| Preface |
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v | |
| Note to the Fifteenth Edition |
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vii | |
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PART I THE SPECIAL THEORY OF RELATIVITY |
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1 Physical Meaning of Geometrical Propositions |
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3 | (3) |
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2 The System of Co-ordinates |
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6 | (4) |
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3 Space and Time in Classical Mechanics |
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10 | (2) |
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4 The Galileian System of Co-ordinates |
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12 | (1) |
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5 The Principle of Relativity (in the Restricted Sense) |
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13 | (4) |
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6 The Theorem of the Addition of Velocities Employed in Classical Mechanics |
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17 | (2) |
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7 The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity |
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19 | (4) |
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8 On the Idea of Time in Physics |
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23 | (4) |
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9 The Relativity of Simultaneity |
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27 | (3) |
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10 On the Relativity of the Conception of Distance |
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30 | (2) |
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11 The Lorentz Transformation |
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32 | (6) |
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12 The Behaviour of Measuring-Rods and Clocks in Motion |
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38 | (4) |
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13 Theorem of the Addition of the Velocities. The Experiment of Fizeau |
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42 | (4) |
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14 The Heuristic Value of the Theory of Relativity |
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46 | (2) |
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15 General Results of the Theory |
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48 | (6) |
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16 Experience and the Special Theory of Relativity |
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54 | (6) |
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17 Minkowski's Four-Dimensional Space |
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60 | (4) |
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PART II THE GENERAL THEORY OF RELATIVITY |
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18 Special and General Principle of Relativity |
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64 | (4) |
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19 The Gravitational Field |
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68 | (3) |
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20 The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity |
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71 | (5) |
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21 In What Respects Are the Foundations of Classical Mechanics and of the Special Theory of Relativity Unsatisfactory? |
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76 | (3) |
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22 A Few Inferences from the General Principle of Relativity |
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79 | (5) |
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23 Behaviour of Clocks and Measuring-Rods on a Rotating Body of Reference |
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84 | (4) |
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24 Euclidean and Non-Euclidean Continuum |
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88 | (4) |
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92 | (4) |
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26 The Space-Time Continuum of the Special Theory of Relativity Considered as a Euclidean Continuum |
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96 | (3) |
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27 The Space-Time Continuum of the General Theory of Relativity is Not a Euclidean Continuum |
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99 | (4) |
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28 Exact Formulation of the General Principle of Relativity |
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103 | (3) |
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29 The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity |
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106 | (8) |
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PART III CONSIDERATIONS ON THE UNIVERSE AS A WHOLE |
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30 Cosmological Difficulties of Newton's Theory |
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114 | (3) |
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31 The Possibility of a "Finite" and Yet "Unbounded" Universe |
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117 | (2) |
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32 The Structure of Space According to the General Theory of Relativity |
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119 | (2) |
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1 Simple Derivation of the Lorentz Transformation |
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121 | (8) |
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2 Minkowski's Four-Dimensional Space ("World") |
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129 | (2) |
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3 The Experimental Confirmation of the General Theory of Relativity |
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131 | (10) |
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A Motion of the Perihelion of Mercury |
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132 | (2) |
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B Deflection of Light by a Gravitational Field |
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134 | (3) |
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C Displacement of Spectral Lines towards the Red |
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137 | (4) |
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4 The Structure of Space According to the General Theory of Relativity (Supplementry to Section 22) |
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141 | (2) |
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5 Relativity and the Problem of Space |
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143 | |
