Introduction To Special Relativity

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Table of Contents Chapter I The Experimental Background of the Theory of Special Relativity 1.1 Introduction 1.2 Galilean Transformations 1.3 Newtonian Relativity 1.4 Electromagnetism and Newtonian Relativity 1.5 Attempts to Locate the Absolute Frame; the Michelson-Morley Experiment 1.6 Attempts to Preserve the Concept of a Preferred Ether Frame; the Lorentz-Fitzgerald Contraction Hypothesis 1.7 Attempts to Preserve the Concept of Preferred Ether Frame; the Ether-Drag Hypothesis 1.8 Attempts to Modify Electrodynamics 1.9 The Postulates of Special Relativity Theory 1.10 Einstein and the Origin of Relativity Theory Chapter II Relativistic Kinematics 2.1 The Relativity of Simultaneity 2.2 Derivation of the Lorentz Transformation Equations 2.3 Some Consequences of the Lorentz Transformation Equations 2.4 A More Physical Look at the Main Features of the Lorentz Transformation Equations 2.5 The Observer in Relativity 2.6 The Relativistic Addition of Velocities 2.7 Aberration and Doppler Effect of Relativity Chapter III Relativistic Dynamics 3.1 Mechanics and Relativity 3.2 The Need to Redefine Momentum 3.3 Relativistic Momentum 3.4 Alternative Views of Mass in Relativity 3.5 The Relativistic Force Law and the Dynamics of a Single Particle 3.6 The Equivalence of Mass and Energy 3.7 The Transformation Properties of Momentum, Energy, Mass, and Force Chapter IV Relativity and Electromagnetism 4.1 Introduction 4.2 The Interdependence of Electric and Magnetic Fields 4.3 The Transformation for E and B 4.4 The Field of a Uniformly Moving Point Charge 4.5 Forces and Fieldsnear a Current-Carrying Wire 4.6 Forces between Moving Charges 4.7 The Invariance of Maxwell's Equations 4.8 The Possible Limitations of Special Relativity Supplementary Topic A The Geometric Representation of Space-Time A-1 Space-Time Diagrams A-2 Simultaneity, Contraction, and Dilation A-3 The Time Order and Space Separation of Events Supplementary Topic B The Twin Paradox B-1 Introduction B-2 The Route Dependence of Proper Time B-3 Space-Time Diagram of the Twin Paradox B-4 Some Other Considerations B-5 An Experimental Test Supplementary Topic C The Principles of Equivalence and General Relativity C-1 Introduction C-2 The Principles of Equivalence C-3 The Gravitational Red shift C-4 General Relativity Theory Answers to Problems Index