Relativity The Special And The General Theory
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內容簡介
The Contents of the book are as follows
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
I. Simple Derivation of the Lorentz Transformation
[Supplementary to Section XI]
II. Minkowski's Four-dimensional Space ("World")
[Supplementary to Section XVII]
III. The Experimental Confirmation of the General Theory of
Relativity
(a) Motion of the Perihelion of Mercury
(b) Deflection of Light by a Gravitational Field
(c) Displacement of Spectral Lines towards the Red
Bibliography
Index
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