LITMIR.BIZ

      Published by Good Press, 2019

       [email protected]

      EAN 4057664129147

Table of Contents

       PREFACE

       PART I: THE SPECIAL THEORY OF RELATIVITY

       I. PHYSICAL MEANING OF GEOMETRICAL PROPOSITIONS

       II. THE SYSTEM OF CO-ORDINATES

       III. SPACE AND TIME IN CLASSICAL MECHANICS

       IV. THE GALILEIAN SYSTEM OF CO-ORDINATES

       V. THE PRINCIPLE OF RELATIVITY (IN THE RESTRICTED SENSE)

       VI. THE THEOREM OF THE ADDITION OF VELOCITIES EMPLOYED IN CLASSICAL MECHANICS

       VII. THE APPARENT INCOMPATIBILITY OF THE LAW OF PROPAGATION OF LIGHT WITH THE PRINCIPLE OF RELATIVITY

       VIII. ON THE IDEA OF TIME IN PHYSICS

       IX. THE RELATIVITY OF SIMULTANEITY

       X. ON THE RELATIVITY OF THE CONCEPTION OF DISTANCE

       XI. THE LORENTZ TRANSFORMATION

       XII. THE BEHAVIOUR OF MEASURING-RODS AND CLOCKS IN MOTION

       XIII. THEOREM OF THE ADDITION OF VELOCITIES. THE EXPERIMENT OF FIZEAU

       XIV. THE HEURISTIC VALUE OF THE THEORY OF RELATIVITY

       XV. GENERAL RESULTS OF THE THEORY

       XVI. EXPERIENCE AND THE SPECIAL THEORY OF RELATIVITY

       XVII. MINKOWSKI’S FOUR-DIMENSIONAL SPACE

       PART II: THE GENERAL THEORY OF RELATIVITY

       XVIII. SPECIAL AND GENERAL PRINCIPLE OF RELATIVITY

       XIX. THE GRAVITATIONAL FIELD

       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?

       XXII. A FEW INFERENCES FROM THE GENERAL PRINCIPLE OF RELATIVITY

       XXIII. BEHAVIOUR OF CLOCKS AND MEASURING-RODS ON A ROTATING BODY OF REFERENCE

       XXIV. EUCLIDEAN AND NON-EUCLIDEAN CONTINUUM

       XXV. GAUSSIAN CO-ORDINATES

       XXVI. THE SPACE-TIME CONTINUUM OF THE SPECIAL THEORY OF RELATIVITY CONSIDERED AS A EUCLIDEAN CONTINUUM

       XXVII. THE SPACE-TIME CONTINUUM OF THE GENERAL THEORY OF RELATIVITY IS NOT A EUCLIDEAN CONTINUUM

       XXVIII. EXACT FORMULATION OF THE GENERAL PRINCIPLE OF RELATIVITY

       XXIX. THE SOLUTION OF THE PROBLEM OF GRAVITATION ON THE BASIS OF THE GENERAL PRINCIPLE OF RELATIVITY

       PART III: CONSIDERATIONS ON THE UNIVERSE AS A WHOLE

       XXX. COSMOLOGICAL DIFFICULTIES OF NEWTON’S THEORY

       XXXI. THE POSSIBILITY OF A “FINITE” AND YET “UNBOUNDED” UNIVERSE

       XXXII. THE STRUCTURE OF SPACE ACCORDING TO THE GENERAL THEORY OF RELATIVITY

       APPENDICES

       APPENDIX I SIMPLE DERIVATION OF THE LORENTZ TRANSFORMATION (SUPPLEMENTARY TO SECTION XI)

       APPENDIX II MINKOWSKI’S FOUR-DIMENSIONAL SPACE (“WORLD”) (SUPPLEMENTARY TO SECTION XVII)

       APPENDIX III THE EXPERIMENTAL CONFIRMATION OF THE GENERAL THEORY OF RELATIVITY

       APPENDIX IV THE STRUCTURE OF SPACE ACCORDING TO THE GENERAL THEORY OF RELATIVITY (SUPPLEMENTARY TO SECTION XXXII)