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URL: http://www.jewish-sci-tech-books.com/catalogue/60769-0/contents.htm Copyright © 2003
   

 
E i n s t e i n ' s   T h e o r y   o f   R e l a t i v i t y
by Max Born
 
contents page

 

INTRODUCTION1
CHAPTER I. GEOMETRY AND COSMOLOGY
1.The Origin of the Art of Measuring Space and Time5
2.Units of Length and Time5
3.Origin and Coordinate System6
4.The Axioms of Geometry8
5.The Ptolemaic System9
6.The Copernican System10
7.The Elaboration of the Copernican Doctrine12
CHAPTER II. THE FUNDAMENTAL LAWS OF CLASSICAL MECHANICS
1.Equilibrium and the Concept of Force14
2.The Study of Motion-Rectilinear Motion16
3.Motion in a Plane23
4.Circular Motion25
5.Motion in Space28
6.Dynamics - The Law of Inertia29
7.Impulses30
8.The Effect of an Impulse31
9.Mass and Momentum32
10.Force and Acceleration35
11.Example - Elastic Vibrations37
12.Weight and Mass41
13.Analytical Mechanics45
14.The Law of Energy46
15.Dynamical Units of Force and Mass51
CHAPTER III. THE NEWTONIAN WORLD SYSTEM
1.Absolute Space and Absolute Time54
2.Newton's Law of Attraction58
3.Universal Gravitation60
4.Celestial Mechanics64
5.The Relativity Principle of Classical Mechanics67
6.Limited Absolute Space69
7.Galileo Transformations71
8.Inertial Forces76
9.Centrifugal Forces and Absolute Space78
CHAPTER IV. THE FUNDAMENTAL LAWS OF OPTICS
1.The Ether86
2.The Corpuscular and the Undulatory Theory87
3.The Velocity of Light91
4.Elements of the Wave Theory-Interference96
5.Polarization and Transversality of Light Waves104
6.The Ether as an Elastic Solid108
7.The Optics of Moving Bodies118
8.The Doppler Effect121
9.The Convection of Light by Matter128
10.Aberration140
11.Retrospect and Further Development142
CHAPTER V. THE FUNDAMENTAL LAWS OF ELECTRODYNAMICS
1.Electro- and Magnetostatics146
2.Voltaic Electricity and Electrolysis156
3.Resistance and Heat of Current160
4.Electromagnetism162
5.Faraday's Lines of Force165
6.The Electrical Displacement Current174
7.Magnetic Induction176
8.Maxwell's Theory of Action by Contact179
9.The Electromagnetic Theory of Light183
10.The Electromagnetic Ether190
11.Hertz's Theory of Moving Bodies192
12.The Electron Theory of Lorentz199
13.Electromagnetic Mass207
14.Michelson and Morley's Experiment214
15.The Contraction Hypothesis218
CHAPTER VI. EINSTEIN'S SPECIAL PRINCIPLE OF RELATIVITY
1.The Concept of Simultaneity225
2.Einstein's Kinematics and Lorentz's Transformations232
3.Geometrical Representation of Einstein's Mechanics238
4.Moving Measuring Rods and Clocks246
5.Appearance and Reality251
6.The Addition of Velocities262
7.Einstein's Dynamics267
8.The Inertia of Energy278
9.Energy and Momentum289
10.Optics of Moving Bodies297
11.Minkowski's Absolute World305
CHAPTER VII. EINSTEIN'S GENERAL THEORY OF RELATIVITY
1.Relativity in the Case of Arbitrary Motions309
2.The Principle of Equivalence312
3.The Failure of Euclidean Geometry317
4.Geometry on Curved Surfaces321
5.The Two-dimensional Continuum327
6.Mathematics and Reality330
7.The Metric of the Space-Time Continuum335
8.The Fundamental Laws of the New Mechanics339
9.Mechanical Inferences and Confirmations342
10.Predictions of the New Mechanics and Their Confirmations347
11.Optical Deductions and Confirmations351
12.Cosmology362
13.The Unified Field Theory370
14.Conclusion372
INDEX373

 

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