In this famous short book Einstein explains clearly, using the minimum amount of mathematical terms, the basic ideas and principles of the theory which has shaped the world we live in today. Preface
ix
PART I The Special Theory of Relativity
Physical Meaning of Geometrical Propositions
3(3)
The System of Co-ordinates
6(4)
Space and Time in Classical Mechanics
10(2)
The Galileian System of Co-ordinates
12(2)
The Principle of Relativity (in the Restricted Sense)
14(4)
The Theorem of the Addition of Velocities Employed in Classical Mechanics
18(2)
The Apparent Incompatibility of the Law of Propagation of Light with the Principle of Relativity
20(3)
On the Idea of Time in Physics
23(4)
The Relativity of Simultaneity
27(3)
On the Relativity of the Conception of Distance
30(2)
The Lorentz Transformation
32(5)
The Behaviour of Measuring-Rods and Clocks in Motion
37(3)
Theorem of the Addition of Velocities. The Experiment of Fizeau
40(4)
The Heuristic Value of the Theory of Relativity
44(2)
General Results of the Theory
46(5)
Experience and the Special Theory of Relativity
51(5)
Minkowski's Four-dimensional Space
56(5)
PART II The General Theory of Relativity
Special and General Principle of Relativity
61(4)
The Gravitational Field
65(3)
The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity
68(4)
In what Respects are the Foundations of Classical Mechanics and of the Special Theory of Relativity Unsatisfactory?
72(3)
A Few Inferences from the General Principle of Relativity
75(4)
Behaviour of Clocks and Measuring-Rods on a Rotating Body of Reference
79(4)
Euclidean and non-Euclidean Continuum
83(4)
Gaussian Co-ordinates
87(4)
The Space-Time Continuum of the Special Theory of Relativity Considered as a Euclidean Continuum
91(3)
The Space-Time Continuum of the General Theory of Relativity is not a Euclidean Continuum
94(3)
Exact Formulation of the General Principle of Relativity
97(3)
The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity
100(7)
PART III Considerations on the Universe as a Whole
Cosmological Difficulties of Newton's Theory
107(3)
The Possibility of a ``Finite'' and yet ``Unbounded'' Universe
110(5)
The Structure of Space according to the General Theory of Relativity
115(44)
APPENDICES
1 Simple Derivation of the Lorentz Transformation [Supplementary to Section 11]
117(7)
2 Minkowski's Four-dimensional Space (``World'') [Supplementary to Section 17]
124(2)
3 The Experimental Confirmation of the General Theory of Relativity
126(10)
(a) Motion of the Perihelion of Mercury
127(2)
(b) Deflection of Light by a Gravitational Field
129(3)
(c) Displacement of Spectral Lines towards the Red
132(4)
4 The Structure of Space according to the General Theory of Relativity [Supplementary to Section 32]
136(3)
5 Relativity and the Problem of Space
139(20)
Bibliography
159(2)
Index
161