section 32] | p. 136 |
Relativity and the Problem of Space | p. 139 |
Bibliography | p. 159 |
Index | p. 161 |
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