CONTENTS
| PAGE | ||
| FOREWORD | [ix] | |
| PART I | ||
| PRE-RELATIVITY PHYSICS | ||
| CHAPTER | ||
| I. MANIFOLDS | [23] | |
| II. THE BIRTH OF METRICAL GEOMETRY | [32] | |
| III. RIEMANN’S DISCOVERIES AND CONGRUENCE | [39] | |
| IV. THE PROBLEM OF PHYSICAL SPACE | [47] | |
| V. AN ALTERNATIVE VIEW OF NON-EUCLIDEAN GEOMETRIES | [60] | |
| VI. TIME | [71] | |
| VII. SYSTEMS OF CO-ORDINATES AND DISTANCE | [83] | |
| VIII. THE MEANING OF THE WORD RELATIVITY | [99] | |
| IX. THE PRINCIPLES OF RELATIVITY | [103] | |
| X. CLASSICAL MECHANICS AND THE NEWTONIAN PRINCIPLE OF RELATIVITY | [106] | |
| XI. THE ETHER | [116] | |
| XII. THE EQUATIONS OF ELECTROMAGNETICS AND LORENTZ’S THEORY | [125] | |
| PART II | ||
| THE SPECIAL THEORY OF RELATIVITY | ||
| XIII. EINSTEIN’S SPECIAL THEORY OF RELATIVITY | [143] | |
| XIV. RELATIVISTIC MECHANICS | [156] | |
| XV. CONSEQUENCES OF THE NEW SPACE AND TIME MEASUREMENTS—SIMULTANEITY | [161] | |
| XVI. PRACTICAL CONGRUENCE IN RELATIVITY | [187] | |
| XVII. THE MATHEMATICAL EXPRESSION OF EINSTEIN’S FUNDAMENTAL PREMISES | [193] | |
| XVIII. THE DISCOVERY OF SPACE-TIME | [195] | |
| XIX. VARIOUS POSSIBLE WORLDS | [201] | |
| XX. THE IRREVERSIBILITY OF TIME | [212] | |
| XXI. THE REALITY OF THE CONTRACTION OF LENGTHS AND OF THE LENGTHENING OF DURATIONS | [219] | |
| XXII. THE PARADOXES ASSOCIATED WITH SPACE-TIME AND THE TRIP TO THE STAR | [225] | |
| PART III | ||
| THE GENERAL THEORY OF RELATIVITY | ||
| XXIII. POTENTIALS AND FORCES | [245] | |
| XXIV. THE POSTULATE OF EQUIVALENCE | [250] | |
| XXV. THE INCLUSION OF GRAVITATION IN THE MODEL OF SPACE-TIME | [261] | |
| XXVI. TENSORS AND THE LAWS OF NATURE | [266] | |
| XXVII. THE PRINCIPLE OF GENERAL COVARIANCE, OR THE GENERAL PRINCIPLE OF RELATIVITY | [276] | |
| XXVIII. THE DISCOVERY OF THE EINSTEINIAN LAW OF GRAVITATION | [281] | |
| XXIX. THE GENERAL LAWS OF MOTION | [286] | |
| XXX. THE VERIFICATION OF EINSTEIN’S LAW | [290] | |
| XXXI. THE SEPARATION OF SPACE-TIME INTO SPACE AND TIME IN A GRAVITATIONAL FIELD | [293] | |
| XXXII. THE PRINCIPLES OF CONSERVATION | [305] | |
| XXXIII. OTHER ASPECTS OF THE GRAVITATIONAL EQUATIONS | [310] | |
| XXXIV. THE FINITENESS OF THE UNIVERSE | [313] | |
| XXXV. THE IMPORTANCE OF SPACE-TIME, AND THE PRINCIPLE OF ACTION | [347] | |
| XXXVI. THE MYSTERY OF MATTER | [356] | |
| XXXVII. THE THEORIES OF WEYL AND EDDINGTON | [360] | |
| PART IV | ||
| THE METHODOLOGY OF SCIENCE | ||
| XXXVIII. THE METHODOLOGY OF SCIENCE | [373] | |
| XXXIX. THE CO-ORDINATION OF PHYSICAL FACTS ACCOMPLISHED BY RELATIVITY | [474] | |
| XL. THE GENERAL SIGNIFICANCE OF THE THEORY OF RELATIVITY | [481] | |
| APPENDICES | ||
| I. THE SPACE AND TIME GRAPHS | [509] | |
| II. THE CURVATURES OF SPACE-TIME | [524] | |
| III. THE GRAVITATIONAL EQUATIONS | [527] | |
| IV. SPACE, GRAVITATION AND SPACE-TIME | [531] |