University of Virginia Library

contents. 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 Incompatability 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

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xii



• XIII. Theorem of the Addition of Velocities. The Experiment of Fizeau
• XIV. The Hueristic Value of the Theory of Relativity
• XV. General Results of the Theory
• XVI. Expereince and the Special Theory of Relativity
• XVII. Minkowski's Four-dimensial 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
• XV. Gaussian Co-ordinates
• XVI. The Space-Time Continuum of the Speical Theory of Relativity Considered as a Euclidean Continuum

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• XVII. The Space-Time Continuum of the General Theory of Relativity is Not a Eculidean Continuum
• XVIII. 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 Netwon'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:

• I. Simple Derivation of the Lorentz Transformation (sup. ch. XI)
• II. Minkowski's Four-Dimensional Space ("World") (sup. ch XVII)
• III. The Experimental Confirmation of the General Theory of Relativity
• BIBLIOGRAPHY